Signatures of polaronic charge ordering in optical and dc conductivity using dynamical mean field theory

TL;DR

This paper uses dynamical mean field theory to analyze how charge ordering affects optical and dc conductivity in a model with electron-lattice and electrostatic interactions, revealing different spectral behaviors across coupling regimes.

Contribution

It provides a detailed theoretical analysis of charge ordering signatures in conductivity, including approximate formulas for different electron-lattice coupling strengths.

Findings

Weak coupling: spectral weight transfer due to gap opening.

Strong coupling: optical absorption enhancement without spectral weight transfer.

Intermediate coupling: coexistence of spectral transfer and enhancement mechanisms.

Abstract

We apply dynamical mean field theory to study a prototypical model that describes charge ordering in the presence of both electron-lattice interactions and intersite electrostatic repulsion between electrons. We calculate the optical and d.c. conductivity, and derive approximate formulas valid in the limiting electron-lattice coupling regimes. In the weak coupling regime, we recover the usual behavior of charge density waves, characterized by a transfer of spectral weight due to the opening of a gap in the excitation spectrum. In the opposite limit of very strong electron-lattice coupling, instead, the charge ordering transition is signaled by a global enhancement of the optical absorption, with no appreciable spectral weight transfer. Such behavior is related to the progressive suppression of thermally activated charge defects taking place below the critical temperature. At intermediate values of the coupling within the polaronic regime, a complex behavior is obtained where both mechanisms of transfer and enhancement of spectral weight coexist.