Gapless quantum spin liquid and global phase diagram of the spin-1/2 J_(1)-J_(2) square antiferromagnetic Heisenberg model

作     者：Wen-Yuan Liu Shou-Shu Gong Yu-Bin Li Didier Poilblanc Wei-Qiang Chen Zheng-Cheng Gu 刘文渊;龚寿书;李毓彬;Didier Poilblanc;陈伟强;顾正澄

作者机构：Department of PhysicsThe Chinese University of Hong KongHong KongChina Department of PhysicsBeihang UniversityBeijing 100191China Laboratoire de Physique ThéoriqueC.N.R.S.and Universitéde ToulouseToulouse 31062France Shenzhen Key Laboratory of Advanced Quantum Functional Materials and DevicesSouthern University of Science and TechnologyShenzhen 518055China Department of Physics and Institute for Quantum Science and EngineeringSouthern University of Science and TechnologyShenzhen 518055China International Quantum Academyand Shenzhen BranchHefei National LaboratoryShenzhen 518040China 

出 版 物：《Science Bulletin》 (科学通报（英文版）)

年 卷 期：2022年第67卷第10期

页      面：1034-1041,M0004页

核心收录：

学科分类：08[工学] 080502[工学-材料学] 0805[工学-材料科学与工程（可授工学、理学学位）] 

基　　金：supported by the National Natural Science Foundation of China(NSFC)/RGC Joint Research Scheme No.N-CUHK427/18 the ANR/RGC Joint Research Scheme No.A-CUHK402/18 from the Hong Kong’s Research Grants Council the TNSTRONG ANR-16-CE30-0025,TNTOP ANR-18CE30-0026-01 grants awarded from the French Research Council supported by the NSFC(11874078 and 11834014) the Fundamental Research Funds for the Central Universities supported by the NSFC(11861161001) the Science,Technology and Innovation Commission of Shenzhen Municipality(ZDSYS20190902092905285) Guangdong Basic and Applied Basic Research Foundation(2020B1515120100) Shenzhen-Hong Kong Cooperation Zone for Technology and Innovation(HZQB-KCZYB-2020050) Center for Computational Science and Engineering at Southern University of Science and Technology 

主　　题：Quantum spin liquid Tensor network state Frustrated magnets Deconfined quantum critical point 

摘      要：The nature of the zero-temperature phase diagram of the spin-1/2 J_(1)-J_(2)Heisenberg model on a square lattice has been debated in the past three decades,and it remains one of the fundamental problems unsettled in the study of quantum many-body *** using the state-of-the-art tensor network method,specifically,the finite projected entangled pair state(PEPS)algorithm,to simulate the global phase diagram of the J_(1)-J_(2)Heisenberg model up to 24×24 sites,we provide very solid evidences to show that the nature of the intermediate nonmagnetic phase is a gapless quantum spin liquid(QSL),whose spin-spin and dimer-dimer correlations both decay with a power law *** also exists a valence-bond solid(VBS)phase in a very narrow region 0.56■J_(2)/J_(1)≤0.61 before the system enters the well known collinear antiferromagnetic *** stress that we make the first detailed comparison between the results of PEPS and the well-established density matrix renormalization group(DMRG)method through one-to-one direct benchmark for small system sizes,and thus give rise to a very solid PEPS calculation beyond *** numerical evidences explicitly demonstrate the huge power of PEPS for highly frustrated spin ***,an effective field theory is also proposed to understand the physical nature of the discovered gapless QSL and its relation to deconfined quantum critical point(DQCP).