58 citations · 585 across the 27 of their papers we have counts for
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Methods for the construction of interacting many-body Hamiltonians with compact localized states in geometrically frustrated clusters
F. D. R. Santos, R. G. Dias
Adding interactions to many-body Hamiltonians of geometrically frustrated lattices often leads to diminished subspaces of localized states. In this paper, we show how to construct…
Analytical solution of open crystalline linear 1D tight-binding models
A. M Marques, R. G. Dias
A method for finding the exact analytical solutions for the bulk and edge energy levels and corresponding eigenstates for all commensurate Aubry-André/Harper single-particle models…
Topological bound states in interacting Su-Schrieffer-Heeger rings
A. M. Marques, R. G. Dias
We study two-particle states in a Su-Shrieffer-Heeger (SSH) chain with periodic boundary conditions and nearest-neighbor (NN) interactions. The system is mapped into a problem of a…
Notes on the Kitaev \leftrightarrow Tight-binding correspondence
Rui Carlos Andrade Martins, Anselmo Miguel Magalhães Marques, Ricardo Assis Guimarães Dias
In this project, we study the properties of a non-trivial topological system which exhibits localized edge states. In our study, we adress the Kitaev chain, a one-dimensional chain…
Origami rules for the construction of localized eigenstates of the Hubbard model in decorated lattices
R. G. Dias, J. D. Gouveia
We present a method of construction of exact localized many-body eigenstates of the Hubbard model in decorated lattices, both for and . These states are l…
Critical hybridization for the Kondo resonance in gapless systems
R. G. Dias, Lidia del Rio, A. V. Goltsev
We study the Kondo resonance in a spin-1/2 single impurity Anderson model with a gapless conduction band using the equation of motion approach in order to obtain the impurity spect…