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Composite fermion-boson mapping for fermionic lattice models

AuthorsZhao, J.; Jiménez-Hoyos, Carlos A.; Scuseria, Gustavo E.; Huerga, Daniel ; Dukelsky, Jorge ; Rombouts, Stefan M.A.; Ortiz, Gerardo
Issue Date2014
PublisherInstitute of Physics Publishing
CitationJournal of physics. Condensed matter : an Institute of Physics journal 26: 455601 (2014)
Abstract© 2014 IOP Publishing Ltd. We present a mapping of elementary fermion operators onto a quadratic form of composite fermionic and bosonic cluster operators. The mapping is an exact isomorphism as long as the physical constraint of one composite particle per cluster is satisfied. This condition is treated on average in a composite particle mean-field approach, which consists of an ansatz that decouples the composite fermionic and bosonic sectors. The theory is tested on the 1D and 2D Hubbard models. Using a Bogoliubov determinant for the composite fermions and either a coherent or Bogoliubov state for the bosons, we obtain a simple and accurate procedure for treating the Mott insulating phase of the Hubbard model with mean-field computational cost.
Identifiersdoi: 10.1088/0953-8984/26/45/455601
issn: 1361-648X
Appears in Collections:(CFMAC-IEM) Artículos
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