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 …

Non-Abelian anyons promise to reveal spectacular features of quantum mechanics that
could ultimately provide the foundation for a decoherence-free quantum computer. A key …

We examine the Kogut-Susskind formulation of lattice gauge theories under the light of
fermionic and bosonic degrees of freedom that provide a description useful to the …

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 …

The emergence of non-Abelian anyons from large collections of interacting elementary
particles is a conceptually beautiful phenomenon with important ramifications for fault …

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Fractionalized quasiparticles—anyons—bear a special role in present-day physics. At the
same time, they display properties of interest both foundational, with quantum numbers that …

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 …