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.

–

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