Flat Majorana bands in two-dimensional lattices with inhomogeneous magnetic fields: Topology and stability

N. Sedlmayr (1) , J. M. Aguiar-Hualde (1) , C. Bena (1, 2)

1 IPHT - Institut de Physique Théorique - UMR CNRS 3681
2 LPS - Laboratoire de Physique des Solides

In this paper we show that for a range of configurations of inhomogeneous magnetic fields it is possible to create flat bands of Majorana states localized on the edges of 2-d lattices. Majorana bound states have been predicted to exist in both one dimensional and two dimensional systems with Rashba spin-orbit coupling, magnetic fields, and placed in proximity to a superconductor. For the proposed systems we present the bulk topological phase diagrams, and we study the conditions for weak topology which predicts the formation of bands of Majorana states. The Majorana bands are demonstrated to be relatively stable with respect to a variety of different perturbations on both square and hexagonal lattices.

Domaines: Physique [physics]

N. Sedlmayr, J. M. Aguiar-Hualde, C. Bena. Flat Majorana bands in two-dimensional lattices with inhomogeneous magnetic fields: Topology and stability. Physical Review B: Condensed Matter and Materials Physics (1998-2015), 2015, 91 (11), pp.115415. ⟨10.1103/PhysRevB.91.115415⟩. ⟨cea-01329662⟩