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 …

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 …

Cavity embedding is an emerging paradigm for the control of quantum matter, offering
avenues to manipulate electronic states and potentially drive topological phase transitions …

I review the concept of a disorder operator, introduced originally by Kadanoff in the context
of the two-dimensional Ising model. Disorder operators acquire an expectation value in the …

We study Majorana chain with the shortest possible interaction term and in the presence of
hop** alternation. When formulated in terms of spins the model corresponds to the …

A bstract We formulate a ℤ k-parafermionization/bosonization scheme for one-dimensional
lattice models and field theories on a torus, starting from a generalized Jordan-Wigner …

We study the Kitaev chain under generalized twisted boundary conditions, for which both the
amplitudes and the phases of the boundary couplings can be tuned at will. We explicitly …

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

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 …