Dresden 2017 – scientific programme
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TT: Fachverband Tiefe Temperaturen
TT 76: Poster Session: Transport 2
TT 76.22: Poster
Thursday, March 23, 2017, 15:00–19:00, P2-OG1
Stretched exponential decay of Majorana edge modes in many-body localized Kitaev chains — •Florian Katsch1, Leon Droenner1, Markus Heyl2, and Alexander Carmele1 — 1Institut für Theoretische Physik, Nichtlineare Optik und Quantenelektronik, Technische Universität Berlin, Hardenbergstr. 36, 10623 Berlin, Germany — 2Max-Planck-Institut für Physik komplexer Systeme, Dynamics in correlated quantum matter, Nöthnitzer Str. 38, 01187 Dresden, 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]. Therefore, the resilience of such Majorana modes in the presence of symmetry-breaking dissipation is investigated. Hence, both the loss and gain is described within a master equation framework, implying that the parity symmetry is violated. Considering a homogeneous system, it can be shown that the edge-edge correlation decays exponentially fast [3]. By including strong disorder to the system, the decay flattens and the Majorana mode survives longer. The result thus represents a first step to stabilize edge-edge states taking account of symmetry-breaking environments via a strong disorder mechanism closely connected to many-body localization.
[1] 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)