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Topological Corner States due to Boundary Defects
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作者 Yiqi Zhang Yuwei Hu +1 位作者 Yongdong Li Ce Shang 《Chinese Physics Letters》 2026年第1期44-48,共5页
In conventional higher-order topological insulators(HOTIs),the emergence of topological states can be explained by using the nonzero bulk polarization index.However,corner states emerge in HOTIs with incomplete bounda... In conventional higher-order topological insulators(HOTIs),the emergence of topological states can be explained by using the nonzero bulk polarization index.However,corner states emerge in HOTIs with incomplete boundary unit cells(i.e.,boundary defects)even though the bulk polarization is zero,which challenges the conventional understanding of HOTIs.Here,based on a Kekul´e-distorted honeycomb lattice with incomplete unit cells,we reveal that incomplete unit cells exhibit fractional charges through the analysis of Wannier centers by developing a compensation method and creating the concept of Wannier center domain(WCD)which is the smallest region that one Wannier center occupies.This method compensates for the missing parts of these boundary incomplete unit cells with additional WCDs to make them complete.The compensated WCDs automatically carry the corresponding charge,and this charge together with that of the incomplete unit cell constitutes the total charge of the complete unit cell after compensation.We conclude that the emergence of corner states is attributed to the filling anomaly,which is a fundamental mechanism.Our results refresh the understanding of HOTIs,especially those with structural discontinuities,and provide a novel design for topological states which have application value in producing optical functional devices. 展开更多
关键词 unit cellswe higher order topological insulators topological corner states boundary unit cells ieboundary incomplete unit cells bulk polarization index fractional charges emergence topological states
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Coexistence of near-E_(F) Van Hove Singularity and in-Gap Topological Dirac Surface States in Superconducting Electrides
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作者 Yin Yang Peihan Sun +9 位作者 Ye Shen Zhijun Tu Pengcheng Ma Hongrun Zhen Tianqi Wang Longli Tian Tian Cui Hechang Lei Kai Liu Zhonghao Liu 《Chinese Physics Letters》 2026年第1期213-217,共5页
Superconducting elect rides have attracted growing attention for their potential to achieve high superconducting transition temperatures(T_(C))under pressure.However,many known elect rides are chemically reactive and ... Superconducting elect rides have attracted growing attention for their potential to achieve high superconducting transition temperatures(T_(C))under pressure.However,many known elect rides are chemically reactive and unstable,making high-quality single-crystal growth,characterization,and measurements difficult,and most do not exhibit superconductivity at ambient pressure.In contrast,La_(3) In stands out for its ambient-pressure superconductivity(T_(C)∼9.4 K)and the availability of high-quality single crystals.Here,we investigate its low-energy electronic structure using angle-resolved photoemission spectroscopy and first-principles calculations.The bands near the Fermi energy(E_(F))are mainly derived from La 5d and In 5p orbitals.A saddle point is directly observed at the Brillouin zone(BZ)boundary,while a three-dimensional Van Hove singularity crosses E_(F) at the BZ corner.First-principles calculations further reveal topological Dirac surface states within the bulk energy gap above E_(F).The coexistence of a high density of states and in-gap topological surface states near𝐸F suggests that La3In offers a promising platform for tuning superconductivity and exploring possible topological superconducting phases through doping or external pressure. 展开更多
关键词 ambient pressure superconductivity superconducting elect rides gap topological Dirac surface states La superconducting electrides near e f Van Hove singularity angle resolved photoemission spectroscopy elect rides
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Study on covering rough sets with topological methods 被引量:2
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作者 Xue Wang Liwen Ma 《CAAI Transactions on Intelligence Technology》 2019年第3期129-134,共6页
The authors study the covering rough sets by topological methods. They combine the covering rough sets and topological spaces by means of defining some new types of spaces called covering rough topological (CRT) space... The authors study the covering rough sets by topological methods. They combine the covering rough sets and topological spaces by means of defining some new types of spaces called covering rough topological (CRT) spaces based on neighbourhoods or complementary neighbourhoods. As the separation axioms play a fundamental role in general topology, they introduce all these axioms into covering rough set theories and thoroughly study the equivalent conditions for every separation axiom in several CRT spaces. They also investigate the relationships between the separation axioms in these special spaces and reveal these relationships through diagrams in different CRT spaces. 展开更多
