We review theoretical and experimental highlights in transport in two-dimensional
topological materials over the last five years. Topological materials comprise topological …

In the space of less than one decade, the search for Majorana quasiparticles in condensed
matter has become one of the hottest topics in physics. The aim of this review is to provide a …

Topological Josephson junctions designed on the surface of a 3D-topological insulator
harbor Majorana bound states among a continuum of conventional Andreev bound states …

Parafermion zero modes are generalizations of Majorana modes that underlie comparatively
rich non-Abelian-anyon properties. We introduce exact map**s that connect parafermion …

Z 4 parafermions can be realized in a strongly interacting quantum spin Hall Josephson
junction or in a spin Hall Josephson junction strongly coupled to an impurity spin. In this …

Time-reversal-invariant topological superconducting (TRITOPS) wires are known to host a
fractional spin ℏ/4 at their ends. We investigate how this fractional spin affects the …

The rise of topological phases of matter is strongly connected to their potential to host
Majorana bound states, a powerful ingredient in the search for a robust, topologically …

Time-reversal-invariant topological superconductor (TRITOPS) wires host Majorana
Kramers pairs that have been predicted to mediate a fractional Josephson effect with 4 π …

The anomalous 4 π-periodic ac Josephson effect, a hallmark of topological Josephson
junctions, was experimentally observed in a quantum spin Hall insulator. This finding is …

We study the spin transport through a 1D quantum Ising-XY-Ising spin link that emulates a
topological superconducting-normal-superconducting structure via Jordan-Wigner (JW) …