Berlin 2018 – wissenschaftliches Programm
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TT: Fachverband Tiefe Temperaturen
TT 102: Topology: Majorana Fermions
TT 102.5: Vortrag
Donnerstag, 15. März 2018, 17:00–17:15, A 053
Majorana bound states in semiconducting carbon nanotubes - Part II (analytics) — •Lars Milz1, Magdalena Marganska1, Wataru Izumida1,2, Christoph Strunk3, and Milena Grifoni1 — 1Institut of Theoretical Physics, University of Regensburg, 93 035 Regensburg, Germany — 2Department of Physics, Tohoku University, Sendai 980 8578, Japan — 3Institute of Experimental and Applied Physics, University of Regensburg, 93 053 Regensburg, Germany
In this talk we present an effective two-band model Hamiltonian for superconducting carbon nanotubes, valid in the limit of small magnetic fields, which can be solved fully analytically. We will show the corresponding quasiparticle energy spectrum and the topological phase diagram for the bulk system. In the semi-infinite geometry we will demonstrate the presence of Majorana bound states in the topological non-trivial regions. The longitudinal component of the corresponding Majorana wave function has three contributions, one from the Γ-point and from each Fermi point. In order to obtain the full Majorana wave function we also include its transverse profile. Finally, we compare it with the wave function obtained by a numerical, real space tight-binding calculation.