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arXiv · 1804.10584

End-to-end correlations in the Kitaev chain

Jose Reslen
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Abstract

The interdependence between long range correlations and topological signatures in fermionic arrays is examined. End-to-end correlations, in particular classical correlations, maintain a characteristic pattern in the presence of delocalized excitations and this behavior can be used as an operational criterion to identify Majorana fermions in one-dimensional systems. The study discusses how to obtain the chain eigenstates in tensor-state representation together with the proposed assessment of correlations. Outstandingly, the final result can be written as a simple analytical expression that underlines the link with the system's topological phases.

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Jose Reslen. 2018-04-27. End-to-end correlations in the Kitaev chain. https://doi.org/10.1088/2399-6528%2Faae4c5

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