Integer quantum Hall effect for bosons: A physical realization

TL;DR

This paper presents a physical realization of an integer quantum Hall state for interacting two-dimensional bosons, exemplifying a symmetry-protected topological phase with universal properties aligning with theoretical classifications.

Contribution

It introduces a simple physical system that realizes a bosonic integer quantum Hall state, expanding the understanding of SPT phases in interacting bosonic systems.

Findings

Universal physical properties match SPT phase classifications

Provides a concrete realization of bosonic IQH state

Connects topological insulators concepts to bosonic systems

Abstract

A simple physical realization of an integer quantum Hall state of interacting two dimensional bosons is provided. This is an example of a "symmetry-protected topological" (SPT) phase which is a generalization of the concept of topological insulators to systems of interacting bosons or fermions. Universal physical properties of the boson integer quantum Hall state are described and shown to correspond to those expected from general classifications of SPT phases.