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Please use this identifier to cite or link to this item: http://hdl.handle.net/20.500.12128/8213
Title: The Falicov-Kimball Model in External Magnetic Field : Orbital Effects
Authors: Wróbel, Maciej
Mierzejewski, Marcin
Maśka, Maciej M.
Keywords: właściwości termodynamiczne; metoda Monte Carlo; pole magnetyczne; efekty orbitalne
Issue Date: 2010
Citation: Acta Physica Polonica A, Vol. 118, nr 2 (2010), s. 379-382
Abstract: We study thermodynamic properties of the two-dimensional (2D) Falicov–Kimball model in the presence of external magnetic field perpendicular to the lattice. The field is taken into account by the Peierls substitution in the hopping term. We show how the Hofstadter butterfly is affected by electronic correlations. In the non-interacting case the field dependent energy spectrum forms the famous Hofstadter butterfly. Our results indicate that for arbitrary nonzero interaction strength and arbitrary magnetic field there is a gap in the energy spectrum at sufficiently low temperature. The gap vanishes with increase of temperature for weak coupling, however, it persists at high temperatures if the coupling is strong enough. Numerical results have been obtained with the help of Monte Carlo technique based on a modified Metropolis algorithm.
URI: http://hdl.handle.net/20.500.12128/8213
ISSN: 0587-4246
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