Berlin 2024 – scientific programme
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TT: Fachverband Tiefe Temperaturen
TT 57: Topology: Poster
TT 57.15: Poster
Wednesday, March 20, 2024, 15:00–18:00, Poster E
Chiral Majorana network in the BHZ model — Lena Bittermann1, Patrik Recher1,2, and •Fernando Dominguez1 — 1Institut für Mathematische Physik, Technische Universität Braunschweig, D-38106 Braunschweig, Germany — 2Laboratory for Emerging Nanometrology Braunschweig, D-38106 Braunschweig, Germany
We investigate the energy spectrum and conductance properties of a 2 dimensional topological superconductor, which varies its Chern number spatially with a chessboard pattern. This can be achieved, for example, in topological superconductors described by the BHZ model, where the presence of a spatial dependent electric field can modulate the relative strength of the Rashba and the Dresselhaus spin-orbit coupling [1]. In this scenario, a pair of copropagating chiral Majorana modes appears at the interfaces with a Chern number difference of 2, resulting into a chiral Majorana network that extends over the whole system. To this aim, we develop a Chalker-Coddington scattering model [2], that captures the basic scattering processes that occur at the vortices between four different boundaries. We investigate further, the impact of defects and disorder in the conductance properties.
[1] L. Weithofer and P. Recher, New J. Phys. 15, 085008 (2013)
[2] J. T. Chalker and P. D. Coddington, J. Phys. C: Solid State Phys. 21, 2665 (1988)
Keywords: chiral Majorana modes; network model; BHZ model; scattering theory