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Fermionized parafermions and symmetry-enriched Majorana modes by Chew, Aaron; Mross, David F.; Alicea, Jason is a scholarly article available to read on EtoBox.

What is Fermionized parafermions and symmetry-enriched Majorana modes about?

Parafermion zero modes are generalizations of Majorana modes that underlie comparatively rich non-Abelian-anyon properties. We introduce exact mappings that connect parafermion chains, which can emerge in two-dimensional fractionalized media, to strictly one-dimensional fermionic systems. In particular, we show that parafermion zero modes in the former setting translate into 'symmetry-enriched Majorana modes' that intertwine with a bulk order parameter---yielding braiding and fusion properties that are impossible in standard Majorana platforms. Fusion characteristics of symmetry-enriched Majorana modes are directly inherited from the associated parafermion setup and can be probed via two kinds of anomalous pumping cycles that we construct. Most notably, our mappings relate $\mathbb{Z}_4$ parafermions to conventional electrons with time-reversal symmetry. In this case, one of our pumping protocols entails fairly minimal experimental requirements: Cycling a weakly correlated wire between a trivial phase and time-reversal-invariant topological superconducting state produces an edge magnetization with quadrupled periodicity. Our work highlights new avenues for exploring 'beyond-Majoran

Author

Chew, Aaron; Mross, David F.; Alicea, Jason

Published

2018

Language

EN