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.
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Physical Review B : Condensed matter and materials physics, American Physical Society, 2015, 92 (115115), 〈10.1103/PhysRevB.92.115115〉
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https://hal-cea.archives-ouvertes.fr/cea-01497757
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Soumis le : jeudi 11 octobre 2018 - 16:11:11
Dernière modification le : samedi 13 octobre 2018 - 01:15:08
Document(s) archivé(s) le : samedi 12 janvier 2019 - 14:43:44

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N. Sedlmayr, C. Bena. Visualizing Majorana bound states in one and two dimensions using the generalized Majorana polarization. Physical Review B : Condensed matter and materials physics, American Physical Society, 2015, 92 (115115), 〈10.1103/PhysRevB.92.115115〉. 〈cea-01497757〉

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