Superconductivity in striped and multi-Fermi-surface Hubbard models: From the cuprates to the pnictides

TL;DR

This paper reviews recent quantum Monte Carlo simulations of Hubbard models, elucidating the mechanisms of superconductivity in cuprates and pnictides, especially focusing on stripe effects and multi-Fermi-surface interactions.

Contribution

It provides new insights into how charge stripes and multi-band effects influence superconductivity in Hubbard models, using unbiased quantum Monte Carlo methods.

Findings

Charge stripes impact superconducting correlations.

Multi-Fermi-surface models reveal different pairing mechanisms.

Simulations clarify the role of correlations in high-Tc superconductors.

Abstract

Single- and multi-band Hubbard models have been found to describe many of the complex phenomena that are observed in the cuprate and iron-based high-temperature superconductors. Simulations of these models therefore provide an ideal framework to study and understand the superconducting properties of these systems and the mechanisms responsible for them. Here we review recent dynamic cluster quantum Monte Carlo simulations of these models, which provide an unbiased view of the leading correlations in the system. In particular, we discuss what these simulations tell us about superconductivity in the homogeneous 2D single-orbital Hubbard model, and how charge stripes affect this behavior. We then describe recent simulations of a bilayer Hubbard model, which provides a simple model to study the type and nature of pairing in systems with multiple Fermi surfaces such as the iron-based superconductors.