关键词 STUDY on COVERING ROUGH sets topological methods different CRT SPACES
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Graphic Methods in Topological Dynamics
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作者 陈仁莲 何伟弘 罗俊 《Northeastern Mathematical Journal》 CSCD 2008年第2期109-117,共9页
This paper considers the graph sequence graph (f^n )={x×f^n : x ∈X} of the iterates f^n of a continuous map f : X →X on a compact metric space (X, d). The main aim is to introduce serval limit sets by usi... This paper considers the graph sequence graph (f^n )={x×f^n : x ∈X} of the iterates f^n of a continuous map f : X →X on a compact metric space (X, d). The main aim is to introduce serval limit sets by using different recurrent time sets, and discuss the relation between dynamics of the underlying compact system (X, f) and the structure of these limit sets, from a topological or fractal viewpoint. 展开更多
关键词 graphic method dynamical system topological dynamics topological superior limit topological inferior limit
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Structural Modal Parameter Recognition and Related Damage Identification Methods under Environmental Excitations:A Review 被引量:5
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作者 Chao Zhang Shang-Xi Lai Hua-Ping Wang 《Structural Durability & Health Monitoring》 EI 2025年第1期25-54,共30页
Modal parameters can accurately characterize the structural dynamic properties and assess the physical state of the structure.Therefore,it is particularly significant to identify the structural modal parameters accordi... Modal parameters can accurately characterize the structural dynamic properties and assess the physical state of the structure.Therefore,it is particularly significant to identify the structural modal parameters according to the monitoring data information in the structural health monitoring(SHM)system,so as to provide a scientific basis for structural damage identification and dynamic model modification.In view of this,this paper reviews methods for identifying structural modal parameters under environmental excitation and briefly describes how to identify structural damages based on the derived modal parameters.The paper primarily introduces data-driven modal parameter recognition methods(e.g.,time-domain,frequency-domain,and time-frequency-domain methods,etc.),briefly describes damage identification methods based on the variations of modal parameters(e.g.,natural frequency,modal shapes,and curvature modal shapes,etc.)and modal validation methods(e.g.,Stability Diagram and Modal Assurance Criterion,etc.).The current status of the application of artificial intelligence(AI)methods in the direction of modal parameter recognition and damage identification is further discussed.Based on the pre-vious analysis,the main development trends of structural modal parameter recognition and damage identification methods are given to provide scientific references for the optimized design and functional upgrading of SHM systems. 展开更多
关键词 Structural health monitoring data information modal parameters damage identification AI method
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Insight Into the Separation-of-Variable Methods for the Closed-Form Solutions of Free Vibration of Rectangular Thin Plates
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作者 Yufeng Xing Ye Yuan Gen Li 《Computer Modeling in Engineering & Sciences》 SCIE EI 2025年第1期329-355,共27页
The separation-of-variable(SOV)methods,such as the improved SOV method,the variational SOV method,and the extended SOV method,have been proposed by the present authors and coworkers to obtain the closed-form analytica... The separation-of-variable(SOV)methods,such as the improved SOV method,the variational SOV method,and the extended SOV method,have been proposed by the present authors and coworkers to obtain the closed-form analytical solutions for free vibration and eigenbuckling of rectangular plates and circular cylindrical shells.By taking the free vibration of rectangular thin plates as an example,this work presents the theoretical framework of the SOV methods in an instructive way,and the bisection–based solution procedures for a group of nonlinear eigenvalue equations.Besides,the explicit equations of nodal lines of the SOV methods are presented,and the relations of nodal line patterns and frequency orders are investigated.It is concluded that the highly accurate SOV methods have the same accuracy for all frequencies,the mode shapes about repeated frequencies can also be precisely captured,and the SOV methods do not have the problem of missing roots as well. 展开更多
