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Interplay between the Pseudogap and Superconductivity in Doped Mott Insulators:a Cluster Dynamical Mean-Field Theory Study
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作者 Jinbin Liu Dao-Xin Yao Wei Wu 《Chinese Physics Letters》 2025年第8期264-269,共6页
We investigate the interplay between the pseudogap state and d-wave superconductivity in the two-dimensional doped Hubbard model by employing an eight-site cluster dynamical mean-field theory method.By tuning electron... We investigate the interplay between the pseudogap state and d-wave superconductivity in the two-dimensional doped Hubbard model by employing an eight-site cluster dynamical mean-field theory method.By tuning electron hopping parameters,the strong-coupling pseudogap in the two-dimensional Hubbard model can be either enhanced or suppressed in the doped Mott insulator regime.We find that in underdoped cases,the closing of pseudogap leads to a significant enhancement of superconductivity,indicating competition between the two in the underdoped regime.In contrast,at large dopings,suppressing the pseudogap is accompanied by a concurrent decrease in the superconducting transition temperature Tc,which can be attributed to a reduction in antiferromagnetic correlations behind both the pseudogap and superconductivity.We elucidate this evolving relationship between pseudogap and superconductivity across different doping regimes. 展开更多
关键词 doped mott insulator regimewe PSEUDOGAP tuning electron hopping parametersthe closing pseudogap doped mott insulators competition b cluster dynamical mean field theory electron hopping
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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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Interaction enhanced inter-site hoppings for holons and interlayer exciton insulators in moiré correlated insulators
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作者 Zijian Ma Hongyi Yu 《Chinese Physics B》 2025年第9期519-525,共7页
In moiré-patterned van der Waals structures of transition metal dichalcogenides,correlated insulators can form under integer and fractional fillings,whose transport properties are governed by various quasiparticl... In moiré-patterned van der Waals structures of transition metal dichalcogenides,correlated insulators can form under integer and fractional fillings,whose transport properties are governed by various quasiparticle excitations including holons,doublons and interlayer exciton insulators.Here we theoretically investigate the nearest-neighbor inter-site hoppings of holons and interlayer exciton insulators.Our analysis indicates that these hopping strengths are significantly enhanced compared to that of a single carrier.The underlying mechanism can be attributed to the strong Coulomb interaction between carriers at different sites.For the interlayer exciton insulator consisting of a holon and a carrier in different layers,we have also obtained its effective Bohr radius and energy splitting between the ground and the first-excited states. 展开更多
关键词 correlated insulator holon interlayer exciton insulator moirépattern
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Influence of surface contamination on electric field distribution of insulators
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作者 Xingcai Li Yingge Liu Juan Wang 《Chinese Physics B》 2025年第3期367-379,共13页
Atmospheric particle adsorption on insulator surfaces,coupled with humid environments,significantly affects contamination flashover,necessitating a clear understanding of the electric field distribution on insulator s... Atmospheric particle adsorption on insulator surfaces,coupled with humid environments,significantly affects contamination flashover,necessitating a clear understanding of the electric field distribution on insulator surfaces with adsorbed particles.This is crucial for accurately assessing insulator safety and informing critical decision-making.Although previous research has demonstrated that particle arrangement significantly influences the electric field distribution around transmission lines,an in-depth analysis of its effects on insulator surfaces remains lacking.To address this gap,this study establishes a composite insulator model to examine how three types of spherical contamination layers affect the electric field distribution on insulator surfaces under varying environmental conditions.The results reveal that in dry environments,the electric field strength at the apex of single-particle contamination layers increases with the particle size and relative permittivity.For the double-particle contamination layers,the electric field intensity on the insulator surface decreases as the particle spacing increases,and larger particles are more likely to attract smaller charged particles.For triple-particle contamination layers arranged in a triangular pattern,the maximum surface field strength is nearly double that of the chain-arranged particles.Furthermore,within the chain-arranged triple-particle contamination layers,a large-small-large size arrangement has a more pronounced impact on the surface electric field than a small-large-small size arrangement.In humid environments,the surface electric field strength of insulators decreases with increasing contamination levels.These findings are of significant theoretical and practical importance for ensuring the safe operation of power systems. 展开更多
