A quantum Monte Carlo study on the superconducting Kosterlitz-Thouless transition of the attractive Hubbard model on a triangular lattice

TL;DR

This study uses quantum Monte Carlo simulations to analyze the superconducting Kosterlitz-Thouless transition in the attractive Hubbard model on a triangular lattice, revealing how transition temperatures vary with electron filling.

Contribution

It provides new numerical insights into the transition temperature behavior of the attractive Hubbard model on a triangular lattice using advanced Monte Carlo methods.

Findings

Transition temperature remains nearly constant for 1.0 < n < 1.4

Transition temperature is significantly lower for n < 1

Study covers system sizes up to 12x12 sites

Abstract

We study the superconducting Kosterlitz-Thouless transition of the attractive Hubbard model on a two-dimensional triangular lattice using auxiliary field quantum Monte Carlo method for system sizes up to $12\times 12$ sites. Combining three methods to analyze the numerical data, we find, for the attractive interaction of $U=-4t$, that the transition temperature stays almost constant within the band filling range of $1.0 < n < 1.4$, while it is found to be much lower in the $n<1$ region.