关键词 Separation-of-variable method Rayleigh quotient nodal line eigenvalue equation bisection method
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Improved methods,properties,applications and prospects of microbial induced carbonate precipitation(MICP)treated soil:A review 被引量:2
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作者 Xuanshuo Zhang Hongyu Wang +3 位作者 Ya Wang Jinghui Wang Jing Cao Gang Zhang 《Biogeotechnics》 2025年第1期34-54,共21页
Soil improvement is one of the most important issues in geotechnical engineering practice.The wide application of traditional improvement techniques(cement/chemical materials)are limited due to damage ecological en-vi... Soil improvement is one of the most important issues in geotechnical engineering practice.The wide application of traditional improvement techniques(cement/chemical materials)are limited due to damage ecological en-vironment and intensify carbon emissions.However,the use of microbially induced calcium carbonate pre-cipitation(MICP)to obtain bio-cement is a novel technique with the potential to induce soil stability,providing a low-carbon,environment-friendly,and sustainable integrated solution for some geotechnical engineering pro-blems in the environment.This paper presents a comprehensive review of the latest progress in soil improvement based on the MICP strategy.It systematically summarizes and overviews the mineralization mechanism,influ-encing factors,improved methods,engineering characteristics,and current field application status of the MICP.Additionally,it also explores the limitations and correspondingly proposes prospective applications via the MICP approach for soil improvement.This review indicates that the utilization of different environmental calcium-based wastes in MICP and combination of materials and MICP are conducive to meeting engineering and market demand.Furthermore,we recommend and encourage global collaborative study and practice with a view to commercializing MICP technique in the future.The current review purports to provide insights for engineers and interdisciplinary researchers,and guidance for future engineering applications. 展开更多
关键词 Soil improvement Bio-cement MICP Improved methods Field application cases
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The Impairment Attention Capture by Topological Change in Children With Autism Spectrum Disorder
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作者 XU Hui-Lin XI Huan-Jun +4 位作者 DUAN Tao LI Jing LI Dan-Dan WANG Kai ZHU Chun-Yan 《生物化学与生物物理进展》 北大核心 2025年第1期223-232,共10页
Objective Autism spectrum disorder(ASD)is a neurodevelopmental condition characterized by difficulties with communication and social interaction,restricted and repetitive behaviors.Previous studies have indicated that... Objective Autism spectrum disorder(ASD)is a neurodevelopmental condition characterized by difficulties with communication and social interaction,restricted and repetitive behaviors.Previous studies have indicated that individuals with ASD exhibit early and lifelong attention deficits,which are closely related to the core symptoms of ASD.Basic visual attention processes may provide a critical foundation for their social communication and interaction abilities.Therefore,this study explores the behavior of children with ASD in capturing attention to changes in topological properties.Methods Our study recruited twenty-seven ASD children diagnosed by professional clinicians according to DSM-5 and twenty-eight typically developing(TD)age-matched controls.In an attention capture task,we recorded the saccadic behaviors of children with ASD and TD in response to topological change(TC)and non-topological change(nTC)stimuli.Saccadic reaction time(SRT),visual search time(VS),and first fixation dwell time(FFDT)were used as indicators of attentional bias.Pearson correlation tests between the clinical assessment scales and attentional bias were conducted.Results This study found that TD children had significantly faster SRT(P<0.05)and VS(P<0.05)for the TC stimuli compared to the nTC stimuli,while the children with ASD did not exhibit significant differences in either measure(P>0.05).Additionally,ASD children demonstrated significantly less attention towards the TC targets(measured by FFDT),in comparison to TD children(P<0.05).Furthermore,ASD children exhibited a significant negative linear correlation between their attentional bias(measured by VS)and their scores on the compulsive subscale(P<0.05).Conclusion The results suggest that children with ASD have difficulty shifting their attention to objects with topological changes during change detection.This atypical attention may affect the child’s cognitive and behavioral development,thereby impacting their social communication and interaction.In sum,our findings indicate that difficulties in attentional capture by TC may be a key feature of ASD. 展开更多
关键词 ATTENTION autism spectrum disorder perceptual object topological perception
