Manipulating Edge Majorana Fermions in Vortex State

Abstract

A vortex in a model spinless px+ipy superconductor induces two Majorana fermions (MFs), one in the core and the other at the sample edge. In the present work, we show that edge MF can be generated, fused, transported, and braided easily by tuning gate voltages at point-like constriction junctions. Solving the time-dependent Bogoliubov-de Gennes equation, we demonstrate that the braiding of edge MFs obeys the non-Abelian statistics. The present setup is therefore a promising implementation for topological quantum computation, and has the advantage of easy manipulation and simple device structure.

7 pages, 6 figures

References in corpus (11)

• Topological insulators and superconductors
• Non-Abelian Anyons and Topological Quantum Computation
• Superconducting proximity effect and Majorana fermions at the surface of a topological insulator
• Majorana Fermions and a Topological Phase Transition in Semiconductor-Superconductor Heterostructures
• Quantized Anomalous Hall Effect in Magnetic Topological Insulators
• Non-Abelian statistics and topological quantum information processing in 1D wire networks
• Non-Abelian quantum order in spin-orbit-coupled semiconductors: The search for topological Majorana particles in solid state systems
• Observation of half-height magnetization steps in Sr2RuO4
• An Index Theorem for the Majorana Zero Modes in Chiral P-Wave Superconductors
• Observing Majorana bound states of Josephson vortices in topological superconductors
• Robustness of Majorana Modes and Minigaps in a Spin-Orbit-Coupled Semiconductor-Superconductor Heterostructure