Generalized fullerene-like lattices, and itinerant interacting electrons

Mario Rasetti and Riccardo Zecchina

Physica A: Statistical Mechanics and its Applications, 1993, vol. 199, issue 3, 539-570

Abstract: A class of molecular and lattice structures generalizing the icosahedral structure of the fullerene is analyzed, leading to the notion of non-Euclidean lattices. The construction is based on a hierarchy of finite, finitely presented groups derived from subgroups of the modular group. The infinite lattices obtainable are schwartzite-like tubular structures. The Hubbard model is then discussed, in the three most commonly adopted mean-field approximations, exploiting to its full extent the lattice symmetry, and coupling it to the dynamical symmetry induced by the model characteristic description of itinerant electrons.

Date: 1993
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:199:y:1993:i:3:p:539-570

DOI: 10.1016/0378-4371(93)90067-E

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