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Nonstandard Analysis Methods for Separations in [0,1]-topological Spaces
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作者 MA CHUN-HUI SHI YAN-WEI 《Communications in Mathematical Research》 CSCD 2012年第3期275-280,共6页
In nonstandard enlargement, the separations are characterized by non- standard analysis methods in [0, 1J-topological spaces. Firstly, the monads of fuzzy point in [0, 1]-topological spaces are described with remote-n... In nonstandard enlargement, the separations are characterized by non- standard analysis methods in [0, 1J-topological spaces. Firstly, the monads of fuzzy point in [0, 1]-topological spaces are described with remote-neighborhoods in non- standard enlarged model. Then the nonstandard characterizations of separations in [0, 1]-topological space are given by the monads. At last, relations of these separations are investigated. 展开更多
关键词 nonstandard enlargement fuzzy point [0 1]-topological space remote- neighborhood MONAD
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Numerical Methods for Boundary Value Problems in Variable Coefficient Ordinary Differential Equations 被引量:1
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作者 ZHAO Ting-ting CAI Wei-yun 《Chinese Quarterly Journal of Mathematics》 2025年第3期295-303,共9页
In order to solve the problem of the variable coefficient ordinary differen-tial equation on the bounded domain,the Lagrange interpolation method is used to approximate the exact solution of the equation,and the error... In order to solve the problem of the variable coefficient ordinary differen-tial equation on the bounded domain,the Lagrange interpolation method is used to approximate the exact solution of the equation,and the error between the numerical solution and the exact solution is obtained,and then compared with the error formed by the difference method,it is concluded that the Lagrange interpolation method is more effective in solving the variable coefficient ordinary differential equation. 展开更多
关键词 Variable coefficient ordinary differential equations Lagrange interpolation Difference methods
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A Review of the Hydrodynamic Damping Characteristics of Blade-like Structures:Focus on the Quantitative Identification Methods and Key Influencing Parameters 被引量:1
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作者 Yongshun Zeng Zhaohui Qian +1 位作者 Jiayun Zhang Zhifeng Yao 《哈尔滨工程大学学报(英文版)》 2025年第1期21-34,共14页
Ocean energy has progressively gained considerable interest due to its sufficient potential to meet the world’s energy demand,and the blade is the core component in electricity generation from the ocean current.Howev... Ocean energy has progressively gained considerable interest due to its sufficient potential to meet the world’s energy demand,and the blade is the core component in electricity generation from the ocean current.However,the widened hydraulic excitation frequency may satisfy the blade resonance due to the time variation in the velocity and angle of attack of the ocean current,even resulting in blade fatigue and destructively interfering with grid stability.A key parameter that determines the resonance amplitude of the blade is the hydrodynamic damping ratio(HDR).However,HDR is difficult to obtain due to the complex fluid-structure interaction(FSI).Therefore,a literature review was conducted on the hydrodynamic damping characteristics of blade-like structures.The experimental and simulation methods used to identify and obtain the HDR quantitatively were described,placing emphasis on the experimental processes and simulation setups.Moreover,the accuracy and efficiency of different simulation methods were compared,and the modal work approach was recommended.The effects of key typical parameters,including flow velocity,angle of attack,gap,rotational speed,and cavitation,on the HDR were then summarized,and the suggestions on operating conditions were presented from the perspective of increasing the HDR.Subsequently,considering multiple flow parameters,several theoretical derivations and semi-empirical prediction formulas for HDR were introduced,and the accuracy and application were discussed.Based on the shortcomings of the existing research,the direction of future research was finally determined.The current work offers a clear understanding of the HDR of blade-like structures,which could improve the evaluation accuracy of flow-induced vibration in the design stage. 展开更多
关键词 Blade fatigue Hydrodynamic damping ratio Identification method Affecting factors Prediction formula
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Smooth topological design of material microstructures based on floating projection
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作者 Zihao MENG Yiru REN 《Chinese Journal of Aeronautics》 2025年第9期477-488,共12页