关键词 composite insulator electric field distribution CONTAMINATION humid environment arrangement pattern
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Higher-Order Topological Insulators with Fractional Charges Modulated by Lorentz Transformation
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作者 Yuwei Hu Suge Feng +6 位作者 Boquan Ren Hua Zhong Milivoj R.Belic Meng Cao Yongdong Li Tao Wang Yiqi Zhang 《Journal of Beijing Institute of Technology》 2025年第2期165-174,共10页
Topological insulators represent a new phase of matter,characterized by conductive surfaces,while their bulk remains insulating.When the dimension of the system exceeds that of the topological state by at least two,th... Topological insulators represent a new phase of matter,characterized by conductive surfaces,while their bulk remains insulating.When the dimension of the system exceeds that of the topological state by at least two,the insulators are classified as higher-order topological insulators(HOTI).The appearance of higher-order topological states,such as corner states,can be explained by the filling anomaly,which leads to the fractional spectral charges in the unit cell.Previously reported fractional charges have been quite limited in number and size.In this work,based on the two-dimensional(2D)Su-Schrieffer-Heeger model lattice,we demonstrated a new class of HOTIs with adjustable fractional charges that can take any value ranging from 0 to 1,achieved by utilizing the Lorentz transformation.Furthermore,this transformation generates novel bound-state-in-continuum-like corner states,even when the lattice is in a topological trivial phase,offering a new approach to light beam localization.This work paves the way for fabricating HOTIs with diverse corner states that offer promising applicative potential. 展开更多
关键词 topological insulator corner state spectral charge Lorentz transformation
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First-principles design of excitonic insulators:A review
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作者 Hongwei Qu Haitao Liu Yuanchang Li 《Chinese Physics B》 2025年第9期434-443,共10页
The excitonic insulator(EI)is a more than 60-year-old theoretical proposal that is still elusive.It is a purely quantum phenomenon involving the spontaneous generation of excitons in quantum mechanics and the spontane... The excitonic insulator(EI)is a more than 60-year-old theoretical proposal that is still elusive.It is a purely quantum phenomenon involving the spontaneous generation of excitons in quantum mechanics and the spontaneous condensation of excitons in quantum statistics.At this point,the excitons represent the ground state rather than the conventional excited state.Thus,the scarcity of candidate materials is a key factor contributing to the lack of recognized EI to date.In this review,we begin with the birth of EI,presenting the current state of the field and the main challenges it faces.We then focus on recent advances in the discovery and design of EIs based on the first-principles Bethe-Salpeter scheme,in particular the dark-exciton rule guided screening of materials.It not only opens up new avenues for realizing excitonic instability in direct-gap and wide-gap semiconductors,but also leads to the discovery of novel quantum states of matter such as half-EIs and spin-triplet EIs.Finally,we will look ahead to possible research pathways leading to the first recognized EI,both theoretically and computationally. 展开更多
关键词 excitonic insulator Bose condensation rst-principles Bethe-Salpeter equation(BSE)
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Random flux manipulating topological phase transitions in Chern insulators
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作者 Jinkun Wang Wu-Ming Liu 《Chinese Physics B》 2025年第6期493-503,共11页
We investigate the localization and topological properties of the Haldane model under the influence of random flux and Anderson disorder. Our localization analysis reveals that random flux induces a transition from in... We investigate the localization and topological properties of the Haldane model under the influence of random flux and Anderson disorder. Our localization analysis reveals that random flux induces a transition from insulating to metallic states, while Anderson localization only arises under the modulation of Anderson disorder. By employing real-space topological invariant methods, we demonstrates that the system undergoes topological phase transitions under different disorder manipulations, whereas random flux modulation uniquely induces topological Anderson insulator phases, with the potential to generate states with opposite Chern numbers. These findings highlight the distinct roles of disorder in shaping the interplay between topology and localization, providing insights into stabilizing topological states and designing robust topological quantum materials. 展开更多
