The Falicov-Kimball Model in External Magnetic Field: Orbital Effects

• Authors: M. Wróbel , M. Mierzejewski , M. Maśka
• Languages of publication: EN

Abstracts

EN

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.

• Publisher: Institute of Physics, Polish Academy of Sciences
• Journal: Acta Physica Polonica A
• Year: 2010
• Volume: 118
• Issue: 2
• Pages: 379-382

Dates

published

2010-08

Contributors

author

M. Wróbel

• Department of Theoretical Physics, Institute of Physics, University of Silesia, Uniwersytecka 4, 40-007 Katowice, Poland

author

M. Mierzejewski

• Department of Theoretical Physics, Institute of Physics, University of Silesia, Uniwersytecka 4, 40-007 Katowice, Poland

author

M. Maśka

• Department of Theoretical Physics, Institute of Physics, University of Silesia, Uniwersytecka 4, 40-007 Katowice, Poland

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Identifiers

DOI

10.12693/APhysPolA.118.379