The Hubbard model with smooth boundary conditions

Details The Hubbard model with smooth boundary conditions The Hubbard model with smooth boundary conditions

1996-01-04

arxiv.org/abs/cond-mat/9601009v1

Physics

Condensed Matter

16 pages RevTeX, 9 postscript figures included (Figure 1 will be faxed on request)

Scientific paper

10.1103/PhysRevB.53.14552

We apply recently developed smooth boundary conditions to the quantum Monte Carlo simulation of the two-dimensional Hubbard model. At half-filling, where there is no sign problem, we show that the thermodynamic limit is reached more rapidly with smooth rather than with periodic or open boundary conditions. Away from half-filling, where ordinarily the simulation cannot be carried out at low temperatures due to the existence of the sign problem, we show that smooth boundary conditions allow us to reach significantly lower temperatures. We examine pairing correlation functions away from half-filling in order to determine the possible existence of a superconducting state. On a $10\times 10$ lattice for $U=4$, at a filling of $\langle n \rangle = 0.87$ and an inverse temperature of $\beta=10$, we did find enhancement of the $d$-wave correlations with respect to the non-interacting case, a possible sign of $d$-wave superconductivity.

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