Non-Fermi Liquids from Kinetic Constraints in Tilted Optical Lattices

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 several 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.

Automated summary

We study Fermi-Hubbard models with kinetically constrained dynamics in strongly tilted optical lattices, where interacting fermions are placed. Through analytics and numerics, we demonstrate how the kinetic constraints stabilize an exotic non-Fermi liquid phase described by fermions coupled to a gapless bosonic field that behaves like a dynamical gauge field in several aspects. This provides a novel approach to studying non-Fermi liquid phases in precision environments offered by ultracold atom platforms.