2017/05/25 by Indubala I. Satija, Indubala I Satija, Satija, Indubala I
Physics and Astronomy · #Chaotic Dynamics (nlin.CD) #Disordered Systems and Neural Networks (cond-mat.dis-nn) #FOS: Physical sciences #Physics of Superconductivity and Magnetism #Rare-earth and actinide compounds #Topological Materials and Phenomena #cond-mat.dis-nn #nlin.CD
paper · pdf · doi:10.48550/arxiv.1705.09130
arxiv created 2017/05/25 · openalex publication_date 2017/05/25 · arxiv updated 2017/05/26 · openalex created_date 2017/06/05 · openalex updated_date 2026/07/28
Spatial profile of the Majorana fermion wave function in a one-dimensional p-wave superconductors (\calPWS) with quasi periodic disorder is shown to exhibit spatial oscillations. These oscillations damp out in the interior of the chain and are characterized by a period that has topological origin and is equal to the Chern number determining the Hall conductivity near half-filling of a two-dimensional electron gas in a crystal. This mapping unfolds in view of a correspondence between the critical point for the topological transition in \calPWS and the \it strong coupling fixed point of the Harper's equation. Oscillatory character of these modes persist in a generalized model related to an extended Harper system where the electrons also tunnel to the diagonals of a square lattice. However, beyond a bicritical point, the Majorana oscillations occur with a random period, characterized by an invariant fractal set.