58 citations · 647 across the 26 of their papers we have counts for
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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…
Multihole edge states in Su-Schrieffer-Heeger chains with interactions
A. M. Marques, R. G. Dias
We address the effect of nearest-neighbor (NN) interactions on the topological properties of the Su-Schrieffer-Heeger (SSH) chain, with alternating hopping amplitudes t1 and t2. Bo…