Phase Diagram of the 2D Fermionic Ring Exchange Only Model

ORAL

Abstract

There has been significant interest in understanding non-Fermi liquid phases. Recently, DMRG studies on 2-leg ladders have suggested the presence of such a phase (the $d$-wave metal) in the $t-J-K$ model on a 2D square lattice, where $K$ is a nearest neighbor ring exchange term. The fermion sign problem generically prevents Monte Carlo studies of this model on larger systems. However, in the $t=J=0$ limit, the Hamiltonian becomes sign free. Using Green's function Monte Carlo, we investigate the phase diagram of this ring-exchange only fermionic model as a function of density. In this talk, we report our findings.

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Authors

  • Katharine Hyatt

    • Univ of California - Santa Barbara

  • Bryan K. Clark

    • Kavli Institute of Theoretical Physics, University of California at Santa Barbara; Physics Department, University of Illinois at Urbana Champaign.

  • Matthew P.A. Fisher

    • Kavli Institute of Theoretical Physics, University of California at Santa Barbara