Topology optimization stands as a pivotal technique in realizing periodic microstructure design.A novel approach is proposed,integrating the energy-based homogenization method with the Floating Projection Topology Opt... Topology optimization stands as a pivotal technique in realizing periodic microstructure design.A novel approach is proposed,integrating the energy-based homogenization method with the Floating Projection Topology Optimization(FPTO)method to achieve smooth topology design.The objective is to optimize the periodic microstructure to maximize the properties of specific materials,such as bulk modulus and shear modulus,or to achieve negative Poisson's ratio.Linear material interpolation is used to eliminate the nonlinear challenges and design dependence caused by material penalty.Furthermore,the three-field density representation technique is applied to augment length scales and solid/void characteristics.Through systematic analysis and numerical simulations,the impacts of various initial designs and optimization parameters on the optimization outcomes are investigated.The results demonstrate that the optimized periodic microstructures exhibit extreme performance with clear boundaries.The identification of appropriate optimization parameters is crucial for enhancing the extreme mechanical properties of material microstructures.It can provide valuable guidance for aerospace component design involving material microstructures and metamaterials. 展开更多
关键词 Energy-based homogenization method Floating projection Periodic microstructure design Smooth boundary Topology optimization
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Observation of Topological Hall Effect and Nernst Effect in the Canted Antiferromagnetic Phase of MnBi_(2)Te_4
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作者 Haiyang Yang Junwu Huang +11 位作者 Shangjie Tian Keqi Xia Zhouliang Wang Yuwei Zhang Jiajun Ma Hanjie Guo Xuefeng Zhang Jianhui Dai Yongkang Luo Shouguo Wang Hechang Lei Yuke Li 《Chinese Physics Letters》 2025年第8期185-194,共10页
In magnetic topological materials,the interplay between magnetism and nontrivial topology gives rise to exotic quantum transport phenomena,including the anomalous Hall effect and anomalous Nernst effect.Here,we report... In magnetic topological materials,the interplay between magnetism and nontrivial topology gives rise to exotic quantum transport phenomena,including the anomalous Hall effect and anomalous Nernst effect.Here,we report the observation of intrinsic topological Hall and topological Nernst effects below the Néel temperature(T_(N)=25 K)in the antiferromagnetic(AFM)topological insulator Mn Bi_(2)Te_(4).The maximum of topological Hall resistivity reaches approximately 9μΩ·cm at 2 K,while the topological Nernst signal attains a peak value of 0.1μV/K near 10 K.These anomalous transport behaviors originate from the net Berry curvature induced by the non-collinear spin structure in the canted AFM state.Our results suggest a close connection between the topological thermoelectric effect and non-collinear AFM order in AFM topological insulators. 展开更多
关键词 hall effect topological nernst effect magnetic topological materialsthe topological hall effect topological hall topological nernst effects nernst effectherewe topological nernst signa quantum transport phenomenaincluding
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cis/trans-Octahedral configuration induced topologically different MOFs:Syntheses,structures,and Hirshfeld surface analyses
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作者 PENG Ri BAI Yingxiang +1 位作者 XIE Yuxin ZHU Dunru 《无机化学学报》 北大核心 2025年第8期1650-1660,共11页
Two metal-organic frameworks(MOFs),trans-[Co(L)(μ_(2)-H_(2)O)(H_(2)O)2]·2H_(2)O(1)and cis-[Mn(L)(Bipy)](2)(H_(2)L=2,2'-dimethyl-4,4'-biphenyldicarboxylic acid,Bipy=4,4'-bipyridine),have been synthesi... Two metal-organic frameworks(MOFs),trans-[Co(L)(μ_(2)-H_(2)O)(H_(2)O)2]·2H_(2)O(1)and cis-[Mn(L)(Bipy)](2)(H_(2)L=2,2'-dimethyl-4,4'-biphenyldicarboxylic acid,Bipy=4,4'-bipyridine),have been synthesized and character-ized by FTIR,thermogravimetric analysis(TGA),powder and single crystal X-ray diffraction.MOF 1 crystallizes in the triclinic system with a P1 space group and contains two crystallographically different Coions.Each trans-[CoO_(6)]octahedron is connected byμ_(2)-H_(2)O and L^(2-)ligand with a bis(unidentate)coordination mode to produce a 2D sql topological network.MOF 2 crystallizes in the monoclinic system with a C2/c space group.The Mncation adopts a cis-[MnO_(4)N_(2)]octahedron as a 6-connected node and is linked by L^(2-)ligand as a 4-connected node to gener-ate a binodal(4,6)-connected 3D fsc framework.The intermolecular interactions in 1 and 2 have been investigated by 3D Hirshfeld surface analyses and 2D fingerprint plots to reveal that the main interactions are H…H and O…H/H…O contacts in 1,and H…H and C…H/H…C contacts in 2.The TGA indicated that 1 and 2 were stable below 390 and 370℃,respectively. 展开更多
关键词 metal-organic framework 2 2'-dimethyl-4 4'-biphenyldicarboxylic acid cis/trans-octahedron TOPOLOGY
