Novel Quantum Monte Carlo Algorithms for Fermions

Details Novel Quantum Monte Carlo Algorithms for Fermions Novel Quantum Monte Carlo Algorithms for Fermions

2001-10-08

arxiv.org/abs/hep-lat/0110018v1

Physics

High Energy Physics

High Energy Physics - Lattice

12 Pages, 4 figures, Contribution to the Proceedings of the "Quantum Monte Carlo" meeting (Trento, Italy, July 3-6, 2001)

Scientific paper

Recent research shows that the partition function for a class of models involving fermions can be written as a statistical mechanics of clusters with positive definite weights. This new representation of the model allows one to construct novel algorithms. We illustrate this through models consisting of fermions with and without spin. A Hubbard type model with both attractive and repulsive interactions becomes tractable using the new approach. Precision results in the two dimensional attractive model confirm a superfluid phase transition in the Kosterlitz-Thouless universality class.

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