58 citations · 585 across the 27 of their papers we have counts for
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Kaleidoscopes of Hofstadter Butterflies and Aharonov-Bohm caging from -root topology in decorated square lattices
A. M. Marques, J. Mögerle, G. Pelegrí +3
Square-root topology describes models whose topological properties can be revealed upon squaring the Hamiltonian, which produces their respective parent topological insulators. Thi…
Local Hilbert space fragmentation and weak thermalization in Bose-Hubbard diamond necklaces
Eloi Nicolau, Anselmo M. Marques, Jordi Mompart +2
We study Bose-Hubbard models in a family of diamond necklace lattices with central sites. The single-particle spectrum of these models presents compact localized states (CLSs)…
Many-body Aharonov-Bohm caging in a lattice of rings
Eloi Nicolau, Anselmo M. Marques, Ricardo G. Dias +2
We study a system of a few ultracold bosons loaded into the states with orbital angular momentum of a one-dimensional staggered lattice of rings. Local eigenstates with windi…
Generalized Lieb's theorem for noninteracting non-Hermitian -partite tight-binding lattices
A. M. Marques, R. G. Dias
Hermitian bipartite models are characterized by the presence of chiral symmetry and by Lieb's theorem, which derives the number of zero-energy flat bands of the model from the imba…