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Second-Order Topological Insulators in 2D Electronic Materials
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作者 FENG Xiao-ran NIU Cheng-wang +1 位作者 HUANG Bai-biao DAI Ying 《物理学进展》 北大核心 2025年第1期1-31,共31页
Higher-order band topology not only enriches our understanding of topological phases but also unveils pioneering lower-dimensional boundary states,which harbors substantial potential for next-generation device applica... Higher-order band topology not only enriches our understanding of topological phases but also unveils pioneering lower-dimensional boundary states,which harbors substantial potential for next-generation device applications.The distinct electronic configurations and tunable attributes of two-dimensional materials position them as a quintessential platform for the realization of second-order topological insulators(SOTIs).This article provides an overview of the research progress in SOTIs within the field of two-dimensional electronic materials,focusing on the characterization of higher-order topological properties and the numerous candidate materials proposed in theoretical studies.These endeavors not only enhance our understanding of higher-order topological states but also highlight potential material systems that could be experimentally realized. 展开更多
关键词 second order topological insulator corner state 2D electronic material
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Topological Euler insulators and metals on triangular lattices
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作者 Mei-Song Wei Jingping Xu Yaping Yang 《Communications in Theoretical Physics》 2025年第12期187-192,共6页
The topological phases and edge states of a topological Euler insulator on a triangular lattice is studied.Differently from two-band Chern insulators,a topological Euler insulator is a kind of three-band model,describ... The topological phases and edge states of a topological Euler insulator on a triangular lattice is studied.Differently from two-band Chern insulators,a topological Euler insulator is a kind of three-band model,described by the Euler number not the Chern number.The spin textures of a topological Euler insulator in the momentum space is like a Néel-type skyrmion.It is found that the topological edge states exist in the band gap of the topological Euler insulator,and the topological Euler insulator can be transformed into a topological metal without the topological phase transition. 展开更多
关键词 topological euler insulators topological insulators topological metals topological phase
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Arbitrary Positioning Higher-Order Topological Boundary States in Fe Breathing-Kagome Lattices on Ag(111)
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作者 Rui-Ge Yan Zhuo-Xing Zhang +8 位作者 Tong-Zhou Ji Wen-Lin Fan Hao-Tian Li Liang Sun Bing-Feng Miao Gong Chen Rui Wang Bai-Geng Wang Hai-Feng Ding 《Chinese Physics Letters》 2025年第8期242-263,共22页
Higher-order topological insulators,which host topologically protected states at boundaries that are at least two dimensions lower than the bulk,are an emerging class of topological materials.They provide great opport... Higher-order topological insulators,which host topologically protected states at boundaries that are at least two dimensions lower than the bulk,are an emerging class of topological materials.They provide great opportunities for exploring novel topological phenomena and fascinating applications.Utilizing a low-temperature scanning tunneling microscope,we construct breathing-kagome lattices with Fe adatoms on Ag(111)and investigate their electronic properties.We observe the higher-order topological boundary states in the topological phase but not in the trivial one,which is consistent with the theory.These states are found to be robust against the removal of bulk or edge adatoms.Further,we show the arbitrary positioning of these states either at corner,edge,or bulk sites by slightly modifying their neighbors.Our study not only demonstrates the formation and robustness of the electronic higher-order topological boundary states in real atomic systems but also provides a route for controlling their positions. 展开更多
关键词 arbitrary positioning higher order topological boundary states Ag topological materialsthey Fe breathing kagome lattices higher order topological insulators fe adatoms topologically protected states
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Topological transmission and topological corner states combiner in all-dielectric honeycomb valley photonic crystals
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作者 Ming Sun Xiao-Fang Xu +2 位作者 Yun-Feng Shen Ya-Qing Chang Wen-Ji Zhou 《Chinese Physics B》 2025年第3期424-431,共8页
