Gross-Neveu-Wilson model and correlated symmetry-protected topological phases
Abstract
We show that a Wilson-type discretization of the Gross-Neveu model, a fermionic N-flavor quantum field theory displaying asymptotic freedom and chiral symmetry breaking, can serve as a playground to explore correlated symmetry-protected phases of matter using techniques borrowed from high-energy physics. A large- N study, both in the Hamiltonian and Euclidean formalisms, yields a phase diagram with trivial, topological, and symmetry-broken phases separated by critical lines that meet at a tri-critical point. We benchmark these predictions using tools from condensed matter and quantum information science, which show that the large-N method captures the essence of the phase diagram even at N = 1. Moreover, we describe a cold-atom scheme for the quantum simulation of this lattice model, which would allow to explore the single-flavor phase diagram.
Keywords
Cite
@article{arxiv.1807.03202,
title = {Gross-Neveu-Wilson model and correlated symmetry-protected topological phases},
author = {A. Bermudez and E. Tirrito and M. Rizzi and M. Lewenstein and S. Hands},
journal= {arXiv preprint arXiv:1807.03202},
year = {2018}
}