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Complete Universal Scaling of First-Order Phase Transitions in the Two-Dimensional Ising Model
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作者 Yuxiang Zhang Fan Zhong 《Chinese Physics Letters》 2025年第9期1-6,共6页
Phase transitions,as one of the most intriguing phenomena in nature,are divided into first-order phase transitions(FOPTs)and continuous ones in current classification.While the latter shows striking phenomena of scali... Phase transitions,as one of the most intriguing phenomena in nature,are divided into first-order phase transitions(FOPTs)and continuous ones in current classification.While the latter shows striking phenomena of scaling and universality,the former has recently also been demonstrated to exhibit scaling and universal behavior within a mesoscopic,coarse-grained Landau-Ginzburg theory.Here we apply this theory to a microscopic model-the paradigmatic Ising model,which undergoes FOPTs between two ordered phases below its critical temperature-and unambiguously demonstrate universal scaling behavior in such FOPTs.These results open the door for extending the theory to other microscopic FOPT systems and experimentally testing them to systematically uncover their scaling and universal behavior. 展开更多
关键词 first order phase transitions scaling universalitythe paradigmatic ising modelwhich two dimensional Ising model coarse grained Landau Ginzburg theory scaling universal behavior phase transitionsas universal scaling
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Arguing on Entropic and Enthalpic First-Order Phase Transitions in Strongly Interacting Matter
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作者 F. Wunderlich R. Yaresko B. Kämpfer 《Journal of Modern Physics》 2016年第8期852-862,共11页
The pattern of isentropes in the vicinity of a first-order phase transition is proposed as a key for a sub-classification. While the confinement-deconfinement transition, conjectured to set in beyond a critical end po... The pattern of isentropes in the vicinity of a first-order phase transition is proposed as a key for a sub-classification. While the confinement-deconfinement transition, conjectured to set in beyond a critical end point in the QCD phase diagram, is often related to an entropic transition and the apparently settled gas-liquid transition in nuclear matter is an enthalphic transition, the conceivable local isentropes w.r.t. “incoming” or “outgoing” serve as another useful guide for discussing possible implications, both in the presumed hydrodynamical expansion stage of heavy-ion collisions and the core-collapse of supernova explosions. Examples, such as the quark-meson model and two-phase models, are shown to distinguish concisely the different transitions. 展开更多
关键词 Entropic and Enthalpic phase transitions Chiral phase transition Isentropes Quark-Meson Model Linear Sigma Model with Linearized Fluctuations
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Nanoreactor-Structured Defective MoS_(2):Suppressing Intercalation-Induced Phase Transitions and Enhancing Reversibility for Potassium-Ion Batteries
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作者 Chunrong Ma Cyrus Koroni +3 位作者 Jiacheng Hu Ji Qian Guangshuai Han Hui Xiong 《Nano-Micro Letters》 2026年第4期771-786,共16页
Conversion-type electrode materials hold significant promise for potassium-ion batteries(PIBs)due to their high theoretical capacities,yet their practical deployment is hindered by sluggish kinetics and irreversible s... Conversion-type electrode materials hold significant promise for potassium-ion batteries(PIBs)due to their high theoretical capacities,yet their practical deployment is hindered by sluggish kinetics and irreversible structural degradation.To overcome these limitations,we propose a rationally engineered nanoreactor architecture that stabilizes defect-rich MoS_(2)via interlayer incorporation of a carbon monolayer,followed by encapsulation within a nitrogen-doped carbon shell,forming a MoSSe@NC heterostructure.This tailored structure synergistically accelerates both K^(+)diffusion kinetics and electron transfer,enabling unprecedented rate performance(107 mAh g^(-1)at 10 Ag^(-1))and ultralong cyclability(86.5%capacity retention after 1200 cycles at 3 A g^(-1)).Mechanistic insights reveal a distinctive“adsorption-conversion”pathway,where sulfur vacancies on exposed S-Mo-S basal planes act as preferential K^(+)adsorption sites,effectively suppressing parasitic phase transitions during intercalation.In situ X-ray diffraction and transmission electron microscopy corroborate the structural reversibility of the conversion reaction,with the carbon matrix dynamically accommodating strain while preserving electrode integrity.This work not only advances the understanding of defect-driven interfacial chemistry in conversion-type materials but also provides a versatile strategy for designing high-performance anodes in next-generation PIBs through heterostructure engineering. 展开更多
关键词 Potassium ion batteries phase transitions Structure reversibility Intercalated heterostructure Defect engineering
