Ferromagnetic spin-orbital liquid of dipolar fermions in zigzag lattices

TL;DR

This paper explores a novel ferromagnetic spin-orbital liquid phase in dipolar fermions within zigzag lattices, revealing unique magnetic properties and boundary phase transitions not found in traditional solid-state systems.

Contribution

It introduces a new spin-liquid phase accessible via dipolar fermions in optical lattices, characterized by finite magnetization and broken SU(2) symmetry, with boundary phase transition insights.

Findings

Identification of a ferromagnetic spin-liquid phase with broken SU(2) symmetry.

Demonstration of boundary phase transitions with non-local entanglement.

Description of the spin liquid as a Luttinger liquid of bound spin wave and orbital domain wall states.

Abstract

Two-component dipolar fermions in zigzag optical lattices allow for the engineering of spin-orbital models. We show that dipolar lattice fermions permit the exploration of a regime typically unavailable in solid-state compounds that is characterized by a novel spin-liquid phase with a finite magnetization and spontaneously broken SU(2) symmetry. This peculiar spin liquid may be understood as a Luttinger liquid of composite particles consisting of bound states of spin waves and orbital domain walls moving in an unsaturated ferromagnetic background. In addition, we show that the system exhibits a boundary phase transitions involving non-local entanglement of edge spins.