Exact solution of the Hubbard model for a four-center tetrahedral cluster

L. M. Falicov, R. H. Victora

Research output: Contribution to journalArticlepeer-review

70 Scopus citations


The eigenvalues of a Hubbard Hamiltonian for a four-center tetrahedral cluster are calculated exactly. Full use is made of the symmetry of the problem, which is analyzed for an arbitary number of electrons, 0N8. Comparison is made with the phenomenological Hund's-rule predictions for the ground states. The diversity of the low-energy states is surprising: magnetic and nonmagnetic solutions, single and degenerate representations, accidental degeneracies, and symmetry crossovers are all found for the ground states. Implications for three-dimensional lattices are discussed.

Original languageEnglish (US)
Pages (from-to)1695-1699
Number of pages5
JournalPhysical Review B
Issue number4
StatePublished - 1984
Externally publishedYes

Bibliographical note

Copyright 2015 Elsevier B.V., All rights reserved.


Dive into the research topics of 'Exact solution of the Hubbard model for a four-center tetrahedral cluster'. Together they form a unique fingerprint.

Cite this