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Dislocations in motion:engineering mechanoluminescence via pressure-driven phase transitions
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作者 Zhongxiang Wang Tian Liang 《Science China Materials》 2026年第3期1799-1800,共2页
Mechanoluminescent(ML)materials that emit light under mechanical stress are attracting growing attention for their potential in next-generation sensing,display,and energy-harvesting technologies[1].Among these,Mn/Cu-d... Mechanoluminescent(ML)materials that emit light under mechanical stress are attracting growing attention for their potential in next-generation sensing,display,and energy-harvesting technologies[1].Among these,Mn/Cu-doped zinc sulfide(ZnS)has emerged as a leading candidate due to its bright emission,low activation threshold,and remarkable self-recovery over thousands of cycles[2-5]. 展开更多
关键词 MECHANOLUMINESCENCE ZNS dislocations bright emission zinc sulfide zns Mn Cu doped zinc sulfide emit light mechanical stress pressure driven phase transitions
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Renormalization group theory for temperature-driven first-order phase transitions in scalar models
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作者 Ning Liang Fan Zhong 《Frontiers of physics》 SCIE CSCD 2017年第6期79-96,共18页
We study the scaling and universal behavior of temperature-driven first-order phase transitions in scalar models. These transitions are found to exhibit rich phenomena, though they are controlled by a single complex-c... We study the scaling and universal behavior of temperature-driven first-order phase transitions in scalar models. These transitions are found to exhibit rich phenomena, though they are controlled by a single complex-conjugate pair of imaginary fixed points of φ3 theory. Scaling theories and renormalization group theories are developed to account for the phenomena, and three universality classes with their own hysteresis exponents are found: a field-like thermal class, a partly thermal class, and a purely thermal class, designated, respectively, as Thermal Classes I, II, and III. The first two classes arise from the opposite limits of the scaling forms proposed and may cross over to each other depending on the temperature sweep rate. They are both described by a massless model and a purely massive model, both of which are equivalent and are derived from φ3 theory via symmetry. Thermal Class III characterizes the cooling transitions in the absence of applied external fields and is described by purely thermal models, which include cases in which the order parameters possess different symmetries and thus exhibit different universality classes. For the purely thermal models whose free energies contain odd-symmetry terms, Thermal Class III emerges only at the mean-field level and is identical to Thermal Class II. Fluctuations change the model into the other two models. Using the extant three- and two- loop results for the static and dynamic exponents for the Yang-Lee edge singularity, respectively, which falls into the same universality class as φ3 theory, we estimate the thermal hysteresis exponents of the various classes to the same precision. Comparisons with numerical results and experiments are briefly discussed. 展开更多
关键词 first-order phase transitions thermal phase transitions renormalization group theory φ3theory scaling and universality thermal classes instability exponents finite-time scaling scalar model dynamics thermal hysteresis
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Energy mechanism of the first-order superradiant phase transition in cavity-BEC system with double asymmetric pump beams
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作者 Wei Qin Dong-Chen Zheng +2 位作者 Jia-Ying Lin Yuan-Hong Chen Renyuan Liao 《Chinese Physics B》 2025年第12期155-162,共8页
We consider a Bose-Einstein condensate loaded inside an optical cavity and exposed to two crossed coherent pump fields with same imbalance parameter γ.We identify different effects between pure standing wave fields(... We consider a Bose-Einstein condensate loaded inside an optical cavity and exposed to two crossed coherent pump fields with same imbalance parameter γ.We identify different effects between pure standing wave fields(γ=1)and the pump beams combining standing wave and running wave(γ≠1).In particular,for γ=1,the system only hosts a normal phase and a superradiant phase.In contrast,for γ≠1,the system features three distinctive phases:the normal phase(NP),superradiant phase 1(SR_(1)),and superradiant phase 2(SR_(2)).Importantly,the superradiance is subdivided into different types characterized by the photon phase.Furthermore,we determine perturbatively the phase boundary separating the normal phase and the superradiant phases,and find that there exists a competitive relationship of energy minimum on the overlapping region between SR_(1) and SR_(2).Interestingly,the transition between the normal phase to SR_(1) or SR_(2) is identified to be a second-order phase transition,while the transition between SR_(1) and SR_(2) is a first-order transition.When the first-order phase transition occurs,the phase of the photons changes abruptly from 0 to π/2. 展开更多
