Topological phases with parafermions: theory and blueprints
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 …
excitations that generalize Majorana fermions and similarly underpin a host of novel …
Operator delocalization in quantum networks
We investigate the delocalization of operators in nonchaotic quantum systems whose
interactions are encoded in an underlying graph or network. In particular, we study how fast …
interactions are encoded in an underlying graph or network. In particular, we study how fast …
Superconducting analogue of the parafermion fractional quantum Hall states
A Vaezi - Physical Review X, 2014 - APS
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 …
Hall (FQH) states. These states support non-Abelian excitations from which protected …
Quantum computing with parafermions
Z d parafermions are exotic non-Abelian quasiparticles generalizing Majorana fermions,
which correspond to the case d= 2. In contrast to Majorana fermions, braiding of …
which correspond to the case d= 2. In contrast to Majorana fermions, braiding of …
Phase diagram of the parafermionic chain with chiral interactions
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 …
realized and stabilized in one-dimensional models that are generalizations of the Kitaev p …
Generalization of Bloch's theorem for arbitrary boundary conditions: Theory
We present a generalization of Bloch's theorem to finite-range lattice systems of
independent fermions, in which translation symmetry is broken solely due to arbitrary …
independent fermions, in which translation symmetry is broken solely due to arbitrary …
parafermions in one-dimensional fermionic lattices
Parafermions are emergent excitations which generalize Majorana fermions and are
potentially relevant to topological quantum computation. Using the concept of Fock …
potentially relevant to topological quantum computation. Using the concept of Fock …
Interrelations among frustration-free models via Witten's conjugation
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 …
where it allows us to derive frustration-free systems and their exact ground states from …
Anyonic tight-binding models of parafermions and of fractionalized fermions
Parafermions are emergent quasiparticles which generalize Majorana fermions and
possess intriguing anyonic properties. The theoretical investigation of effective models …
possess intriguing anyonic properties. The theoretical investigation of effective models …
Parafermion chain with Floquet edge modes
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 …
on the case k= 3. We find that the chains support different Floquet edge modes at nontrivial …