Optical conductivity of one-dimensional doped Hubbard-Mott insulator

TL;DR

This paper investigates the optical properties of a one-dimensional doped Hubbard-Mott insulator near the metal-insulator transition, using a sine-Gordon model to analyze spectral features and absorption characteristics.

Contribution

It introduces a semiclassical approach to compute optical response functions, including Drude weight and breather absorption lines, in a strongly correlated electron system.

Findings

Spectral weight splits between Drude peak and breather lines

Calculated optical gap and lineshape of breather absorption

Provided insights into optical response near metal-insulator transition

Abstract

We study the optical response of a strongly correlated electron system near the metal-insulator transition using a mapping to the sine-Gordon model. With semiclassical quantization, the spectral weight is distributed between a Drude peak and absorption lines due to breathers. We calculate the Drude weight, the optical gap, and the lineshape of breather absorption.