关键词 Bose–Einstein condensate superradiant phase transition light–atom hybrid system
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Exploring multiple phases and first-order phase transitions in Kármán Vortex Street
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作者 Xu Li Xing Xiang +2 位作者 Tingting Xue Limin Wang Xiaosong Chen 《Science China(Physics,Mechanics & Astronomy)》 SCIE EI CAS CSCD 2024年第11期47-54,共8页
Kármán Vortex Street, a fascinating phenomenon of fluid dynamics, has intrigued the scientific community for a long time. Many researchers have dedicated their efforts to unraveling the essence of this intri... Kármán Vortex Street, a fascinating phenomenon of fluid dynamics, has intrigued the scientific community for a long time. Many researchers have dedicated their efforts to unraveling the essence of this intriguing flow pattern. Here, we apply the lattice Boltzmann method with curved boundary conditions to simulate flows around a circular cylinder and study the emergence of Kármán Vortex Street using the eigen microstate approach, which can identify phase transition and its order-parameter. At low Reynolds number, there is only one dominant eigen microstate W_(1) of laminar flow. At Re_(c)^(1)= 53.6, there is a phase transition with the emergence of an eigen microstate pair W^(2,3) of pressure and velocity fields. Further at Re_(c)^(2)= 56, there is another phase transition with the emergence of two eigen microstate pairs W^(4,5) and W^(6,7). Using the renormalization group theory of eigen microstate,both phase transitions are determined to be first-order. The two-dimensional energy spectrum of eigen microstate for W^(1), W^(2,3) after Re_(c)^(1), W^(4-7) after Re_(c)^(2) exhibit-5/3 power-law behavior of Kolnogorov's K41 theory. These results reveal the complexity and provide an analysis of the Kármán Vortex Street from the perspective of phase transitions. 展开更多
关键词 Kármán Vortex Street first-order phase transition eigen microstate approach renormalization group theory of eigen microstate
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Volume change and creep behaviors related to stress-phase transition path in methane hydrate-bearing silty sand
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作者 Jiazuo Zhou Qi Fan +1 位作者 Zhenyu Zhu Changfu Wei 《Journal of Rock Mechanics and Geotechnical Engineering》 2026年第2期1526-1540,共15页
The volume change behavior of natural gas hydrate-bearing sediment is essential as it influences settlement,strength,and stiffness,which directly affect the stability of hydrate reservoirs during hydrate extraction or... The volume change behavior of natural gas hydrate-bearing sediment is essential as it influences settlement,strength,and stiffness,which directly affect the stability of hydrate reservoirs during hydrate extraction or in response to environmental changes.The volume change is influenced not only by stress but also by the formation and dissociation of hydrates.This study adopted a customized apparatus for one-dimensional compression tests,allowing independent control of gas pressure and effective stress.Tests were conducted on samples with different hydrate saturations along various temperature-gas pressure-effective stress paths,yielding some conclusions related to compressibility and creep.An unusual phenomenon was observed under low-stress conditions:hydrate formation led to shrinkage rather than expansion.Three potential mechanisms behind this occurrence were discussed.As hydrate saturation increases,the yield stress rises while the compression and swelling indexes remain minimally affected.After hydrate dissociation,the compression curve of hydrate-bearing sediment drops to that of hydrate-free sediment.Once hydrate is formed,the compression curve of hydrate-free sediment gradually approaches that of hydrate-bearing sediment during the subsequent loading.Under low-stress conditions,the creep of both hydrate-free and hydrate-bearing sediments is very weak.However,when stress increases,significantly beyond the yield stress,the creep of both sediments increases significantly,with hydrate-bearing sediment exhibiting much greater creep than hydrate-free sediment. 展开更多
关键词 Hydrate-bearing sediment phase transition Volume change Creep behavior
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W/V Dual-Atom Doping MoS_(2)-Mediated Phase Transition for Efficient Polysulfide Adsorption/Conversion Kinetics in Lithium-Sulfur Battery
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作者 Zhe Cui Ping Feng +2 位作者 Gang Zhong Qingdong Ou Mingkai Liu 《Nano-Micro Letters》 2026年第4期700-717,共18页
