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

Wen-Yuan Liu ¹Shou-Shu Gong ²Wei-Qiang Chen ³Zheng-Cheng Gu⁴

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作者信息

1. 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
2. School of Physical Sciences,Great Bay University,Dongguan 523000,China;Great Bay Institute for Advanced Study,Dongguan 523000,China
3. 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
4. Department of Physics,The Chinese University of Hong Kong,Hong Kong,China
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Abstract

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.

Key words

Tensor network/Quantum phase transition/Emergent symmetry/Quantum spin liquid/Deconfined quantum critical point/Anisotropic

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基金项目

National Key R&D Program of China(2022YFA1403700)

National Natural Science Foundation of China(NSFC)()

Research Grants Council(RGC)Joint Research Scheme of the Hong Kong Research Grants Council(N-CUHK427/18)

National Natural Science Foundation of China(12141402)

Science,Technology and Innovation Commission of Shenzhen Municipality(ZDSYS20190902092905285)

Guangdong Basic and Applied Basic Research Foundation(2020B1515120100)

Center for Computational Science and Engineering at Southern University of Science and Technology()

National Natural Science Foundation of China(11874078)

National Natural Science Foundation of China(11834014)

Dongguan Key Laboratory of Artificial Intelligence Design for Advanced Materials()

U.S.Department of Energy,Office of Science,National Quantum Information Science Research Centers,Quantum Systems Accelerator()

出版年

2024

科学通报(英文版)

中国科学院

科学通报(英文版)

CSTPCD

ISSN：1001-6538

参考文献量53

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