Gapless quantum spin liquid and global phase diagram of the spin-1/2 J1-J2 square antiferromagnetic Heisenberg model

Liu，Wen Yuan1; Gong，Shou Shu2; Li，Yu Bin1; Poilblanc，Didier3; Chen，Wei Qiang4,5,6; Gu，Zheng Cheng1

2022

10.1016/j.scib.2022.03.010

Science Bulletin   影响因子和分区

2095-9273

2095-9281

The nature of the zero-temperature phase diagram of the spin-1/2 J-J 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 theory. By 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-J 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 behavior. There also exists a valence-bond solid (VBS) phase in a very narrow region 0.56≲J/J≤0.61 before the system enters the well known collinear antiferromagnetic phase. We 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 DMRG. Our numerical evidences explicitly demonstrate the huge power of PEPS for highly frustrated spin systems. Finally, 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).

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

SCI ; EI

英语

其他

National Natural Science Foundation of China (NSFC)/RGC Joint Research Scheme[N-CUHK427/18] ; ANR/RGC Joint Research Scheme from the Hong Kong's Research Grants Council[A-CUHK402/18] ; French Research Council["TNSTRONG ANR-16-CE30-0025","TNTOP ANR-18-CE30-0026-01"] ; NSFC["11861161001","11874078","11834014"] ; 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]

Science & Technology - Other Topics

Multidisciplinary Sciences

WOS:000835290000015

ELSEVIER

20221511958450

Antiferromagnetic materials ; Antiferromagnetism ; Lattice theory ; Liquids ; Phase diagrams ; Quantum entanglement ; Statistical mechanics

Magnetism: Basic Concepts and Phenomena:701.2 ; Magnetic Materials:708.4 ; Algebra:921.1 ; Mathematical Statistics:922.2 ; Mechanics:931.1 ; Quantum Theory; Quantum Mechanics:931.4

2-s2.0-85127900614

Scopus

1.Department of Physics,The Chinese University of Hong Kong,Hong Kong
2.Department of Physics,Beihang University,Beijing,100191,China
3.Laboratoire de Physique Théorique,C.N.R.S. and Université de Toulouse,Toulouse,31062,France
4.Shenzhen Key Laboratory of Advanced Quantum Functional Materials and Devices,Southern University of Science and Technology,Shenzhen,518055,China
5.Department of Physics and Institute for Quantum Science and Engineering,Southern University of Science and Technology,Shenzhen,518055,China
6.International Quantum Academy,and Shenzhen Branch,Hefei National Laboratory,Futian District, Shenzhen,518040,China

Liu，Wen Yuan,Gong，Shou Shu,Li，Yu Bin,et al. Gapless quantum spin liquid and global phase diagram of the spin-1/2 J1-J2 square antiferromagnetic Heisenberg model[J]. Science Bulletin,2022,67(10):1034-1041.

Liu，Wen Yuan,Gong，Shou Shu,Li，Yu Bin,Poilblanc，Didier,Chen，Wei Qiang,&Gu，Zheng Cheng.(2022).Gapless quantum spin liquid and global phase diagram of the spin-1/2 J1-J2 square antiferromagnetic Heisenberg model.Science Bulletin,67(10),1034-1041.

Liu，Wen Yuan,et al."Gapless quantum spin liquid and global phase diagram of the spin-1/2 J1-J2 square antiferromagnetic Heisenberg model".Science Bulletin 67.10(2022):1034-1041.