Supersolid phases in the one dimensional extended soft core Bosonic Hubbard model

TL;DR

This paper uses Quantum Monte Carlo simulations to explore supersolid phases in the one-dimensional extended soft core Bosonic Hubbard model, revealing unique phase transitions and excitation spectrum features.

Contribution

It demonstrates the existence of supersolid phases in 1D and analyzes the nature of phase transitions, including a Kosterlitz-Thouless transition, expanding understanding beyond 2D systems.

Findings

Insulator-supersolid transition has z=2 in 1D and 2D

First order insulator-superfluid transition in 2D becomes continuous in 1D

Presence of two quasi long-range orders causes soliton-like dips in excitation spectrum

Abstract

We present results of Quantum Monte Carlo simulations for the soft core extended bosonic Hubbard model in one dimension exhibiting the presence of supersolid phases similar to those recently found in two dimensions. We find that in one and two dimensions, the insulator-supersolid transition has dynamic critical exponent z=2 whereas the first order insulator-superfluid transition in two dimensions is replaced by a continuous transition with z=1 in one dimension. We present evidence that this transition is in the Kosterlitz-Thouless universality class and discuss the mechanism behind this difference. The simultaneous presence of two types of quasi long range order results in two soliton-like dips in the excitation spectrum.