Critical temperature for the two-dimensional attractive Hubbard Model

Details Critical temperature for the two-dimensional attractive Hubbard Model Critical temperature for the two-dimensional attractive Hubbard Model

2004-03-16

arxiv.org/abs/cond-mat/0403397v1

Physical Review B 69, 184501 (2004)

Physics

Condensed Matter

Strongly Correlated Electrons

5 pages, 6 figures. Accepted for publication in Phys. Rev. B

Scientific paper

10.1103/PhysRevB.69.184501

The critical temperature for the attractive Hubbard model on a square lattice is determined from the analysis of two independent quantities, the helicity modulus, $\rho_s$, and the pairing correlation function, $P_s$. These quantities have been calculated through Quantum Monte Carlo simulations for lattices up to $18\times 18$, and for several densities, in the intermediate-coupling regime. Imposing the universal-jump condition for an accurately calculated $\rho_s$, together with thorough finite-size scaling analyses (in the spirit of the phenomenological renormalization group) of $P_s$, suggests that $T_c$ is considerably higher than hitherto assumed.

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