Partition Functions of Strongly Correlated Electron Systems as "Fermionants"
Publication
, Journal Article
Chandrasekharan, S; Wiese, U-J
August 11, 2011
We introduce a new mathematical object, the "fermionant" ${\mathrm{Ferm}}_N(G)$, of type $N$ of an $n \times n$ 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.
Duke Scholars
Publication Date
August 11, 2011
Citation
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Chandrasekharan, S., & Wiese, U.-J. (2011). Partition Functions of Strongly Correlated Electron Systems as
"Fermionants".
Chandrasekharan, Shailesh, and Uwe-Jens Wiese. “Partition Functions of Strongly Correlated Electron Systems as
"Fermionants",” August 11, 2011.
Chandrasekharan S, Wiese U-J. Partition Functions of Strongly Correlated Electron Systems as
"Fermionants". 2011 Aug 11;
Chandrasekharan, Shailesh, and Uwe-Jens Wiese. Partition Functions of Strongly Correlated Electron Systems as
"Fermionants". Aug. 2011.
Chandrasekharan S, Wiese U-J. Partition Functions of Strongly Correlated Electron Systems as
"Fermionants". 2011 Aug 11;
Publication Date
August 11, 2011