The physics of quantum materials is dictated by many-body interactions and mathematical
concepts such as symmetry and topology that have transformed our understanding of matter …

Topological materials have become the focus of intense research in recent years, since they
exhibit fundamentally new physical phenomena with potential applications for novel devices …

We propose heterostructures that realize first and second order topological
superconductivity with vanishing net magnetization by utilizing altermagnetism. Such …

We study surface states of topological crystalline insulators and superconductors protected
by inversion symmetry. These fall into the category of “higher-order” topological insulators …

Defect modes in two-dimensional periodic photonic structures have found use in diverse
optical devices. For example, photonic crystal cavities confine optical modes to …

Second-order topological insulators and superconductors have a gapped excitation
spectrum in bulk and along boundaries, but protected zero modes at corners of a two …

The rich variety of crystalline symmetries in solids leads to a plethora of topological
crystalline insulators (TCIs), featuring distinct physical properties, which are conventionally …

Topological solitons, a class of stable nonlinear excitations, appear in diverse domains as in
the Skyrme model of nuclear forces. Here, we argue that similar excitations play an …

Both theoretical and experimental studies of topological phases in non-Hermitian systems
have made a remarkable progress in the last few years of research. In this article, we review …

Topological photonics is a rapidly emerging field of research in which geometrical and
topological ideas are exploited to design and control the behavior of light. Drawing …