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

作者：Kaladzhyan Vardan^*; Despres Julien; Mandal Ipsita; Bena Cristina

来源：European Physical Journal B, 2017, 90(11): 211.

DOI：10.1140/epjb/e2017-80103-y

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. 1 1 0, 67005 (2015); I. Mandal, S. Tewari, Physica E 7 9, 180 (2016); I. Mandal, Condens. Matter Phys. 1 9, 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 con firm that the states with even number of Majorana pairs are not topologically protected. Finally, we show that a calculation of the Z(2) 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.

• 出版日期2017-11-7
• 单位中国地震局