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From Popov-Fedotov trick to universal fermionization

By Nikolay Prokof'ev and Boris Svistunov

Abstract

We show that Popov-Fedotov trick of mapping spin-1/2 lattice systems on two-component fermions with imaginary chemical potential readily generalizes to bosons with a fixed (but not limited) maximal site occupation number, as well as to fermionic Hamiltonians with various constraints on the site Fock states. In a general case, the mapping---fermionization---is on multi-component fermions with many-body non-Hermitian interactions. Additionally, the fermionization approach allows one to convert large many-body couplings into single-particle energies, rendering the diagrammatic series free of large expansion parameters; the latter is essential for the efficiency and convergence of the diagrammatic Monte Carlo method.Comment: 4 pages, no figures (v2 contains some improvements; the most important one is the generic complex chemical potential trick for spins/bosons

Topics: Condensed Matter - Strongly Correlated Electrons, High Energy Physics - Lattice
Year: 2011
DOI identifier: 10.1103/PhysRevB.84.073102
OAI identifier: oai:arXiv.org:1103.3730
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