2015/05/04 by R. G. Dias, Dias, R. G., José D. Gouveia +2 · 2 citations
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #FOS: Physical sciences #Quantum many-body systems #Strongly Correlated Electrons (cond-mat.str-el) #Theoretical and Computational Physics #cond-mat.str-el
paper · pdf · doi:10.48550/arxiv.1505.00570
6 pages, 5 figures
arxiv created 2015/05/04 · openalex publication_date 2015/05/04 · arxiv updated 2015/05/05 · openalex created_date 2019/06/27 · openalex updated_date 2026/07/28
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.