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