An integrable model with parafermion zero energy modes

Abstract

Parafermion zero energy modes are a vital element of fault-tolerant topological quantum computation. Although it is believed that such modes form on the border between topological and normal phases, this has been demonstrated only for Z${}_2$ (Majorana) and Z${}_3$ parafermions. I consider an integrable model where such demonstration is possible for Z${}_N$ parafermions with any $N$. The procedure is easely generalizable for more complicated symmetry groups.

4 pages

References in corpus (4)

• Non-Abelian Anyons and Topological Quantum Computation
• Signatures of Majorana fermions in hybrid superconductor-semiconductor nanowire devices
• Measurement-Only Topological Quantum Computation
• Collective states of interacting Fibonacci anyons

Cited by in corpus (2)

• Non-Abelian parafermions in time-reversal invariant interacting helical systems
• Parafermion stabilizer codes