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 …

The joint action of a magnetic field and of interactions is crucial for the appearance of exotic
quantum phenomena, such as the quantum Hall effect. Owing to their rich nuclear structure …

Parafermions are exotic quasiparticles with non-Abelian fractional statistics that can be
realized and stabilized in one-dimensional models that are generalizations of the Kitaev p …

Topological order, the hallmark of fractional quantum Hall states, is primarily defined in
terms of ground-state degeneracy on higher-genus manifolds, eg, the torus. We investigate …

We apply Witten's conjugation argument [Nucl. Phys. B 202, 253 (1982)] to spin chains,
where it allows us to derive frustration-free systems and their exact ground states from …

Quantum phase transitions are studied in the nonchiral p-clock chain, and a new explicitly U
(1)-symmetric clock model, by monitoring the ground-state fidelity susceptibility. For p≥ 5 …

Advances in hybrid fractional quantum Hall (FQH)-superconductor platforms pave the way
for realisation of parafermionic modes. We analyse signatures of these non-abelian anyons …

Parafermions are emergent quasiparticles which generalize Majorana fermions and
possess intriguing anyonic properties. The theoretical investigation of effective models …

Parafermions are emergent excitations that generalize Majorana fermions and can also
realize topological order. In this Letter, we present a nontrivial and quasi-exactly-solvable …

We study parafermion chains with Z k symmetry subject to a periodic binary drive, focusing
on the case k= 3. We find that the chains support different Floquet edge modes at nontrivial …