AUTHOR=Gaur Deepak , Sable Hrushikesh , Angom D. 

TITLE=Fractional quantum Hall effect in optical lattices

JOURNAL=Frontiers in Physics

VOLUME=Volume 10 - 2022

YEAR=2023

URL=https://www.frontiersin.org/journals/physics/articles/10.3389/fphy.2022.1106491

DOI=10.3389/fphy.2022.1106491

ISSN=2296-424X

ABSTRACT=We study the bosonic fractional quantum Hall (FQH) states in a system of
ultra-cold bosons in a two-dimensional optical lattice in the presence of
a synthetic magnetic field, described by the bosonic Harper-Hofstadter
Hamiltonian.
We obtain incompressible states as ground states at various filling factors
similar to those of the FQH states. We focus in particular on the $\nu = 1/2$
FQH state, and characterize it with the two-point correlation function and
many-body Chern number.
We further investigate the effect of dipolar interaction on the $\nu = 1/2$
FQH state. We find that dipolar interaction stabilizes the FQH state
against the competing superfluid state. We use the cluster Gutzwiller
mean-field and exact diagonalization techniques in our work.