Article

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

03/2005; DOI:doi:10.1103/PhysRevB.74.174502
Source: arXiv

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. Comment: RevTeX 6 pages

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### Keywords

attractive Hubbard model

auxiliary field quantum Monte Carlo method

superconducting Kosterlitz-Thouless transition

system sizes

transition temperature