Mott transition in one-dimensional boson-fermion mixtures

TL;DR

This paper numerically studies Mott and mixing-demixing transitions in one-dimensional boson-fermion mixtures, revealing phase diagrams and the conditions under which Mott insulator phases emerge.

Contribution

It provides the first detailed numerical phase diagrams for Mott and mixing-demixing transitions in 1D boson-fermion mixtures at commensurate filling.

Findings

Mott insulator phases appear with increased interactions.

Mixing-demixing transition occurs similarly at commensurate and incommensurate fillings.

Phase diagrams map the transition boundaries in interaction space.

Abstract

We numerically investigated Mott transitions and mixing-demixing transitions in one-dimensional boson-fermion mixtures at a commensurate filling. The mixing-demixing transition occurred in a qualitatively similar manner to the incommensurate filling case. We also found the Mott insulator phase appeared in both the mixing and the demixing states as the fermion-boson interaction or the boson-boson interaction increased. Phase diagrams were obtained in the interaction parameter space.