Absence of superconductivity in the half-filled band Hubbard model on the anisotropic triangular lattice

TL;DR

This study uses exact calculations to investigate magnetic and superconducting properties of the half-filled Hubbard model on an anisotropic triangular lattice, finding no evidence of superconductivity driven by frustration.

Contribution

It provides definitive numerical evidence that the half-filled Hubbard model on this lattice does not exhibit superconductivity at any interaction strength.

Findings

Magnetic phases align with previous studies.

Superconducting correlations decrease with increasing interaction.

No frustration-induced superconductivity observed.

Abstract

We report exact calculations of magnetic and superconducting pair-pair correlations for the half-filled band Hubbard model on an anisotropic triangular lattice. Our results for the magnetic phases are similar to those obtained with other techniques. The superconducting pair-pair correlations at distances beyond nearest neighbor decrease monotonically with increasing Hubbard interaction U for all anisotropy, indicating the absence of frustration-driven superconductivity within the model.