Is the Luttinger liquid a new state of matter?

TL;DR

This paper shows that the Luttinger model with short-range interactions can be viewed as a type of Fermi liquid, with renormalized fermion excitations behaving as free particles, challenging traditional distinctions.

Contribution

It demonstrates that the Luttinger liquid can be treated as a Fermi liquid with renormalized fermions, providing a new perspective on its excitation spectrum.

Findings

Luttinger model with short-range interaction behaves as a Fermi liquid.

Excited states are described by free, renormalized fermions.

Fermions are a mixture of right and left electrons with renormalized charge and chirality.

Abstract

We are demonstrating that the Luttinger model with short range interaction can be treated as a type of Fermi liquid. In line with the main dogma of Landau's theory one can define a fermion excitation renormalized by interaction and show that in terms of these fermions any excited state of the system is described by free particles. The fermions are a mixture of renormalized right and left electrons. The electric charge and chirality of the Landau quasi-particle is discussed.