Sound Propagation in Nematic Fermi Liquid

TL;DR

This paper investigates how sound waves propagate in a nematic Fermi liquid, revealing significant anisotropic damping due to Fermi surface fluctuations and discussing implications for doped Mott insulators.

Contribution

It provides a theoretical analysis of sound propagation in nematic Fermi liquids, highlighting the impact of Fermi surface distortions on collective modes and damping behaviors.

Findings

Sound waves experience strong, anisotropic damping in the nematic state.

Fermi surface fluctuations lead to unique collective modes.

Relevance to doped Mott insulators is discussed.

Abstract

We study the longitudinal sound propagation in the electronic nematic Fermi liquid where the Fermi surface is distorted due to the spontaneously broken rotational symmetry. The behavior of the sound wave in the nematic ordered state is dramatically different from that in the isotropic Fermi liquid. The collective modes associated with the fluctuations of the Fermi surface distortion in the nematic Fermi liquid leads to the strong and anisotropic damping of the sound wave. The relevance of the nematic Fermi liquid in doped Mott insulator is discussed.