Invariant subspaces and generalization of Nagaoka's theorem for the Hubbard model $(U=\infty)$

A. V. Vedyaev, A. V. Volkov

M. V. Lomonosov Moscow State University

Abstract: The hubbard model $(U=\infty)$ on an arbitrary graph of sites in the presence of one hole in the system is considered. A sufficient condition for the absence of invariant subspaces of the space of states with fixed value of the $z$ projection of the total spin that differ in the sets of possible spin configurations is found. A generalization of Nagaoka's results for bilobate graphs is given.

Received: 11.02.1992

 English version: Theoretical and Mathematical Physics, 1993, 94:1, 114–116

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