Dresden 2014 – scientific programme
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TT: Fachverband Tiefe Temperaturen
TT 95: Focus Session: Theoretical Advances in Interacting Topological Phases (organized by TT)
TT 95.7: Talk
Thursday, April 3, 2014, 18:05–18:25, HSZ 03
From fractionally charged solitons to Majorana bound states in a one-dimensional interacting model — •Frank Pollmann1, Doru Sticlet1,2, Luis Seabra1,3, and Jerome Cayssol1,2 — 1Max-Planck-Institute for the Physics of Complex Systems, Dresden, Germany — 2CNRS and University Bordeaux, Talence, France — 3Technion, Haifa, Israel
We investigate the one-dimensional Creutz model in the presence of induced superconductivity and Hubbard type interactions. We show that zero-energy Majorana edge modes develop in the presence of superconducting pairing for a certain range of parameters. Additionally, the system hosts regular electronic zero-energy modes in a trivial superconducting phase. We study the effect of interactions using a combination of density matrix renormalization group (DRMG) methods and mean field theory. It is shown how local repulsive interactions expand the parameter range for which a topological Majorana phase is stabilized. In contrast, we find that interactions remove the zero-energy modes found in the trivial superconducting phase.