Tomonaga-Luttinger liquid-Bose glass phase transition in a system of 1D disordered fermions with pair hoppings

TL;DR

This paper investigates how pair hoppings influence the phase transition between Tomonaga-Luttinger liquid and Bose glass in disordered 1D fermionic systems, revealing that pair hoppings can sustain the liquid phase against disorder.

Contribution

It demonstrates that large pair hopping amplitudes can preserve the Tomonaga-Luttinger liquid phase in the presence of weak disorder, extending understanding of phase stability in disordered 1D systems.

Findings

Large pair hoppings support the TLL phase under weak disorder.

Strong disorder induces a transition to the Bose glass phase.

The results confirm the Giamarchi-Schulz scenario in this context.

Abstract

We consider a one-dimensional system of spinless fermions with single particle and pair hoppings in a potential on-site disorder. The pair hopping term violates integrability of the model and enhances superconducting fluctuations in the bulk of the liquid. By means of the Abelian bosonization and extensive numerical DMRG calculations we provide evidence that sufficiently large pair hopping amplitude guarantees the survival of the Tomonaga-Luttinger liquid phase at weak disorder. Large disorder drives the system to the Bose glass phase, realising the Giamarchi-Schulz scenario in such a system.