Practical implementations of parafermions and braiding of non-Abelian anyons
Abstract
Title: Practical implementations of parafermions and braiding of non-Abelian anyonsObjective:The overall objectives of the proposed research are:?- Identify realistic systems and conditions for the realization of parafermions;?- Identify realistic settings and conditions to perform the braiding of non-Abelian anyons.Approach:PI will carry out theoretical calculations, both numeriucal and analytical, in the following area:1. Develop the theoretical treatment of the proximity effect between the edge states of a quantum hall (QH) and quantum anomalous Hall (QAH) system and: superconductors, ferromagnets, and insulators with spin-orbit coupling;?2. Identify for realistic devices based on semiconductor quantum wells, graphene, and magnetic topological insulators, in proximity of superconductors and ferromagnetic insulators (or insulators with spin-orbit coupling), the conditions necessary for therealization of parafermions;?3. Theoretically identify the conditions necessary for the realization of the braiding of non-Abelian anyons in networks of wires and magnetic chains, taking into account the effects of disorder, unavoidable in real systems.SOW:Research tasks include,Task 1: Proximity effects for QH edge modes1.1 Edege modes of QH states in semiconductor quantum wells1.2.Edge modes in QH states in graphene1.3.Edge modes in QAHTask 2: Braiding of Majoranas2.1. 2D networks of 1D wires2.2. Networks of magnetic chains on superconductorsMerits and Relevance:This project is synergistic to, and provides theoretical support, several experimental efforts in topological physics, including a FY15 BRC topic focused on Majorana Fermions.
Document Details
- Document Type
- DoD Grant Award
- Publication Date
- Nov 23, 2016
- Source ID
- N000141613158
Entities
People
- Enrico Rossi
Organizations
- College of William & Mary
- Office of Naval Research
- United States Navy