Deconfined Fractionally Charged Excitation in Any Dimensions

TL;DR

This paper constructs an exact incompressible quantum liquid on a square lattice supporting deconfined fractionally charged excitations, generalizable to any dimension with charge scaling as /m^D.

Contribution

It introduces a new exactly solvable model demonstrating deconfined fractional charges in arbitrary dimensions.

Findings

Supports deconfined fractional charge /m^2 at filling factor 1/m^2

Generalizes to D dimensions with charge /m^D

Provides a framework for fractional excitations in higher-dimensional lattices

Abstract

An exact incompressible quantum liquid is constructed at the filling factor $1/m^2$ in square lattice. It supports deconfined fractionally charged excitation. At the filling factor $1/m^2$, the excitation has fractional charge $\pm e/m^2$, where $e$ is the electric charge. This model can be easily generalized to the integer lattice in any $D$ dimensions, where the charge of excitations becomes $\pm e/m^D$.