关键词 topological phase transitions disorder system Chern insulator
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Role of symmetry in antiferromagnetic topological insulators
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作者 Sahar Ghasemi Morad Ebrahimkhas 《Chinese Physics B》 2025年第7期534-540,共7页
In this investigation,we delve into the interplay between strong interactions and intricate topological configurations,leading to emergent quantum states such as magnetic topological insulators.The crux of our researc... In this investigation,we delve into the interplay between strong interactions and intricate topological configurations,leading to emergent quantum states such as magnetic topological insulators.The crux of our research centers on elucidating how lattice symmetry modulates antiferromagnetic quantum Hall phenomena.Utilizing the spinful Harper-Hofstadter model enriched with a next-nearest-neighbor(NNN)hopping term,we discern a half-filling bandgap,paving the way for the manifestation of a quantum Hall insulator characterized by a Chern number,C=2.Upon integrating a checkerboardpatterned staggered potential(△)and the Hubbard interaction(U),the system exhibits complex dynamical behaviors.Marginal NNN hopping culminates in a Ne′el antiferromagnetic Mott insulator.In contrast,intensified hopping results in stripe antiferromagnetic configurations.Moreover,in the regime of limited NNN hopping,a C=1 Ne′el antiferromagnetic quantum Hall insulator emerges.A salient observation pertains to the manifestation of a C=1 antiferromagnetic quantum Hall insulator when spin-flip mechanisms are not offset by space group symmetries.These findings chart a pathway for further explorations into antiferromagnetic Quantum Hall States. 展开更多
关键词 antiferromagnetic quantum hall insulator topological phase transitions Harper-Hofstadter-Hubbard model lattice symmetry effects
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Exciton insulators in two-dimensional systems
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作者 Huaiyuan Yang Xi Dai Xin-Zheng Li 《Chinese Physics B》 2025年第9期496-505,共10页
Electron-hole interactions play a crucial role in determining the optoelectronic properties of materials,and in lowdimensional systems this is especially true due to the decrease of screening.In this review,we focus o... Electron-hole interactions play a crucial role in determining the optoelectronic properties of materials,and in lowdimensional systems this is especially true due to the decrease of screening.In this review,we focus on one unique quantum phase induced by the electron-hole interaction in two-dimensional systems,known as“exciton insulators”(EIs).Although this phase of matter has been studied for more than half a century,suitable platforms for its stable realization remain scarce.We provide an overview of the strategies to realize EIs in accessible materials and structures,along with a discussion on some unique properties of EIs stemming from the band structures of these materials.Additionally,signatures in experiments to distinguish EIs are discussed. 展开更多
关键词 excitonic insulator two-dimensional materials
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Data augmentation method for insulators based on Cycle-GAN
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作者 Run Ye Azzedine Boukerche +3 位作者 Xiao-Song Yu Cheng Zhang Bin Yan Xiao-Jia Zhou 《Journal of Electronic Science and Technology》 EI CAS CSCD 2024年第2期36-47,共12页
Data augmentation is an important task of using existing data to expand data sets.Using generative countermeasure network technology to realize data augmentation has the advantages of high-quality generated samples,si... Data augmentation is an important task of using existing data to expand data sets.Using generative countermeasure network technology to realize data augmentation has the advantages of high-quality generated samples,simple training,and fewer restrictions on the number of generated samples.However,in the field of transmission line insulator images,the freely synthesized samples are prone to produce fuzzy backgrounds and disordered samples of the main insulator features.To solve the above problems,this paper uses the cycle generative adversarial network(Cycle-GAN)used for domain conversion in the generation countermeasure network as the initial framework and uses the self-attention mechanism and channel attention mechanism to assist the conversion to realize the mutual conversion of different insulator samples.The attention module with prior knowledge is used to build the generation countermeasure network,and the generative adversarial network(GAN)model with local controllable generation is built to realize the directional generation of insulator belt defect samples.The experimental results show that the samples obtained by this method are improved in a number of quality indicators,and the quality effect of the samples obtained is excellent,which has a reference value for the data expansion of insulator images. 展开更多
