Berlin 2018 – scientific programme

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TT: Fachverband Tiefe Temperaturen

TT 28: Poster Session: Topological Topics

TT 28.12: Poster

Monday, March 12, 2018, 15:00–19:00, Poster B

Stability of Majorana edge modes in an interacting Kitaev chain in presence of non-Markovian electron-phonon interaction — •Julian Schleibner, Florian Katsch, and Alexander Carmele — Institut für Theoretische Physik, Nichtlineare Optik und Quantenelektronik von Halbleitern, Technische Universität Berlin, Hardenbergstr. 36, 10623 Berlin, Germany

We study a generic example of a system that fails to thermalize, namely a Kitaev chain with a bulk and topological edge-edge states [1, 2]. It is of interest to study the resilience of such Majorana modes in the presence of nearest-neighbor interaction and non-Markovian dissipation. The nearest-neighbor interaction couples the Majorana edge modes to the bulk leading to decay of the edge correlation due to dissipation into the phonon reservoir. The systems’ time evolution is described and evaluated by means of Heisenberg equation of motion for small system sizes, taking into account the full hierarchy. The contributions originating from the phonon bath are calculated in second order Born factorization. The results are compared to previous studies, where the dissipation into a Markovian reservoir was described within a master equation framework, implying violation of the parity symmetry. In this case the edge correlation shows an exponential decay in homogeneous chains and a stretched exponential decay in disordered chains [3].
Pal et al., Phys. Rev. B 82, 174411 (2010).
[2] Kitaev, Phys. Usp. 44, 131 (2001).
[3] Carmele et al., Phys. Rev. B 92, 195107 (2015).