Low-temperature thermodynamics of one class of flat-band models

Details Low-temperature thermodynamics of one class of flat-band models Low-temperature thermodynamics of one class of flat-band models

2009-02-10

arxiv.org/abs/0902.1627v1

J. Phys.: Conf. Ser. 145 (2009) 012059

Physics

Condensed Matter

Strongly Correlated Electrons

4 pages including 3 PostScript files; to appear in Journal of Physics: Conference Series (proceedings of HFM2008)

Scientific paper

10.1088/1742-6596/145/1/012059

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 $h_{\rm{sat}}$ or the chemical potential $\mu_0$. We confirm our analytic findings by numerical data for finite lattices.

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