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Quantum Monte Carlo and the Hubbard model

D. J. Scalapino

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Abstract

Here we discuss quantum Monte Carlo and the Hubbard model. We note that while there is a fermion sign problem for the doped Hubbard model, Monte Carlo calculations have shown that the leading pairfield susceptibility has d-wave symmetry and that the pairing interaction is mediated by S = 1 particle-hole fluctuations.

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Here we discuss quantum Monte Carlo and the Hubbard model. We note that while there is a fermion sign problem for the doped Hubbard model, Monte Carlo calculations have shown that the leading pairfield susceptibility has d-wave symmetry and that the pairing interaction is mediated by S = 1 particle-hole fluctuations.

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Available abstract

Here we discuss quantum Monte Carlo and the Hubbard model. We note that while there is a fermion sign problem for the doped Hubbard model, Monte Carlo calculations have shown that the leading pairfield susceptibility has d-wave symmetry and that the pairing interaction is mediated by S = 1 particle-hole fluctuations.

Key concepts: Hubbard model, Quantum Monte Carlo, Monte Carlo method, Physics, Fermion, Statistical physics, Pairing, Monte Carlo molecular modeling

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