Anomalous resistivity and the electron-polaron effect in the two-band Hubbard model with one narrow band

TL;DR

This paper investigates anomalous resistivity and superconductivity in a two-band Hubbard model with a narrow band, highlighting the roles of electron-polaron and Altshuler-Aronov effects on effective mass and scattering, with findings of resistivity anomalies and p-wave pairing mechanisms.

Contribution

It introduces analysis of anomalous resistivity and superconductivity in a two-band Hubbard model, emphasizing the impact of electron-polaron and Altshuler-Aronov effects, and identifies p-wave pairing driven by Kohn-Luttinger effect.

Findings

Resistivity shows anomalies at high temperatures in 2D and 3D.

Superconductivity is driven by p-wave pairing via polarization effects.

Effective mass enhancement and scattering times are influenced by electron-polaron effects.

Abstract

We search for anomalous normal and superconductive behavior in the two-band Hubbard model with one narrow band. We analyze the influence of electron-polaron effect and Altshuler-Aronov effect on effective mass enhancement and scattering times of heavy and light components in the clean case. We find anomalous behavior of resistivity at high temperatures $T>W_{h}^{*}$ both in 3D and 2D situation. The SC instability in the model is governed by enhanced Kohn-Luttinger effect for p-wave pairing of heavy electrons via polarization of light electrons.