Abstract
We consider the repulsive Hubbard model on three highly frustrated one-dimensional lattices—sawtooth chain and two kagomé chains—with completely dispersionless (flat) lowest single-electron bands. We construct the complete manifold of 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 . 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.
5 More- Received 18 November 2009
DOI:https://doi.org/10.1103/PhysRevB.81.014421
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