58 citations · 647 across the 26 of their papers we have counts for
26 papers
High-root topological edge-state bands
R. G. Dias, L. Madail, A. M. Marques
This paper presents a complex band analysis of one-dimensional (1D) square and high-root topological insulators (HRTIs). We show that edge-state bands of HRTIs are sliced sections…
Flat-band induced local Hilbert space fragmentation
Eloi Nicolau, Anselmo M. Marques, Ricardo G. Dias +1
We demonstrate that a complete class of flat-band lattices with underlying commutative local symmetries exhibit a locally fragmented Hilbert space. The equitable partition theorem…
Bosonic orbital Su-Schrieffer-Heeger model in a lattice of rings
Eloi Nicolau, Anselmo M. Marques, Jordi Mompart +2
We study the topological properties of interacting and non-interacting bosons loaded in the orbital angular momentum states in a lattice of rings with alternating distances.…
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…