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

作     者：Wen-Yuan Liu Shou-Shu Gong Wei-Qiang Chen Zheng-Cheng Gu Wen-Yuan Liu;Shou-Shu Gong;Wei-Qiang Chen;Zheng-Cheng Gu

作者机构：Department of PhysicsThe Chinese University of Hong KongHong KongChina Division of Chemistry and Chemical EngineeringCalifornia Institute of TechnologyPasadena CA 91125USA School of Physical SciencesGreat Bay UniversityDongguan 523000China Great Bay Institute for Advanced StudyDongguan 523000China Department of Physics and Shenzhen Institute for Quantum Science and EngineeringSouthern University of Science and TechnologyShenzhen 518055China Shenzhen Key Laboratory of Advanced Quantum Functional Materials and DevicesSouthern University of Science and TechnologyShenzhen 518055China 

出 版 物：《Science Bulletin》 (科学通报（英文版）)

年 卷 期：2024年第69卷第2期

页      面：190-196页

核心收录：

学科分类：081704[工学-应用化学] 07[理学] 070304[理学-物理化学(含∶化学物理)] 070205[理学-凝聚态物理] 08[工学] 0817[工学-化学工程与技术] 0703[理学-化学] 0702[理学-物理学] 

基　　金：supported by the National Key R&D Program of China(2022YFA1403700) the National Natural Science Foundation of China(NSFC)and the Research Grants Council(RGC)Joint Research Scheme of the Hong Kong Research Grants Council(N-CUHK427/18) the National Natural Science Foundation of China(12141402) supported by the 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.S.S.G.was supported by the National Natural Science Foundation of China(11874078 and 11834014) the Dongguan Key Laboratory of Artificial Intelligence Design for Advanced Materials 

主　　题：Tensor network Quantum phase transition Emergent symmetry Quantum spin liquid Deconfined quantum critical point Anisotropic 

摘      要：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 *** 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)*** large-scale tensor network simulations,we study a spatially anisotropic spin-1/2 square-lattice frustrated antiferromagnetic(AFM)model,namely the J1x-J1y-J2 model,which contains anisotropic nearestneighbor couplings J1x,J1y and the next nearest neighbor coupling *** small J1y/J1x,by tuning J2,a direct continuous transition between the AFM and valence bond solid phase is *** growing J1y/J1x,a gapless QSL phase gradually emerges between the AFM and VBS *** observe an emergent O(4)symmetry along the AFM–VBS transition line,which is consistent with the prediction of DQCP *** surprisingly,we find that such an emergent O(4)symmetry holds for the whole QSL–VBS transition line as *** findings reveal the intrinsic relationship between the QSL and DQCP from categorical symmetry point of view,and strongly constrain the quantum field theory description of the QSL *** phase diagram and critical exponents presented in this paper are of direct relevance to future experiments on frustrated magnets and cold atom systems.