Superconducting Fluctuations in a Multi-Band 1D Hubbard Model

TL;DR

This paper uses renormalization-group and bosonization techniques to analyze a multi-band 1D Hubbard model, showing that under certain conditions, superconducting fluctuations become dominant despite repulsive interactions.

Contribution

It introduces a novel analysis of multi-band 1D Hubbard models demonstrating the emergence of superconducting fluctuations from repulsive interactions.

Findings

Superconducting fluctuations dominate in the multi-band 1D Hubbard model.

The model scales to a regime with dominant superconducting correlations.

Analysis is based on the limit of many bands and specific scaling conditions.

Abstract

A renormalization-group and bosonization approach for a multi-band Hubbard Hamiltonian in one dimension is described. Based on the limit of many bands, it is argued that this Hamiltonian with bare repulsive electron-electron interactions is scaled under specific conditions to a model in which superconducting fluctuations dominate.