Systematic study of d-wave superconductivity in the 2D repulsive Hubbard model

TL;DR

This study systematically investigates d-wave superconductivity in the 2D Hubbard model, revealing size-independent results on large clusters that show a finite temperature transition, advancing understanding of high-temperature superconductivity.

Contribution

It provides a comprehensive analysis of cluster size effects on d-wave superconductivity using advanced simulation methods, clarifying the conditions for superconducting instability.

Findings

Large clusters show size-independent d-wave superconductivity results.

Finite temperature instability to d-wave superconductivity confirmed.

Small clusters exhibit significant size and geometry effects.

Abstract

The cluster size dependence of superconductivity in the conventional two-dimensional Hubbard model, commonly believed to describe high-temperature superconductors, is systematically studied using the Dynamical Cluster Approximation and Quantum Monte Carlo simulations as cluster solver. Due to the non-locality of the d-wave superconducting order parameter, the results on small clusters show large size and geometry effects. In large enough clusters, the results are independent of the cluster size and display a finite temperature instability to d-wave superconductivity.