Low-temperature thermodynamics of one class of flat-band models
arXiv:0902.1627 · doi:10.1088/1742-6596/145/1/012059
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 or the chemical potential . We confirm our analytic findings by numerical data for finite lattices.
arXiv comment4 pages including 3 PostScript files; to appear in Journal of Physics: Conference Series (proceedings of HFM2008)
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