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Numerical study of the two-dimensional Hubbard model Export

Physical Review B, Vol. 40, No. 1. (1 July 1989), 506.

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algorithm hubbard

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We report on a numerical study of the two-dimensional Hubbard model and describe two new algorithms for the simulation of many-electron systems. These algorithms allow one to carry out simulations within the grand canonical ensemble at significantly lower temperatures than had previously been obtained and to calculate ground-state properties with fixed numbers of electrons. We present results for the two-dimensional Hubbard model with half- and quarter-filled bands. Our results support the existence of long-range antiferromagnetic order in the ground state at half-filling and its absence at quarter-filling. Results for the magnetic susceptibility and the momentum occupation along with an upper bound to the spin-wave spectrum are given. We find evidence for an attractive effective d -wave pairing interaction near half-filling but have not found evidence for a phase transition to a superconducting state.


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