SKM 2023 – wissenschaftliches Programm
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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.