Journal
NEW JOURNAL OF PHYSICS
Volume 12, Issue -, Pages -Publisher
IOP PUBLISHING LTD
DOI: 10.1088/1367-2630/12/5/055014
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Funding
- Spanish MICINN [FIS2009-10061]
- CAM research consortium QUITEMAD [S2009-ESP-1594]
- European grant PICC
- UCM-BS [GICC-910758]
- FPU MEC
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We study the adiabatic dynamics of Majorana fermions across a quantum phase transition. We show that the Kibble-Zurek scaling, which describes the density of bulk defects produced during the critical point crossing, is not valid for edge Majorana fermions. Therefore, the dynamics governing an edge state quench is nonuniversal and depends on the topological features of the system. Besides, we show that the localization of Majorana fermions is a necessary ingredient to guarantee robustness against defect production.
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