Generalized effective-potential Landau theory for the two-dimensional extended Bose-Hubbard model

TL;DR

This paper introduces a generalized effective-potential Landau theory to analytically study quantum phase diagrams of ultracold dipolar Bose gases in a 2D optical lattice, achieving high accuracy in phase transition predictions.

Contribution

The paper develops a generalized effective-potential Landau theory that improves analytical predictions of phase boundaries in the extended Bose-Hubbard model, aligning well with quantum Monte Carlo results.

Findings

Analytical phase boundaries agree with QMC simulations.

Improved accuracy over previous strong-coupling expansion.

Effective for weak nearest-neighbor repulsion.

Abstract

We analytically study the quantum phase diagrams of ultracold dipolar Bose gases in an optical square lattice at zero temperature by using the generalized effective-potential Landau theory (GEPLT). For a weak nearest-neighbor repulsion, our analytical results are better than the third-order strong-coupling expansion theory calculation [M. Iskin et al., \textcolor[rgb]{0.00,0.00,1.00}{ Phys. Rev. A \textbf{79}, 053634 (2009)}]. In contrast to a previous quantum Monte Carlo (QMC) simulation [T. Ohgoe et al., \textcolor[rgb]{0.00,0.00,1.00}{Phys. Rev. B \textbf{86}, 054520 (2012)}], we analytically calculate phase transition boundaries up to the third-order hopping, which are in excellent agreement with QMC simulations for second-order phase transition.