There are two prominent applications of the mathematical concept of topology to the physics
of materials: band topology, which classifies different topological insulators and semimetals …

Higher-order topological insulators (HOTIs) are unique materials hosting topologically
protected states, whose dimensionality is at least by 2 lower than that of the bulk …

Topological photonics attract significant interests due to their intriguing fundamental physics
and potential applications. Researchers are actively exploring various artificial platforms to …

Nonlinear topological insulators have garnered substantial recent attention as they have
both enabled the discovery of new physics due to interparticle interactions, and may have …

We study linear and nonlinear higher-order topological insulators (HOTIs) based on
waveguide arrays arranged into Sierpiński gasket and Sierpiński carpet structures, both of …

We address continuous two-dimensional (2D) star-junctions formed by different numbers of
Su–Schrieffer-Heeger (SSH) chains that have one common waveguide in the center of the …

The multi-Fano interference, which is obtained through the simultaneous acquisition of
bright and dark states in different phase transitions of Eu 3+: BiPO 4 (7: 1, 6: 1, 1: 1, and 0.5 …

Dirac points are special points in the energy band structure of various materials, around
which the dispersion is linear. If the corresponding Fermi surface is projected as a pair of …

Topological insulators are most frequently constructed using lattices with specific
degeneracies in their linear spectra, such as Dirac points. For a broad class of lattices, such …

Recently, the spectral localizer framework has emerged as an efficient approach to
classifying topology in photonic systems featuring local nonlinearities and radiative …