Incommensurate phases of a bosonic two-leg ladder under a flux

TL;DR

This paper investigates the phase transitions and incommensurate phases of a bosonic two-leg ladder under a synthetic magnetic flux using bosonization and DMRG, revealing a second incommensuration near specific flux values.

Contribution

It introduces the discovery of a second incommensuration in the vortex phase of a bosonic ladder under flux, analyzed through advanced numerical and analytical methods.

Findings

Identification of a second incommensuration near flux $ ho \pi$

Impact of incommensuration on momentum distribution and correlations

Observation of phase transition from Meissner to vortex phase

Abstract

A boson two--leg ladder in the presence of a synthetic magnetic flux is investigated by means of bosonization techniques and Density Matrix Renormalization Group (DMRG). We follow the quantum phase transition from the commensurate Meissner to the incommensurate vortex phase with increasing flux at different fillings. When the applied flux is $\rho \pi$ and close to it, where $\rho$ is the filling per rung, we find a second incommensuration in the vortex state that affects physical observables such as the momentum distribution, the rung-rung correlation function and the spin-spin and charge-charge static structure factors.