Spin Liquid Ground State of Spin-1/2 Square J$_{1}$-J$_{2}$ Heisenberg Model

ORAL

Abstract

We perform highly accurate density matrix renormalization group (DMRG) simulations to investigate the ground state properties of the spin-1/2 antiferromagnetic (AFM) square lattice Heisenberg J$_{1}$-J$_{2}$ model on numerous long cylinders with circumference up to 10 lattice spacings. Besides finding the conventional Neel AFM phase at small J$_{2}$/J$_{1}<$0.41 and the stripe AFM phase at large J$_{2}$/J$_{1}>$0.62, we establish an intriguing gapped quantum spin liquid phase within the parameter space 0.41$<$ J$_{2}$/J$_{1}<$0.62 by showing the absence of various conventional broken symmetries as well as by identifying topological features such as finite topological entanglement entropy and topological ``even-odd'' effect.

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Authors

  • Hong-Chen Jiang

    • Kavli Institute for Theoretical Physics, University of California, Santa Barbara, CA 93106

  • Hong Yao

    • Stanford University
    • Stanford University and Tsinghua University
    • Department of Physics, Stanford University, Stanford, CA 94305

  • Leon Balents

    • Kavli Institute for Theoretical Physics, University of California, Santa Barbara, CA 93106
    • Kavli Institute for Theoretical Physics, University of California, Santa Barbara
    • Kavli Institute for Theoretical Physics, University of California Santa Barbara
    • Physics, UCSB
    • Kavli Institute for Theoretical Physics, UCSB