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arxiv: 1511.02817 · v3 · pith:HYOVCNANnew · submitted 2015-11-09 · ❄️ cond-mat.str-el · cond-mat.mes-hall

Topological order in the Kitaev/Majorana chain in the presence of disorder and interactions

classification ❄️ cond-mat.str-el cond-mat.mes-hall
keywords disorderinteractionstopologicalchainordercombinedeffectkitaev
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We study the combined effect of interactions and disorder on topological order in one dimension. To this end we consider a generalized Kitaev chain including fermion-fermion interactions and disorder in the chemical potential. We determine the phase diagram by performing density-matrix renormalization group calculations on the corresponding spin-1/2 chain. We find that moderate disorder or repulsive interactions individually stabilize the topological order, which remains valid for their combined effect. However, both repulsive and attractive interactions lead to a suppression of the topological phase at strong disorder.

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