2001/10/08 by Shailesh Chandrasekharan, Chandrasekharan, Shailesh
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Lattice (hep-lat) #hep-lat
paper · pdf · doi:10.48550/arxiv.hep-lat/0110018
12 Pages, 4 figures, Contribution to the Proceedings of the "Quantum Monte Carlo" meeting (Trento, Italy, July 3-6, 2001)
arxiv created 2001/10/08 · arxiv updated 2009/11/30
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.