Majorana fermions in finite-size strips with in-plane magnetic fields

Kaladzhyan, Vardan and Despres, Julien and Mandal, Ipsita and Bena, Cristina. (2017) Majorana fermions in finite-size strips with in-plane magnetic fields. The European Physical Journal B, 90 (11). p. 211.

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Official URL: https://edoc.unibas.ch/85195/

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We study the Majorana bound states (MBS) arising in finite-size strips with Rashba spin-orbit coupling in the presence of an in-plane Zeeman magnetic field. Using two different methods, first, the numerical diagonalization of the tight-binding Hamiltonian, and second, finding the singular points of the Hamiltonian [I. Mandal, Europhys. Lett. 110, 67005 (2015); I. Mandal, S. Tewari, Physica E 79, 180 (2016); I. Mandal, Condens. Matter Phys. 19, 33703 (2016); P. San-Jose, E. Prada, R. Aguado, Sci. Rep. 6, 21427 (2016)], we obtain the topological phase diagram for these systems as a function of the chemical potential and the magnetic field, and we demonstrate the consistency of these two methods. By introducing disorder into these systems we confirm that the states with even number of Majorana pairs are not topologically protected. Finally, we show that a calculation of the ℤ2 topological invariants recovers correctly the parity of the number of MBS pairs, and it is thus fully consistent with the phase diagrams of the disordered systems.
Faculties and Departments:05 Faculty of Science > Departement Physik
UniBasel Contributors:Kaladzhyan, Vardan
Item Type:Article, refereed
Article Subtype:Research Article
Note:Publication type according to Uni Basel Research Database: Journal article
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Last Modified:19 Nov 2021 11:29
Deposited On:19 Nov 2021 11:29

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