Luttinger Theorem in One Dimensional Metals

TL;DR

This paper demonstrates that Luttinger's theorem remains valid for one-dimensional metals described by Luttinger liquid theory, with implications for understanding high-temperature superconductors.

Contribution

It shows that Luttinger's theorem applies to the Tomonaga-Luttinger model with minimal modifications, linking non-Fermi liquid behavior to Fermi surface properties.

Findings

Luttinger's theorem holds for 1D Luttinger liquids

Implications for high-temperature superconductor theories

Supports the Fermi surface concept in non-Fermi liquids

Abstract

One dimensional metals are described by Luttinger liquid theory. Recent experiments have addressed the relation between this non-Fermi liquid behavior and the existence of a Fermi surface. We show that Luttinger's theorem, with few modifications, holds for the one-dimensional Tomonaga-Luttinger model. The implications for the high temperature superconductors are discussed.