Regensburg 2019 – wissenschaftliches Programm

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TT: Fachverband Tiefe Temperaturen

TT 68: Topology: Other Topics

TT 68.5: Vortrag

Freitag, 5. April 2019, 10:30–10:45, H22

Spectral analysis of the finite Kitaev chain — •Nico Leumer, Milena Grifoni, and Magdalena Marganska — Institut of Physics, Regensburg

Nearly two decades ago, Kitaev published his famous toy model about the emergence of Majorana fermions in the context of spinless electrons on a chain with p-wave superconducting pairing ([1], [2]). Due to its simplicity this model is often used to explain the concepts of topological superconductors.

Despite its popularity, not much is known about the spectrum of a finite Kitaev chain. We report here on a spectral analysis yielding the spectrum E(k) and the eigenvectors of the finite chain in analytic form. By mapping the Kitaev chain to a system of two coupled SSH-chains, a non trivial quantisation condition for the allowed k values is found.
A. Y. Kitaev, Phys. Usp. 44, (2001)
R. Aguado, Riv. Nuovo Cimento 40, 16, (2017)