Physics – Condensed Matter – Strongly Correlated Electrons
Scientific paper
2005-11-04
Condensed Matter Physics 8 (2005) 813-824
Physics
Condensed Matter
Strongly Correlated Electrons
10 pages including 5 figues; to appear in Condensed Matter Physics; proceedings of the conference "Statistical Physics 2005: M
Scientific paper
Spinless fermions on highly frustrated lattices are characterized by a lowest single-particle band which is completely flat. Concrete realizations are provided by the sawtooth chain and the kagome lattice. For these models a real-space picture is given in terms of localized states. Furthermore, we find a finite zero-temperature entropy for a suitable choice of the chemical potential. The entropy is computed numerically at finite temperature and one observes a strong cooling effect during adiabatic changes of the chemical potential. We argue that the localized states, the associated zero-temperature entropy and thus also the large temperature variations carry over to the repulsive Hubbard model. The relation to flat-band ferromagnetism is also discussed briefly.
Honecker Andreas
Richter Jadwiga
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