关键词 Data expansion Deep learning Generate confrontation network INSULATOR
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A Simple and Effective Surface Defect Detection Method of Power Line Insulators for Difficult Small Objects
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作者 Xiao Lu Chengling Jiang +2 位作者 Zhoujun Ma Haitao Li Yuexin Liu 《Computers, Materials & Continua》 SCIE EI 2024年第4期373-390,共18页
Insulator defect detection plays a vital role in maintaining the secure operation of power systems.To address the issues of the difficulty of detecting small objects and missing objects due to the small scale,variable... Insulator defect detection plays a vital role in maintaining the secure operation of power systems.To address the issues of the difficulty of detecting small objects and missing objects due to the small scale,variable scale,and fuzzy edge morphology of insulator defects,we construct an insulator dataset with 1600 samples containing flashovers and breakages.Then a simple and effective surface defect detection method of power line insulators for difficult small objects is proposed.Firstly,a high-resolution featuremap is introduced and a small object prediction layer is added so that the model can detect tiny objects.Secondly,a simplified adaptive spatial feature fusion(SASFF)module is introduced to perform cross-scale spatial fusion to improve adaptability to variable multi-scale features.Finally,we propose an enhanced deformable attention mechanism(EDAM)module.By integrating a gating activation function,the model is further inspired to learn a small number of critical sampling points near reference points.And the module can improve the perception of object morphology.The experimental results indicate that concerning the dataset of flashover and breakage defects,this method improves the performance of YOLOv5,YOLOv7,and YOLOv8.In practical application,it can simply and effectively improve the precision of power line insulator defect detection and reduce missing detection for difficult small objects. 展开更多
关键词 Insulator defect detection small object power line deformable attention mechanism
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Effect of electrodes and thermal insulators on grain refinement by electric current pulse 被引量:6
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作者 尹振兴 梁冬 +2 位作者 陈玉娥 程誉锋 翟启杰 《Transactions of Nonferrous Metals Society of China》 SCIE EI CAS CSCD 2013年第1期92-97,共6页
The application of electric current pulse(ECP) to a solidification process refers to the immersion of electrodes into the liquid metal and the employment of thermal insulators on the upper surface of metal.In order ... The application of electric current pulse(ECP) to a solidification process refers to the immersion of electrodes into the liquid metal and the employment of thermal insulators on the upper surface of metal.In order to ascertain the effects of these two factors on the structure refinement by the ECP technique,three groups of experiments were performed with different types of electrodes or various thermal insulators.By the comparison between solidification structures under different conditions,it is followed that the electrode and the thermal insulator have an obvious influence on the grain refinement under an applied ECP,and further analysis demonstrates that the thermal conditions of the liquid surface play a vital role in the modification of solidification structure.Also,the results support the viewpoint that most of the equiaxed grains originate from the liquid surface subjected to an ECP. 展开更多
关键词 solidification structure grain refinement electric current pulse electrode thermal insulator
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Evolution of Bond-Order-Wave Phase in One-Dimensional Mott Insulators 被引量:3
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作者 HUANG Xiao-Xuan PAN Zheng-Quan +2 位作者 XU Zhao-Xin DAI Jian-Hui YING He-Ping 《Communications in Theoretical Physics》 SCIE CAS CSCD 2006年第5X期923-928,共6页
In this paper, by using the level spectroscopy method and bosonization theory, we discuss the evolution of the bond-order-wave (BOW) phase in a one-dimensional half-filled extended Hubbard model wlth the on-site Cou... In this paper, by using the level spectroscopy method and bosonization theory, we discuss the evolution of the bond-order-wave (BOW) phase in a one-dimensional half-filled extended Hubbard model wlth the on-site Coulomb repulsion U as well as the inter-site Coulomb repulsion V and antiferromagnetic exchange J. After clarifying the generic phase diagrams in three limiting cases with one of the parameters being fixed at zero individually, we find that the BOW phase in the U-V phase diagram is initially enlarged as J increases from zero but is eventually suppressed as J increases further in the strong-coupling regime. A three-dimensional phase diagram is suggested where the BOW phase exists in an extended region separated from the spin-density-wave and charge-density-wave phases. 展开更多
关键词 bond-order-wave phase Mott insulators one-dimensional extended Hubbard model
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Mn-doped topological insulators: a review 被引量:1
