Chiral spin liquid from magnetic Wannier states

TL;DR

This paper introduces a mapping from a 2D bosonic system in a magnetic field to a lattice model without the field, revealing fractionalized liquids and Bose metal states at certain fillings.

Contribution

It develops a novel mapping using magnetic Wannier states, enabling analysis of fractional quantum Hall-like states on a lattice without magnetic fields.

Findings

Ground states are gapped fractionalized liquids or gapless Bose metals.

States exhibit broken time reversal symmetry at specific fillings.

Mapping facilitates studying quantum Hall physics on lattices.

Abstract

We present a mapping of a two-dimensional system of interacting bosons in a strong perpendicular magnetic field to an equivalent system of interacting bosons on the square lattice in the absence of the field. The mapping utilizes a magnetic Bloch and the corresponding magnetic Wannier single-particle basis in the lowest Landau level. By construction, the ground states of the resulting model of interacting bosons on the square lattice are gapped fractionalized liquids or gapless Bose metal states with broken time reversal symmetry at specific rational filling fractions.