We study the topological states(TSs)of all-dielectric honeycomb valley photonic crystals(VPCs).Breaking the space inversion symmetry of the honeycomb lattice by varying the filling ratio of materials for circular ring... We study the topological states(TSs)of all-dielectric honeycomb valley photonic crystals(VPCs).Breaking the space inversion symmetry of the honeycomb lattice by varying the filling ratio of materials for circular ring dielectric columns in the unit cell,which triggers topological phase transitions and thus achieves topological edge states(TESs)and topological corner states(TCSs).The results demonstrate that this structure has efficient photon transmission characteristics and anti-scattering robustness.In particular,we have found that changing the type of edge splicing between VPCs with different topological properties produces a change in the frequency of TCSs,and then based on this phenomenon,we have used a new method of adjusting only the type of edge splicing of the structure to design a novel TCSs combiner that can integrate four TCSs with different frequencies.This work not only expands the variety and number of unexplored TCSs that may exist in a fixed photonic band gap and can be rationalized to be selectively excited in the fixed configuration.Our study provides a feasible pathway for the design of integrated optical devices in which multiple TSs coexist in a single photonic system. 展开更多
关键词 valley photonic crystals topological phase transitions topological edge states topological corner states COMBINER
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Substrate Design and Multistate Manipulation of Ferroelectric Topological Insulators
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作者 Xinyang Gao Bao Zhao +2 位作者 Yanxing Zhang Zongxian Yang Ruqian Wu 《Chinese Physics Letters》 2025年第11期222-237,共16页
Ferroelectric topological insulators realized in heterostructures of two topologically trivial two-dimensional materials have recently attracted significant interest. Using first-principles calculations combined with ... Ferroelectric topological insulators realized in heterostructures of two topologically trivial two-dimensional materials have recently attracted significant interest. Using first-principles calculations combined with topological quantum chemistry, we investigate bilayer α-In_(2) Se_(3)(2 L-In_(2) Se_(3)) in van der Waals heterostructures with XSe(X = Ga, In, Tl) substrates within space group P 3m1(No. 156). We show that the emergence of ferroelectricity-driven topological phase transitions in these systems is dictated by fundamental symmetry principles rather than material-specific effects. The band bending at the XSe/2 L-In_(2) Se_(3) interface enables topological band inversions, with higher-electron-affinity substrates such as GaSe and TlSe favoring the transition. Remarkably, GaSe/2 L-In_(2) Se_(3) exhibits a reversible transition between topological and trivial insulating phases upon polarization switching, while TlSe/2 L-In_(2) Se_(3) undergoes sequential transitions from a topological insulator to a trivial insulator and eventually to a metallic state. This multistate manipulation highlights a viable route for designing tunable, low-power, multi-functional electronic devices. 展开更多
关键词 ferroelectric topological insulators symmetry principles van der waals heterostructures HETEROSTRUCTURES topological insulators band bending topological quantum chemistry FERROELECTRICITY
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First Full-Scale Field Experiments:Topologically Amplified Seismic Surface Waves via Interface States in a 1D Metamaterial
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作者 Xin-Chao Zhang Ning Zheng +2 位作者 Chang-Yin Ji Yu-Lin Lu Qing-Fan Shi 《Chinese Physics Letters》 2025年第12期178-182,共5页
Topological insulators with localized edge or interface states have been extensively studied,particularly in phononic crystals and related fields;however,their application in seismic metamaterials remains largely unex... Topological insulators with localized edge or interface states have been extensively studied,particularly in phononic crystals and related fields;however,their application in seismic metamaterials remains largely unexplored.To address this gap,we designed a topological seismic metamaterial,where the topological interface is formed by joining the ends of two distinct one-dimensional periodic lattices.The first full-scale field experiment confirms the existence of topological interface states,which exhibit pronounced localization characteristics and induce a resonant amplification effect of 7.2 dB on the total energy of seismic surface waves.This study provides the first experimental validation for the implementation of topological principles in the design of seismic metamaterials,enabling novel approaches to high-sensitivity seismic detection and efficient energy localization for wave control. 展开更多
关键词 seismic metamaterials phononic crystals topological insulators topological seismic metamaterialwhere topological seismic metamaterials interface states seismic surface waves joining ends
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