Visualizing Majorana bound states in one and two dimensions using the generalized Majorana polarization

N. Sedlmayr; C. Bena

Visualizing Majorana bound states in one and two dimensions using the generalized Majorana polarization

N. Sedlmayr ¹ C. Bena ^{2, 1}

1 IPHT - Institut de Physique Théorique - UMR CNRS 3681

2 LPS - Laboratoire de Physique des Solides

Abstract : We study the solutions of generic Hamiltonians exhibiting particle-hole mixing. We show that there exists a universal quantity that can describe locally the Majorana nature of a given state. This pseudo-spin like two-component quantity is in fact a generalization of the Majorana polarization (MP) measure introduced in Sticlet et al. 2012, which was applicable only for some models with specific spin and symmetry properties. We apply this to an open two-dimensional Kitaev system, as well as to a one-dimensional topological wire. We show that the MP characterization is a necessary and sufficient criterion to test whether a state is a Majorana or not, and use it to numerically determine the topological phase diagram.

Document type :

Journal articles

Domain :

Physics [physics]

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https://hal-cea.archives-ouvertes.fr/cea-01497757
Contributor : Emmanuelle de Laborderie <>
Submitted on : Thursday, October 11, 2018 - 4:11:11 PM
Last modification on : Thursday, February 7, 2019 - 2:55:47 PM
Long-term archiving on : Saturday, January 12, 2019 - 2:43:44 PM

1506.05467.pdf

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Visualizing Majorana bound states in one and two dimensions using the generalized Majorana polarization

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