58 citations · 585 across the 27 of their papers we have counts for
6 papers · 1 filter
Long-range hopping and indexing assumption in one-dimensional topological insulators
R. G. Dias, A. M. Marques
In this paper, we show that the introduction of long-range hoppings in 1D topological insulator models implies that different possibilities of site indexing must be considered when…
-root weak, Chern, and higher-order topological insulators, and -root topological semimetals
A. M. Marques, R. G. Dias
Recently, we have introduced in [A. M. Marques et al., Phys. Rev. B 103, 235425 (2021)] the concept of -root topology and applied it to one-dimensional systems. These models r…
One-dimensional -root topological insulators and superconductors
A. M. Marques, L. Madail, R. G. Dias
Square-root topology is a recently emerged subfield describing a class of insulators and superconductors whose topological nature is only revealed upon squaring their Hamiltonians,…
One-dimensional topological insulators with noncentered inversion symmetry axis
A. M. Marques, R. G. Dias
In this paper, we discuss the characteristic features of one-dimensional topological insulators with inversion symmetry but noncentered inversion axis in the unit cell, for any cho…
Generalization of Zak's phase for lattice models with non-centered inversion symmetry axis
A. M. Marques, R. G. Dias
We show how the presence of inversion symmetry in a one-dimensional (1D) lattice model is not a sufficient condition for a quantized Zak's phase. This is only the case when the inv…
Transport through quantum rings
B. A. Z. Antonio, A. A. Lopes, R. G. Dias
The transport of fermions through nanocircuits plays a major role in mesoscopic physics. Exploring the analogy with classical wave scattering, basic notions of nanoscale transport…