Emergent topological ordered phase for the Ising-XY model revealed by cluster-updating Monte Carlo method

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外文摘要：The two-component cold atom systems with anisotropic hopping amplitudes can be phenomenologically described by a two-dimensional Ising-XY coupled model with spatial anisotropy.At low temperatures,theoretical predictions[Phys.Rev.A 72 053604(2005)]and[arXiv:0706.1609]indicate the existence of a topological ordered phase characterized by Ising and XY disorder but with 2XY ordering.However,due to ergodic difficulties faced by Monte Carlo methods at low temperatures,this topological phase has not been numerically explored.We propose a linear cluster updating Monte Carlo method,which flips spins without rejection in the anisotropy limit but does not change the energy.Using this scheme and conventional Monte Carlo methods,we succeed in revealing the nature of topological phases with half-vortices and domain walls.In the constructed global phase diagram,Ising and XY-type transitions are very close to each other and differ significantly from the schematic phase diagram reported earlier.We also propose and explore a wide range of quantities,including magnetism,superfluidity,specific heat,susceptibility,and even percolation susceptibility,and obtain consistent and reliable results.Furthermore,we observed first-order transitions characterized by common intersection points in magnetizations for different system sizes,as opposed to the conventional phase transition where Binder cumulants of various sizes share common intersections.The critical exponents of different types of phase transitions are reasonably fitted.The results are useful to help cold atom experiments explore the half-vortex topological phase.

外文关键词：

topological phase transitionIsing-XY modelMonte Carlo methodhalf vortex

作者：

马赫阳、张万舟、田彦婷、丁成祥、邓友金

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作者单位：

College of Physics,Taiyuan University of Technology,Taiyuan 030024,China

Hefei National Laboratory for Physical Sciences at the Microscale and Department of Modern Physics,University of Science and Technology of China,Hefei 230026,China

School of Microelectronics & Data Science,Anhui University of Technology,Maanshan 243002,China

Minjiang Collaborative Center for Theoretical Physics,College of Physics and Electronic Information Engineering,Minjiang University,Fuzhou 350108,China

Shanghai Research Center for Quantum Sciences,Shanghai 201315,China

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基金：

Hefei National Research Center for Physical sciences at the Microscale山西省自然科学基金山西省自然科学基金国家自然科学基金国家自然科学基金国家自然科学基金Anhui Provincial Supporting Program for Excellent Young Talents in Colleges and Universities国家重点研发计划

项目编号：

KF2021002202303021221029202103021224051119750241204750312275263gxyqZD20190232018YFA0306501

出版年：

2024

DOI：

10.1088/1674-1056/ad1d4d

中国物理B(英文版)

中国物理学会和中国科学院物理研究所

中国物理B(英文版)

CSTPCDEI

影响因子：0.995

ISSN：1674-1056

年,卷(期)：2024.33(4)

参考文献量51