2011/08/11 by Shailesh Chandrasekharan, Chandrasekharan, Shailesh, Uwe-Jens Wiese +1
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Lattice (hep-lat) #Strongly Correlated Electrons (cond-mat.str-el) #cond-mat.str-el #hep-lat
paper · pdf · doi:10.48550/arxiv.1108.2461
4 pages, no figures
arxiv created 2011/08/11 · arxiv updated 2011/08/12
We introduce a new mathematical object, the "fermionant" FermN(G), of type N of an n × n matrix G. It represents certain n-point functions involving N species of free fermions. When N=1, the fermionant reduces to the determinant. The partition function of the repulsive Hubbard model, of geometrically frustrated quantum antiferromagnets, and of Kondo lattice models can be expressed as fermionants of type N=2, which naturally incorporates infinite on-site repulsion. A computation of the fermionant in polynomial time would solve many interesting fermion sign problems.