Low-temperature properties of the Hubbard model on highly frustrated one-dimensional lattices

Details Low-temperature properties of the Hubbard model on highly frustrated one-dimensional lattices Low-temperature properties of the Hubbard model on highly frustrated one-dimensional lattices

2009-11-18

arxiv.org/abs/0911.3596v1

Phys. Rev. B 81, 014421 (2010)

Physics

Condensed Matter

Strongly Correlated Electrons

20 pages, 12 figures, 2 tables

Scientific paper

10.1103/PhysRevB.81.014421

We consider the repulsive Hubbard model on three highly frustrated one-dimensional lattices -- sawtooth chain and two kagom\'{e} chains -- with completely dispersionless (flat) lowest single-electron bands. We construct the complete manifold of {\em exact many-electron} ground states at low electron fillings and calculate the degeneracy of these states. As a result, we obtain closed-form expressions for low-temperature thermodynamic quantities around a particular value of the chemical potential $\mu_0$. We discuss specific features of thermodynamic quantities of these ground-state ensembles such as residual entropy, an extra low-temperature peak in the specific heat, and the existence of ferromagnetism and paramagnetism. We confirm our analytical results by comparison with exact diagonalization data for finite systems.

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