Bosonic description of a Tomonaga-Luttinger model with impurities

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.

8 pages, latex, no figures. Minor correction in eq. (6). Version to appear in PLB

References in corpus (1)

• Equivalent bosonic theory for the massive Thirring model with non-local interaction

Cited by in corpus (5)

• Electron transport in disordered Luttinger liquid
• Functional Integral Bosonization for Impurity in Luttinger Liquid
• Quantum interference and spin-charge separation in a disordered Luttinger liquid
• Friedel oscillations in a Luttinger liquid with long-range interactions
• Weak localization and magnetoresistance in a two-leg ladder model