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Spin-charge transformation of lattice fermion models: duality approach for diagrammatic simulation of strongly correlated systems
Stockholm University, Faculty of Science, Department of Physics. University of Massachusetts, United States of America.
Number of Authors: 1
2017 (English)In: Journal of Physics: Condensed Matter, ISSN 0953-8984, E-ISSN 1361-648X, Vol. 29, no 38, 385602Article in journal (Refereed) Published
Abstract [en]

I derive a dual description of lattice fermions, specifically focusing on the t-J and Hubbard models, that allow diagrammatic techniques to be employed efficiently in the strongly correlated regime, as well as for systems with a restricted Hilbert space. These constructions are based on spin-charge transformation, where the lattice fermions of the original model are mapped onto spins and spin-less fermions. This mapping can then be combined with Popov-Fedotov fermionisation, where the spins are mapped onto lattice fermions with imaginary chemical potential. The resulting models do not contain any large expansion parameters, even for strongly correlated systems. Also, they exhibit dramatically smaller corrections to the density matrix from nonlinear terms in the Hamiltonian. The combination of these two properties means that they can be addressed with diagrammatic methods, including simulation techniques based on stochastic sampling of diagrammatic expansions.

Place, publisher, year, edition, pages
2017. Vol. 29, no 38, 385602
Keyword [en]
hubbard model, t-J model, diagrammatic Monte Carlo, fermionisation, dual fermions
National Category
Physical Sciences
Identifiers
URN: urn:nbn:se:su:diva-146958DOI: 10.1088/1361-648X/aa7e1bISI: 000408144000002PubMedID: 28682299OAI: oai:DiVA.org:su-146958DiVA: diva2:1142419
Available from: 2017-09-19 Created: 2017-09-19 Last updated: 2017-09-19Bibliographically approved

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