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作者 Jing Teng Nan Liu Yongqing Li 《Journal of Semiconductors》 EI CAS CSCD 2019年第8期64-80,共17页
Topological insulators (TIs) host robust edge or surface states protected by time-reversal symmetry (TRS), which makes them prime candidates for applications in spintronic devices. A promising avenue of research for t... Topological insulators (TIs) host robust edge or surface states protected by time-reversal symmetry (TRS), which makes them prime candidates for applications in spintronic devices. A promising avenue of research for the development of functional TI devices has involved doping of three-dimensional (3D) TI thin film and bulk materials with magnetic elements. This approach aims to break the TRS and open a surface band gap near the Dirac point. Utilizing this gapped surface state allows for a wide range of novel physical effects to be observed, paving a way for applications in spintronics and quantum computation. This review focuses on the research of 3D TIs doped with manganese (Mn). We summarize major progress in the study of Mn doped chalcogenide TIs, including Bi2Se3, Bi2Te3, and Bi2(Te,Se)3. The transport properties, in particular the anomalous Hall effect, of the Mn-doped Bi2Se3 are discussed in detail. Finally, we conclude with future prospects and challenges in further studies of Mn doped TIs. 展开更多
关键词 TOPOLOGICAL insulators THIN films electron transport ANOMALOUS HALL effect magnetic DOPING
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Fiber Bragg grating monitors for thermal and stress of the composite insulators in transmission lines 被引量:6
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作者 Heming Deng Wei Cai +3 位作者 You Song Jinsong Liu Christopher Redman Qiandong Zhuang 《Global Energy Interconnection》 2018年第3期382-390,共9页
Running composite insulators are prone to failure due to their harsh surrounding work environment, which directly affects the safe operation of transmission lines. This paper puts forward the method of using fiber Bra... Running composite insulators are prone to failure due to their harsh surrounding work environment, which directly affects the safe operation of transmission lines. This paper puts forward the method of using fiber Bragg grating(FBG) as the monitors to parameters correlated with thermal and stress of the composite insulators in transmission lines at working status. Firstly, monitoring points are found out by the mechanical test on composite insulator samples. Secondly, based on the monitoring theory, this paper introduces the feasibility design frame of the composite insulator with FBG implanted in the rod and the online monitor system. At last, it describes applications of this monitor system in the field of transmission lines. 展开更多
关键词 Thermal monitoring Stress monitoring Composite insulators Transmission lines Fiber Bragg grating monitors
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Edge Detection of Composite Insulators Hydrophobic Image Based on Improved Canny Operator 被引量:1
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作者 Kang Yan Fochi Wang +2 位作者 Zhongyuan Zhang Ningcai Li Fangcheng Lv 《Energy and Power Engineering》 2013年第4期593-596,共4页
The detection of hydrophobicity is an important way to evaluate the performance of composite insulators, which is helpful to the safe operation of composite insulators. Image processing technology is used to judge the... The detection of hydrophobicity is an important way to evaluate the performance of composite insulators, which is helpful to the safe operation of composite insulators. Image processing technology is used to judge the hydrophobicity of composite insulators, which makes detection results more accurate and overcomes the subjective drawbacks of traditional detection methods.?As the traditional Canny operator requires manual intervention in selecting the variance of the Gaussian filter and the threshold, the paper presents a method of edge detection based on improved Canny operator. First, the adaptive median filter replaces the Gaussian filter, which can eliminate the impact from the variance of Gaussian filter and remove noise according to the characteristics of the image itself. Then the Ostu threshold method is used to select the best threshold automatically, which makes the edge detection be more continuous and reduce the presence of fake edges. The results show that the operator is applicable to all hydrophobic images. 展开更多
关键词 Composite insulators HYDROPHOBICITY CANNY Operator Edge Detection Adaptive MEDIAN Filter OSTU Threshold Method
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Application of artificial neural network and information theory to detection of insulators
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作者 李卫东 唐丽艳 +1 位作者 宋家骅 柳焯 《Journal of Harbin Institute of Technology(New Series)》 EI CAS 2000年第3期32-36,共5页
