Conformal Field Theory on the Fermi Surface

TL;DR

This paper models the Fermi surface as a set of 1+1D chiral conformal field theories, enabling calculation of ground state properties and revealing universal entanglement features in Fermi liquids.

Contribution

It introduces a conformal field theory framework for Fermi surfaces, allowing new insights into their entanglement and fluctuation properties, including effects of temperature and interactions.

Findings

Fermi surface can be described as 1+1D chiral CFTs

Calculates entanglement entropy and number fluctuations

Shows universality of entanglement structure in Fermi liquids

Abstract

The Fermi surface may be usefully viewed as a collection of 1+1 dimensional chiral conformal field theories. This approach permits straightforward calculation of many anomalous ground state properties of the Fermi gas including entanglement entropy and number fluctuations. The 1+1 dimensional picture also generalizes to finite temperature and the presence of interactions. Finally, I argue that the low energy entanglement structure of Fermi liquid theory is universal, depending only on the geometry of the interacting Fermi surface.