Role of Collective Mode for Optical Conductivity and Reflectivity in Quarter-Filled Spin-Density-Wave State

TL;DR

This paper investigates how collective charge fluctuations influence optical properties in a quarter-filled spin-density-wave state, revealing peaks in conductivity, effects of charge ordering, and increased reflectivity due to collective modes.

Contribution

It introduces a detailed analysis of the collective mode’s impact on optical conductivity and reflectivity within an extended Hubbard model at quarter filling.

Findings

Optical conductivity shows peaks at collective mode excitation energies.

Charge ordering suppresses the collective mode’s main peak and increases its effective mass.

Reflectivity is significantly enhanced over a broad frequency range due to the collective mode.

Abstract

Taking account of a collective mode relevant to charge fluctuation, the optical conductivity of spin-density-wave state has been examined for an extended Hubbard model with one-dimensional quarter-filled band. We find that, within the random phase approximation, the conductivity exhibits several peaks at the frequency corresponding to the excitation energy of the commensurate collective mode. When charge ordering appears with increasing inter-site repulsive interactions, the main peak with the lowest frequency is reduced and the effective mass of the mode is enhanced indicating the suppression of the effect of the collective mode by charge ordering. It is also shown that the reflectivity becomes large in a wide range of frequency due to the huge dielectric constant induced by the collective mode.