首页|Emergent symmetry in quantum phase transition:From deconfined quantum critical point to gapless quantum spin liquid

Emergent symmetry in quantum phase transition:From deconfined quantum critical point to gapless quantum spin liquid

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The emergence of exotic quantum phenomena in frustrated magnets is rapidly driving the development of quantum many-body physics,raising fundamental questions on the nature of quantum phase transi-tions.Here we unveil the behaviour of emergent symmetry involving two extraordinarily representative phenomena,i.e.,the deconfined quantum critical point(DQCP)and the quantum spin liquid(QSL)state.Via large-scale tensor network simulations,we study a spatially anisotropic spin-1/2 square-lattice frus-trated antiferromagnetic(AFM)model,namely the J1x-J1y-J2 model,which contains anisotropic nearest-neighbor couplings J1x,J1y and the next nearest neighbor coupling J2.For small J1y/J1x,by tuning J2,a direct continuous transition between the AFM and valence bond solid phase is observed.With growing J1y/J1x,a gapless QSL phase gradually emerges between the AFM and VBS phases.We observe an emer-gent O(4)symmetry along the AFM-VBS transition line,which is consistent with the prediction of DQCP theory.Most surprisingly,we find that such an emergent O(4)symmetry holds for the whole QSL-VBS transition line as well.These findings reveal the intrinsic relationship between the QSL and DQCP from categorical symmetry point of view,and strongly constrain the quantum field theory descrip-tion of the QSL phase.The phase diagram and critical exponents presented in this paper are of direct rel-evance to future experiments on frustrated magnets and cold atom systems.

Tensor networkQuantum phase transitionEmergent symmetryQuantum spin liquidDeconfined quantum critical pointAnisotropic

Wen-Yuan Liu、Shou-Shu Gong、Wei-Qiang Chen、Zheng-Cheng Gu

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Department of Physics,The Chinese University of Hong Kong,Hong Kong,China

Division of Chemistry and Chemical Engineering,California Institute of Technology,Pasadena CA 91125,USA

School of Physical Sciences,Great Bay University,Dongguan 523000,China

Great Bay Institute for Advanced Study,Dongguan 523000,China

Department of Physics and Shenzhen Institute for Quantum Science and Engineering,Southern University of Science and Technology,Shenzhen 518055,China

Shenzhen Key Laboratory of Advanced Quantum Functional Materials and Devices,Southern University of Science and Technology,Shenzhen 518055,China

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National Key R&D Program of ChinaNational Natural Science Foundation of China(NSFC)Research Grants Council(RGC)Joint Research Scheme of the Hong Kong Research Grants CouncilNational Natural Science Foundation of ChinaScience,Technology and Innovation Commission of Shenzhen MunicipalityGuangdong Basic and Applied Basic Research FoundationCenter for Computational Science and Engineering at Southern University of Science and TechnologyNational Natural Science Foundation of ChinaNational Natural Science Foundation of ChinaDongguan Key Laboratory of Artificial Intelligence Design for Advanced MaterialsU.S.Department of Energy,Office of Science,National Quantum Information Science Research Centers,Quantum Systems Accelerator

2022YFA1403700N-CUHK427/1812141402ZDSYS201909020929052852020B15151201001187407811834014

2024

科学通报(英文版)
中国科学院

科学通报(英文版)

CSTPCD
ISSN:1001-6538
年,卷(期):2024.69(2)
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