Non-Abelian chiral spin liquid in the frustrated spin-1 quantum antiferromagnet on the square lattice

ORAL

Abstract

We investigate the ground state properties of the spin-1 antiferromagnetic Heisenberg J1-J2 model supplemented by time-reversal symmetry breaking chiral interaction on the square lattice using density-matrix renormalization group. Based on studies of numerous long cylinders with circumferences of up to 10 lattice spacings, we obtain strong evidence for a novel quantum spin liquid state in the ground state phase diagram. Remarkably, we find that this spin liquid is consistent with the non-Abelian Moore-Read chiral spin liquid, which is evidenced by both entanglement spectra and related flux threading experiments. Our results provide a concrete example of realizing the non-Abelian spin liquid in a general higher spin system, which is beyond previous attempts in spin-1/2 systems.

*This material is based upon work supported by the U.S. Department of Energy, Office of Science, Advanced Scientific Computing Research and Basic Energy Sciences, Materials Sciences and Engineering Division, Scientific Discovery through Advanced Computing (SciDAC) program under the grant number DE-AC02-76SF00515 (YH, HCJ, DNS).

–

Presenters

  • Yixuan Huang

    • Physics and Astronomy, California State University, Northridge

Authors

  • Yixuan Huang

    • Physics and Astronomy, California State University, Northridge

  • Wei Zhu

    • Westlake University
    • Westlake University, Westlake Institute for Advanced Study
    • Los Alamos National Laboratory

  • Hong-Chen Jiang

    • SLAC and Stanford Univ
    • SLAC - Natl Accelerator Lab
    • Stanford Institute for Materials and Energy Sciences, SLAC National Accelerator Laboratory
    • Stanford Institute for Materials and Energy Sciences, SLAC National Accelerator Laboratory and Stanford University

  • Donna Sheng

    • Physics and Astronomy, California State University, Northridge
    • California State University Northridge