Information theory is used to obtain the information gain for each identification feature, and this gain is used as the weight factor for this feature to stress the role of effective feature, and the ART model based o... Information theory is used to obtain the information gain for each identification feature, and this gain is used as the weight factor for this feature to stress the role of effective feature, and the ART model based on artificial neural network theory is then used for identification thereby forming the detection system for poor insulators. Exper iments and calculations show this approach is correct and feasible. 展开更多
关键词 INFORMATION GAIN artificial NEURAL network ELECTRICAL power system DETECTION of insulators
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Ferromagnetic-insulators-modulated transport properties on the surface of a topological insulator
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作者 郭俊吉 廖文虎 《Chinese Physics B》 SCIE EI CAS CSCD 2014年第6期484-488,共5页
Transport properties on the surface of a topological insulator (TI) under the modulation of a two-dimensional (2D) ferromagnet/ferromagnet junction are investigated by the method of wave function matching. The sin... Transport properties on the surface of a topological insulator (TI) under the modulation of a two-dimensional (2D) ferromagnet/ferromagnet junction are investigated by the method of wave function matching. The single ferromagnetic barrier modulated transmission probability is expected to be a periodic function of the polarization angle and the planar rotation angle, that decreases with the strength of the magnetic proximity exchange increasing. However, the transmission probability for the double ferromagnetic insulators modulated n-n junction and n-p junction is not a periodic function of polarization angle nor planar rotation angle, owing to the combined effects of the double ferromagnetic insulators and the barrier potential. Since the energy gap between the conduction band and the valence band is narrowed and widened respectively in ranges of 0 ≤ 0 〈π/2 and r/2 〈 0 ≤ π, the transmission probability of the n-n junction first increases rapidly and then decreases slowly with the increase of the magnetic proximity exchange strength. While the transmission probability for the n-p junction demonstrates an opposite trend on the strength of the magnetic proximity exchange because the band gaps contrarily vary. The obtained results may lead to the possible realization of a magnetic/electric switch based on TIs and be useful in further understanding the surface states of TIs. 展开更多
关键词 transport properties surface state Dirac electron topological insulator ferromagnetic insulators
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Progress on 2D topological insulators and potential applications in electronic devices
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作者 Yanhui Hou Teng Zhang +3 位作者 Jiatao Sun Liwei Liu Yugui Yao Yeliang Wang 《Chinese Physics B》 SCIE EI CAS CSCD 2020年第9期36-44,共9页
Two-dimensional topological insulators(2DTIs)have attracted increasing attention during the past few years.New 2DTIs with increasing larger spin-orbit coupling(SOC)gaps have been predicted by theoretical calculations ... Two-dimensional topological insulators(2DTIs)have attracted increasing attention during the past few years.New 2DTIs with increasing larger spin-orbit coupling(SOC)gaps have been predicted by theoretical calculations and some of them have been synthesized experimentally.In this review,the 2DTIs,ranging from single element graphene-like materials to bi-elemental transition metal chalcogenides(TMDs)and to multi-elemental materials,with different thicknesses,structures,and phases,have been summarized and discussed.The topological properties(especially the quantum spin Hall effect and Dirac fermion feature)and potential applications have been summarized.This review also points out the challenge and opportunities for future 2DTI study,especially on the device applications based on the topological properties. 展开更多
关键词 two-dimensional materials topological insulators quantum spin Hall effect dissipation-less devices nanoelectronics
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Topological Insulators on the Ruby Lattice with Rashba Spin-Orbit Coupling
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作者 HOU Jing-Min WANG Guo-Xiang 《Communications in Theoretical Physics》 SCIE CAS CSCD 2013年第7期129-135,共7页
We investigate a tight-binding model of the ruby lattice with Rashba spin-orbit coupling. We calculate the band structure of the lattice and evaluate the Z2 topological indices. According to the Z2 topological indices... We investigate a tight-binding model of the ruby lattice with Rashba spin-orbit coupling. We calculate the band structure of the lattice and evaluate the Z2 topological indices. According to the Z2 topological indices and the band structure, we present the phase diagrams of the lattice with different filling fractions. We findthat topological insulators occur in some range of parameters at 1/6, 1/3, 1/2, 2/3 and 5/6 filling fractions. We analyze and discuss the characteristics of these topological insulators and their edge states. 展开更多
关键词 topological insulators ruby lattice rashba spin-coupling
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