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Journal of Low Temperature Physics

Quantum Monte Carlo Simulations of the Kosterlitz-Thouless Transition for Two-Dimensional Disordered Bose-Hubbard Model

Hiroto Kuroyanagi, M. Tsukamoto, Makoto Tsubota

Published Oct 18, 2010• 1 citation
Publisher
DOI
10.1007/s10909-010-0251-y

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Susceptibilities in the static limit ω→0 are evaluated to show that the superconducting Kosterlitz–Thouless transition exists in the two-dimensional Hubbard model for optimal band parameters. By using quantum Monte Carlo methods, we have examined the size dependence of the spin susceptibility χ( Q ) at half filling and the pair susceptibilities with d - and s -wave symmetries for the repulsive and attractive interactions, respectively. The numerical results for systems of up to 14×14 sites show that the s -wave pair susceptibility scales as χ pair ∼ L 2 for the attractive case, in agreement with previous quantum Monte Carlo studies. The scaling χ pair ∼ L 2 also holds for the d -wave pair susceptibility for the repulsive Hubbard model if we adjust the band parameter t '. Therefore, it is likely that the superconducting Kosterlitz–Thouless transition exists in the two-dimensional repulsive Hubbard model.