Bosonic description of a Tomonaga-Luttinger model with impurities

TL;DR

This paper extends Coleman's equivalence to include impurities in the Tomonaga-Luttinger model, enabling analysis of how impurity interactions affect charge-density oscillations in one-dimensional strongly correlated systems.

Contribution

It introduces a non-local Coleman's equivalence framework incorporating impurities, advancing the theoretical understanding of impurity effects in Tomonaga-Luttinger liquids.

Findings

Impurities influence charge-density oscillations in the model.

The extended framework allows for studying interaction range effects.

Results can be applied to real one-dimensional materials.

Abstract

We extend a recently proposed non-local version of Coleman's equivalence between the Thirring and sine-Gordon models to the case in which the original fermion fields interact with fixed impurities. We explain how our results can be used in the context of one-dimensional strongly correlated systems (the so called Tomonaga-Luttinger model) to study the dependence of the charge-density oscillations on the range of the fermionic interactions.