Topological Phases with Parafermions: Theory and Blueprints

By J. Alicea, P. Fendley. 2015

262 citations recorded by the source corpus.

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 phenomena. First we generalize the intimate connection between the -symmetric Ising quantum spin chain and Majorana fermions to -symmetric chains and parafermions. In particular, we highlight how parafermion chains host a topological phase featuring protected edge zero modes. We then tour several blueprints for the laboratory realization of parafermion zero modes—focusing on quantum Hall/superconductor hybrids, quantum Hall bilayers, and two-dimensional topological insulators—and describe striking experimental fingerprints that they provide. Finally, we discuss how coupled parafermion arrays in quantum Hall architectures yield topological phases that potentially furnish hardware for a universal, intrinsically decoherence-free quantum computer.

Subfields: Atomic and Molecular Physics, and Optics, Condensed Matter Physics

View Paper: https://www.semanticscholar.org/paper/7716edb145c8e33fe40d015c13eb556f2a38ab14

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In Atomic and Molecular Physics, and Optics

1. R. Verresen
2. Frank Pollmann
3. Tibor Rakovszky
4. Michael Jason Knap
5. Pablo Sala
6. O. Motrunich
7. Sanjay Moudgalya
8. V. Khemani

In Condensed Matter Physics

1. R. Verresen
2. Pablo Sala
3. Frank Pollmann
4. Michael Jason Knap
5. Tibor Rakovszky

Citations in the corpus

• Statistical localization: From strong fragmentation to strong edge modes (2019, background): “[55] Jason Alicea and Paul Fendley, “Topological phases with parafermions: Theory and blueprints,” Annual Review of Condensed Matter Physics 7, 119–139 (2016), https://doi.”