The dissolvable polysulfides and sluggish Li_2S conversion kinetics are acknowledged as two significant challenges in the application lithium-sulfur(Li-S)batteries.Herein,we introduce a dual-doping strategy to modulat... The dissolvable polysulfides and sluggish Li_2S conversion kinetics are acknowledged as two significant challenges in the application lithium-sulfur(Li-S)batteries.Herein,we introduce a dual-doping strategy to modulate the electronic structure of MoS_(2),thereby obtaining a multifunctional catalyst that serves as an efficient sulfur host.The W/V dual single-atomdoped MoS_(2)grown on carbon nanofibers(CMWVS)demonstrates a strong adsorption ability for lithium polysulfides,suppressing the shuttle effects.Additionally,the doping process also results in the phase transition from 2H-MoS_(2)to 1T-MoS_(2)and generates sufficient edge sulfur atoms,promoting the charge/electron transfer and enriching the reaction sites.All these merits contribute to the superior conversion reaction kinetics,leading to the outstanding Li-S battery performance.When fabricated as cathodes by compositing with sulfur,the CMWVS/S cathode delivers a high capacity of 1481.7 mAh g^(-1)at 0.1 C(1 C=1672 mAh g^(-1))and maintains 816.3 m Ah g^(-1)after 1000 cycles at 1.0 C,indicating outstanding cycling stability.Even under a high sulfur loading of 7.9 mg cm^(-2)and lean electrolyte conditions(E/S ratio of 9.0μL mg^(-1)),the cathode achieves a high areal capacity of 8.2 m Ah cm^(-2),showing great promise for practical Li-S battery applications.This work broadens the scope of doping strategies in transition-metal dichalcogenides by tailoring their electronic structures,providing insightful direction for the rational development of high-efficiency electrocatalysts for advanced Li-S battery applications. 展开更多
关键词 lithium-sulfur batteries ELECTROCATALYST phase transition Dual single atoms Molybdenum disulfide
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Phase transition of interfacial water at low-dimensions
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作者 Wenlong Liang Yujie Huang +1 位作者 Yue Zhang Chunlei Wang 《Chinese Physics B》 2026年第2期1-13,共13页
Water molecules can form hydrogen bonds.At the solid surfaces,the preferential alignment of water molecules due to the heterogeneous atomic distributions can induce ordered hydrogen bond networks of water molecules wi... Water molecules can form hydrogen bonds.At the solid surfaces,the preferential alignment of water molecules due to the heterogeneous atomic distributions can induce ordered hydrogen bond networks of water molecules with spatially heterogeneous patterns and slower dynamics compared to bulk water.Both the confinement and the surface atomic structures can induce the water phase transitions at low dimensional spaces.Here,we review how the phase transitions of interfacial water affect the surface physical behaviors,such as wetting,ice nucleation and the terahertz-wave-water interactions,from solid materials to the biological surfaces.These works help extend our knowledge of the physics properties of the interfacial water,particularly the multi-phase behaviors in materials and biology sciences. 展开更多
关键词 interfacial water ordered water phase transition hydrophilicity/hydrophobicity THz electric waves
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Corrigendum to“Molecular dynamics study incorporating regression analysis:Quantitative effects of sinusoidal protrusions and wettability on water phase transition containing insoluble gases”
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《Chinese Physics B》 2026年第2期714-715,共2页
In Chin.Phys.B 34114704(2025),Eq.(7)and the associated unit notation were incorrect.The correct ones are present here.Since Eq.(7)is an in-built expression in the simulation package,the correction is purely typographi... In Chin.Phys.B 34114704(2025),Eq.(7)and the associated unit notation were incorrect.The correct ones are present here.Since Eq.(7)is an in-built expression in the simulation package,the correction is purely typographical and does not affect the simulation procedure,numerical results,or the conclusions. 展开更多
关键词 associated unit notation water phase transition WETTABILITY sinusoidal protrusions simulation packagethe insoluble gases simulation procedurenumerical molecular dynamics
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Structural phase transition and quasi-layered active-ion distribution suppress concentration quenching in Tb^(3+)-activated KBi(MoO_(4))_(2)
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作者 Mengyu Zhang Shujing Pan +4 位作者 Haitang Hu Wenzhi Su Yong Zou Shoujun Ding Qingli Zhang 《Chinese Physics B》 2026年第1期295-304,共10页
Conventional Tb^(3+)-doped phosphors typically suffer from concentration quenching once the doping level exceeds a critical threshold.Consequently,the development of Tb^(3+)phosphors with intrinsic resistance to conce... Conventional Tb^(3+)-doped phosphors typically suffer from concentration quenching once the doping level exceeds a critical threshold.Consequently,the development of Tb^(3+)phosphors with intrinsic resistance to concentration quenching has become a key research focus.In this work,we successfully synthesized KBi(MoO_(4))_(2):x Tb^(3+)(x=0-100 at%)(denoted as KBM:x Tb^(3+))phosphors via a high-temperature solid-state reaction.Remarkably,no concentration quenching was observed across the entire doping range.This anti-quenching behavior originates from the large Tb^(3+)-Tb^(3+)interionic distance(>5Å)inherent to the quasi-layered crystal structure,which effectively suppresses multipole-interaction-mediated energy migration.At full Tb^(3+)substitution(x=100 at%),the material undergoes a structural phase transition from the monoclinic KBM phase to the triclinicα-KTb(MoO_(4))_(2)(α-KTM)phase.Theα-KTM phosphor exhibits excellent thermal stability(activation energy=0.6129 eV)and a single-exponential decay profile,whereas KBM:x Tb^(3+)(x<100%)display double-exponential decay behaviors,attributed to dual energy transfer pathways.These findings provide new insights into the luminescence mechanisms of high-concentration rare-earth-doped systems and offer guidance for designing nextgeneration anti-quenching phosphors. 展开更多
