Spin Liquid Phases for Spin-1 systems on the Triangular lattice

ORAL

Abstract

Motivated by recent experiments on material Ba$_3$NiSb$_2$O$_9$, we propose two novel spin liquid phases (A and B) for spin-1 systems on a triangular lattice. At the mean field level, both spin liquid phases have gapless fermionic spinon excitations with quadratic band touching, thus in both phases the spin susceptibility and C$_v$/T saturate to a constant at zero temperature, which are consistent with the experimental results on Ba3NiSb2O9. On the lattice scale, these spin liquid phases have Sp(4) $\sim$ SO(5) gauge fluctuation; while in the long wavelength limit this Sp(4) gauge symmetry is broken down to U(1)xZ$_2$ in type A spin liquid phase, and broken down to Z$_4$ in type B phase. We also demonstrate that the $A$ phase is the parent state of the ferro-quadrupole state, nematic state, and the noncollinear spin density wave state.

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Authors

  • Cenke Xu

    • University of California Santa Barbara

  • Fa Wang

    • Massachusetts Institute of Technology
    • Department of Physics, MIT

  • Yang Qi

    • Institute for Advanced Study, Tsinghua University
    • Tsinghua University

  • 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

  • Matthew P.A. Fisher

    • University of California, Santa Barbara
    • University of California Santa Barbara
    • Department of Physics, University of California, Santa Barbara, California 93106
    • UCSB