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- Title
Origami rules for the construction of localized eigenstates of the Hubbard model in decorated lattices.
- Authors
Dias, R. G.; Gouveia, J. D.
- Abstract
We present a method of construction of exact localized many-body eigenstates of the Hubbard model in decorated lattices, both for U = 0 and U → ∞. These states are localized in what concerns both hole and particle movement. The starting point of the method is the construction of a plaquette or a set of plaquettes with a higher symmetry than that of the whole lattice. Using a simple set of rules, the tight-binding localized state in such a plaquette can be divided, folded and unfolded to new plaquette geometries. This set of rules is also valid for the construction of a localized state for one hole in the U → ∞ limit of the same plaquette, assuming a spin configuration which is a uniform linear combination of all possible permutations of the set of spins in the plaquette.
- Subjects
HUBBARD model; LATTICE theory; FERROMAGNETISM; SYMMETRY; PLAQUETTE bindings
- Publication
Scientific Reports, 2015, p16852
- ISSN
2045-2322
- Publication type
Article
- DOI
10.1038/srep16852