关键词 Tb^(3+)doping layered crystal structure anti-concentration quenching structural phase transition
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Characteristics of phase transitions in dry aligning active matter
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作者 Bing Yang Yanting Wang 《Communications in Theoretical Physics》 2025年第6期223-239,共17页
Active matter is a non-equilibrium condensed system consisting of self-propelled particles capable of converting stored or ambient energy into collective motion.Typical active matter systems include cytoskeleton biopo... Active matter is a non-equilibrium condensed system consisting of self-propelled particles capable of converting stored or ambient energy into collective motion.Typical active matter systems include cytoskeleton biopolymers,swimming bacteria,artificial swimmers,and animal herds.In contrast to wet active matter,dry active matter is an active system characterized by the absence of significant hydrodynamic interactions and conserved momentum.In dry active matter,the role of surrounding fluids is providing viscous friction at low Reynolds numbers and can be neglected at high Reynolds numbers.This review offers a comprehensive overview of recent experimental,computational,and theoretical advances in understanding phase transitions and critical phenomena in dry aligning active matter,including polar particles,self-propelled rods,active nematics,and their chiral counterparts.Various ways of determining phase transition points as well as non-equilibrium phenomena,such as collective motion,cluster formation,and creation and annihilation of topological defects are reviewed. 展开更多
关键词 dry aligning active matter continuous phase transitions discontinuous phase transitions topological phase transitions
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High-Pressure Phase Transitions and Mechanisms in Lanthanum Mononitride
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作者 Hao Chen Dan Zhou +1 位作者 Ying Xu Quan Li 《Chinese Physics Letters》 2025年第6期163-169,共7页
A longstanding discrepancy between theoretical predictions and experimental observations on the highpressurestructural transformations of lanthanum mononitride(LaN)has posed challenges for understandingthe behavior of... A longstanding discrepancy between theoretical predictions and experimental observations on the highpressurestructural transformations of lanthanum mononitride(LaN)has posed challenges for understandingthe behavior of heavy transition metal mononitrides.Here,we systematically investigate the structural evolutionof LaN under high pressure using first-principles calculations combined with angle-dispersive synchrotron X-raydiffraction,identifying the phase transition sequence and corresponding phase boundaries.Analyses of energetics,kinetic barriers,and lattice dynamics reveal distinct mechanisms driving these transitions.These results clarifythe structural stability of LaN and offer guidance for studying other heavy transition metal mononitrides withcomplex electronic behavior under extreme conditions. 展开更多
关键词 phase transition sequence understandingthe behavior heavy transition metal mononitridesherewe high pressure phase transitions lanthanum mononitride theoretical predictions lattice dynamics structural stability lanthanum mononitride lan
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Unpacking phase transitions in multi-component drug systems:A case study
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作者 Shifang Song Chenyu Wu +3 位作者 Li Zhang Dezhi Yang Yang Lu Zhengzheng Zhou 《Chinese Chemical Letters》 2025年第7期508-512,共5页
The phase transition among different solid forms of active pharmaceutical ingredients can significantly influence their physicochemical properties,potentially leading to clinical safety risks.However,phase transition ... The phase transition among different solid forms of active pharmaceutical ingredients can significantly influence their physicochemical properties,potentially leading to clinical safety risks.However,phase transition mechanisms remain under explored,especially in multi-component drugs.Here we report a novel ciprofloxacin-diclofenac salt system and investigate phase transitions among its anhydrate,dihydrate,and methanol solvate forms.The study focused on the influence of water activity and solvent vapor conditions,elucidating the role of vip molecules in driving these transitions.These findings offer new insights into polymorphic phase transitions,advancing our understanding of stability and performance in pharmaceutical formulations. 展开更多
关键词 phase transition Water activity Solvent vapor CIPROFLOXACIN DICLOFENAC
