Measuring topological invariants is an essential task in characterizing topological phases of
matter. They are usually obtained from the number of edge states due to the bulk-edge …

The real space decimation method has been successfully applied over the years to
understand the critical phenomena as well as the nature of single particle excitations in …

Square-root topology is a recently emerged subfield describing a class of insulators and
superconductors whose topological nature is only revealed upon squaring their …

Recently, we have introduced [AM Marques, Phys. Rev. B 103, 235425 (2021) 2469-9950
10.1103/PhysRevB. 103.235425] the concept of 2 n-root topology and applied it to one …

In this paper, we show that the introduction of long-range hop**s in one-dimensional
topological insulator models implies that different possibilities of site indexing must be …

Robust edge transport can occur when charged particles in crystalline lattices interact with
an applied external magnetic field. Such systems have a spectrum composed of bands of …

Flat band (FB) systems, featuring dispersionless energy bands, have garnered significant
interest due to their compact localized states (CLSs). However, a detailed account on how …

We investigate the flat bands in a quasi-one-dimensional rhombic array composed of
evanescently coupled microring resonators (MRRs) with non-Hermitian coupling. By …

Square-root topology is one of the newest additions to the ever expanding field of
topological insulators (TIs). It characterizes systems that relate to their parent TI through the …

The introduction of Peierls phases in open tight-binding chains without closed paths in either
real or synthetic dimensions is understood to be physically inconsequential, as one …