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TT: Fachverband Tiefe Temperaturen

TT 31: Topology: Majorana Physics

TT 31.8: Vortrag

Mittwoch, 29. März 2023, 11:30–11:45, HSZ 304

Phase diagram of an extended parafermion chain — Jurriaan Wouters¹, Fabian Hassler², Hosho Katsura³, and •Dirk Schuricht¹ — ¹Institute for Theoretical Physics, Center for Extreme Matter and Emergent Phenomena, Utrecht University — ²JARA-Institute for Quantum Information, RWTH Aachen University — ³Department of Physics, Graduate School of Science, The University of Tokyo

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 Z₃ 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.