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First-Order Quantum Phase Transition for Dicke Model Induced by Atom-Atom Interaction 被引量:2
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作者 赵秀琴 刘妮 梁九卿 《Communications in Theoretical Physics》 SCIE CAS CSCD 2017年第5期511-519,共9页
In this article, we use the spin coherent state transformation and the ground state variational method to theoretically calculate the ground function. In order to consider the influence of the atom-atom interaction on... In this article, we use the spin coherent state transformation and the ground state variational method to theoretically calculate the ground function. In order to consider the influence of the atom-atom interaction on the extended Dicke model's ground state properties, the mean photon number, the scaled atomic population and the average ground energy are displayed. Using the self-consistent field theory to solve the atom-atom interaction, we discover the system undergoes a first-order quantum phase transition from the normal phase to the superradiant phase, but a famous Dicke-type second-order quantum phase transition without the atom-atom interaction. Meanwhile, the atom-atom interaction makes the phase transition point shift to the lower atom-photon collective coupling strength. 展开更多
关键词 first-order quantum phase transition atom-atom interaction spin-coherent-state variational method
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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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Understanding thermal hysteresis of ferroelectric phase transitions in BaTiO_(3) with combined first-principle-based approach and phase-field model
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作者 Cancan Shao Houbing Huang 《Chinese Physics B》 2025年第2期454-461,共8页
Based on the principles of thermodynamics, we elucidate the fundamental reasons behind the hysteresis of spontaneous polarization in ferroelectric materials during heating and cooling processes. By utilizing the effec... Based on the principles of thermodynamics, we elucidate the fundamental reasons behind the hysteresis of spontaneous polarization in ferroelectric materials during heating and cooling processes. By utilizing the effective Hamiltonian method in conjuction with the phase-field model, we have successfully reproduced the thermal hysteresis observed in ferroelectric materials during phase transitions. The computational results regarding the electrocaloric effect from these two different computational scales closely align with experimental measurements. Furthermore, we analyze how the first-order ferroelectric phase transition gradually diminishes with an increasing applied electric field, exhibiting characteristics of second-order-like phase transition. By employing the characteristic parameters of thermal hysteresis, we have established a pathway for calculations across different computational scales, thereby providing theoretical support for further investigations into the properties of ferroelectric materials through concurrent multiscale simulations. 展开更多
关键词 ferroelectric phase transition thermal hysteresis multiscale simulation effective Hamiltonian phase-field model
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Pattern description of quantum phase transitions in the transverse antiferromagnetic Ising model with a longitudinal field
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作者 Yun-Tong Yang Fu-Zhou Chen Hong-Gang Luo 《Chinese Physics B》 2025年第12期470-476,共7页
A uniform longitudinal field applied to the transverse Ising model(TIM)distinguishes the antiferromagnetic Ising interaction from its ferromagnetic counterpart.While the ground state of the latter shows no quantum pha... A uniform longitudinal field applied to the transverse Ising model(TIM)distinguishes the antiferromagnetic Ising interaction from its ferromagnetic counterpart.While the ground state of the latter shows no quantum phase transition(QPT),the ground state of the former exhibits rich phases:paramagnetic,antiferromagnetic,and possibly disordered phases.Although the first two are clearly identified,the existence of the disordered phase remains controversial.Here,we use the pattern picture to explore the competition among the antiferromagnetic Ising interaction J,the transverse field hx and the longitudinal field h_(z),and uncover which patterns are responsible for these three competing energy scales,thereby determining the possible phases and the QPTs among them.The system size ranges from L=8 to 128 and the transverse field hx is fixed at 1.Under these parameters,our results show the existence of the disordered phase.For a small h_(z),the system transitions from a disordered phase to an antiferromagnetic phase as J increases.For a large h_(z),the system undergoes two phase transitions:from paramagnetic to disordered,and then to antiferromagnetic phase.These results not only unveil the rich physics of this paradigmatic model but also stimulate quantum simulation by using currently available experimental platforms. 展开更多
关键词 pattern picture quantum phase transitions antiferromagnetic Ising model
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