Non-Fermi liquids from kinetic constraints in tilted optical lattices

TL;DR

This paper demonstrates how kinetically constrained Fermi-Hubbard models in tilted optical lattices can stabilize a non-Fermi liquid phase, providing a new platform for exploring exotic quantum states.

Contribution

It introduces a novel non-Fermi liquid phase arising from kinetic constraints in tilted optical lattices, combining analytics and numerics to reveal its properties.

Findings

Stabilization of a non-Fermi liquid phase

Fermions coupled to a gapless bosonic field

Potential for experimental realization in ultracold atoms

Abstract

We study Fermi-Hubbard models with kinetically constrained dynamics that conserves both total particle number and total center of mass, a situation that arises when interacting fermions are placed in strongly tilted optical lattices. Through a combination of analytics and numerics, we show how the kinetic constraints stabilize an exotic non-Fermi liquid phase described by fermions coupled to a gapless bosonic field, which in many respects mimics a dynamical gauge field. This offers a novel route towards the study of non-Fermi liquid phases in the precision environments afforded by ultracold atom platforms.