The Prediction of a Gapless Topological ``Haldane Liquid" Phase in a One-Dimensional Cold Polar Molecular Lattice

ORAL

Abstract

We show that ultracold two-component fermionic dipolar gases in an optical lattice with strong two-body on-site loss can be used to realize a tunable effective spin-one model. Fermion number conservation provides an unusual constraint that $\sum_i \left(S^z_i\right)^2$ is conserved, leading to a novel topological liquid phase in one dimension which can be thought of as the gapless analog of the Haldane gapped phase of a spin- one Heisenberg chain. The properties of this phase are calculated numerically via the infinite time-evolving block decimation method and analytically via a mapping to a one-mode Luttinger liquid with hidden spin information.

*Work supported by AFOSR-MURI, DARPA-QUEST, ARO-DARPA-OLE, and CNAM.

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Authors

  • Jason Kestner

    • Condensed Matter Theory Center, Department of Physics, University of Maryland, College Park, MD

  • Bin Wang

    • Condensed Matter Theory Center, Department of Physics, University of Maryland, College Park, MD

  • Jay Sau

    • Condensed Matter Theory Center, Department of Physics, University of Maryland, College Park, MD

  • Sankar Das Sarma

    • Condensed Matter Theory Center, Department of Physics, University of Maryland, College Park, MD