The discovery of the quantum spin Hall effect and topological insulators more than a decade
ago has revolutionized modern condensed matter physics. Today, the field of topological …

We concisely review the recent evolution in the study of parafermions—exotic emergent
excitations that generalize Majorana fermions and similarly underpin a host of novel …

Majorana bound states are quasiparticle excitations localized at the boundaries of a
topologically nontrivial superconductor. They are zero-energy, charge-neutral, particle–hole …

The structure of extrinsic defects in topologically ordered states of matter is host to a rich set
of universal physics. Extrinsic defects in 2+ 1-dimensional topological states include linelike …

I explicitly construct a strong zero mode in the XYZ chain or, equivalently, Majorana wires
coupled via a four-fermion interaction. The strong zero mode is an operator that pairs states …

In this Tutorial, we give a pedagogical introduction to Majorana bound states (MBSs) arising
in semiconducting nanostructures. We start by briefly reviewing the well-known Kitaev chain …

We introduce topological invariants for gapless systems and study the associated boundary
phenomena. More generally, the symmetry properties of the low-energy conformal field …

Read-Rezayi Z k parafermion wave functions describe ν= 2+(k/k M+ 2) fractional quantum
Hall (FQH) states. These states support non-Abelian excitations from which protected …

One-dimensional topological phases can host localized zero-energy modes that enable
high-fidelity storage and manipulation of quantum information. Majorana fermion chains …

We consider a setup consisting of two coupled sheets of bilayer graphene in the regime of
strong spin-orbit interaction, where electrostatic confinement is used to create an array of …