We investigate the localization properties of quasiperiodic tight-binding chains with hop**
terms modulated by the interpolating Aubry-André-Fibonacci (IAAF) function. This off …

Topological phonon polaritons (TPhPs) are promising optical modes relevant in long-range
radiative heat transfer, information processing, and infrared sensing, whose topological …

Topological phonon polaritons (TPhPs) are localized boundary modes arising from the
combination of topological photonics and phonon polaritons in micro/nanostructures made …

Topological quantum optical states in one-dimensional (1D) quasiperiodic cold atomic
chains are studied in this work. We propose that by introducing incommensurate …

We provide a detailed analysis of a topological structure of a fermion spectrum in the
Hofstadter model with different hop** integrals along the x, y, z-links (tx= t, ty= tz= 1) …

The topological properties of the quantum Hall effect in a crystalline lattice, described by
Chern numbers of the Hofstadter butterfly quantum phase diagram, are deduced by using a …

Quasiperiodic structures with additional synthetic degrees of freedom have recently been
recognized as a promising way for investigating high-dimensional topological phases with …

We study the quantum topological properties of Floquet (time-periodic) systems exhibiting
Hall effects due to perpendicular magnetic and electric fields. The systems are charged …

Using a weak limit for the hop** integral in one direction in the Hofstadter model, we show
that the fermion states in the gaps of the spectrum are determined within the Kitaev chain …