Fermi edge restoration in the Tomonaga-Luttinger model with impurities

TL;DR

This paper investigates how magnetic impurities affect the low-energy excitations in the Tomonaga-Luttinger model, showing that impurity scattering can restore Fermi liquid behavior through a novel field-theoretical approach.

Contribution

It introduces a new field-theoretical method for analyzing impurity effects in the Tomonaga-Luttinger model and demonstrates Fermi liquid restoration due to impurity scattering.

Findings

Collective mode dispersion relations derived from the effective action.

Momentum distribution shows Fermi liquid behavior restored.

Impurity scattering enables transition from non-Fermi liquid to Fermi liquid state.

Abstract

We study the Tomonaga-Luttinger model in the presence of magnetic (Kondo-like) impurities. By using a recently proposed field-theoretical approach to non-local bosonization we obtain the effective action describing the low-energy charge and spin density fluctuations. From this action the dispersion relations of the collective modes are readily found. We also compute the momentum distribution and show that the electron-impurity scattering allows to have restoration of the Fermi liquid behavior.