This review elaborates pedagogically on the fundamental concept, basic theory, expected
properties, and materials realizations of topological superconductors. The relation between …

We introduce exactly solvable gapless quantum systems in d dimensions that support
symmetry-protected topological (SPT) edge modes. Our construction leads to long-range …

Magnet/superconductor hybrids (MSHs) hold the promise to host emergent topological
superconducting phases. Both one-dimensional (1D) and two-dimensional (2D) magnetic …

Topological phases of electronic systems often coexist in a material, well-known examples
being systems which are both strong and weak topological insulators. More recently, a …

We show that sharply defined topological quantum phase transitions are not limited to states
of matter with gapped electronic spectra. Such transitions may also occur between two …

We study two-dimensional noncentrosymmetric nodal superconductors under Zeeman field
and clarify the field-angle dependence of topological properties. It has been shown that the …

Recent studies have attracted widespread attention on magnet-superconductor hybrid
systems with emergent topological superconductivity. Here, we present the Floquet …

We demonstrate that checkerboard magnet-superconductor hybrid (MSH) systems possess
a rich phase diagram exhibiting both strong topological superconducting (STSC) and …

We present a simple criterion for solvability of lattice spin systems on the basis of graph
theory and simplicial homology. The lattice systems satisfy algebras with graphical …

We classify the magnetic ground states of a 2D lattice of localized magnetic moments, which
are coupled to a superconducting substrate with Rashba spin-orbit coupling. We discover a …