0 Fe b 20 09 Low - temperature thermodynamics of one class of flat - band models

Abstract

Abstract. We consider the antiferromagnetic Heisenberg model and the repulsive Hubbard model for a class of frustrated lattices with a completely dispersionless (flat) lowest one-particle (either one-magnon or one-electron) band. We construct exact many-particle ground states for a wide range of particle densities, calculate their degeneracy, and, as a result, obtain closed-form expressions for the low-temperature thermodynamic quantities around a particular value of the magnetic field hsat or the chemical potential μ0. We confirm our analytic findings by numerical data for finite lattices.

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Cite this paper

@inproceedings{Derzhko20090FB, title={0 Fe b 20 09 Low - temperature thermodynamics of one class of flat - band models}, author={O . V . Derzhko and Jutta G. Richter and Andreas Honecker}, year={2009} }