On the Fermi Liquid to Polaron Crossover I: General Results

TL;DR

This paper investigates the transition from Fermi liquid to polaron behavior in electron-phonon systems using analytical methods and dynamical mean field theory.

Contribution

It provides a comprehensive analysis of the Fermi liquid to polaron crossover with new insights into the underlying mechanisms.

Findings

Identified key parameters governing the crossover

Characterized the nature of quasiparticles in different regimes

Provided analytical and numerical results on electron-phonon interactions

Abstract

We use analytic techniques and the dynamical mean field method to study the crossover from fermi liquid to polaron behavior in models of electrons interacting with dispersionless classical phonons.