Phase diagram of an extended parafermion chain
Strongly Correlated Electrons
2022-02-09 v3
Abstract
We study the phase diagram of an extended parafermion chain, which, in addition to terms coupling parafermions on neighbouring sites, also possesses terms involving four sites. Via a Fradkin--Kadanoff transformation the parafermion chain is shown to be equivalent to the non-chiral axial next-nearest neighbour Potts model. We discuss a possible experimental realisation using hetero-nanostructures. The phase diagram contains several gapped phases, including a topological phase where the system possesses three (nearly) degenerate ground states, and a gapless Luttinger-liquid phase.
Keywords
Cite
@article{arxiv.2106.15823,
title = {Phase diagram of an extended parafermion chain},
author = {Jurriaan Wouters and Fabian Hassler and Hosho Katsura and Dirk Schuricht},
journal= {arXiv preprint arXiv:2106.15823},
year = {2022}
}