Regensburg 2022 – wissenschaftliches Programm
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TT: Fachverband Tiefe Temperaturen
TT 20: Topology: Poster Session
TT 20.10: Poster
Mittwoch, 7. September 2022, 15:00–18:00, P1
Ground-state splitting of parafermions zero modes at a finite distance — •Raphael L R C Teixeira1,2, Amal Mathew2,3, Roshni Singh2,3, Solofo Groenedijk2, Andreas Haller2, Edvin G Idrisov2, Luis G G V Dias da Silva1, and Thomas L Schmidt2 — 1Instituto de Fisica - Universidade de Sao Paulo, Sao Paulo Brazil — 2Department of Physics and Materials Science Université du Luxembourg, Luxembourg, Luxembourg — 3Indian Institute of Technology, Bombay, India
Parafermion bound states can be regarded as fractional excitations that generalize Majorana bound states. Parafermions appear in strongly-correlated systems, and in particular, fractional Quantum Hall (FQH) edge states with induced superconductivity can be used to create localized Z2n parafermion modes. Previous works have used the single-instanton approximation to calculate the ground-state energy splitting in the limit of a large distance between the parafermions. In this work, we go beyond this approximation to determine the energy splitting in shorter systems, paving the way to better understanding experimentally relevant systems. We discuss the implications of a finite length in the coupling between parafermions and how it goes beyond the corresponding effect for Majorana bound states.We The analytical results agreed with Monte Carlo simulations implying the corrections we found cannot be neglected.