Exotic topological types of Majorana zero modes and their universal quantum manipulation

Y. X. Zhao and Z. D. Wang
Phys. Rev. B 90, 115158 – Published 30 September 2014

Abstract

From our general index theorem, which characterizes faithfully the topological intrinsic boundary-bulk correspondence of topological superconductors and insulators, we reveal rigorously that four topologically distinct types of Majorana zero modes can emerge at the ends of superconducting wires of various symmetry classes. More intriguingly, we establish three exotic one-dimensional models that have different types of topological charge of Majorana zero modes and disclose exactly the corresponding topological properties, whose distinct topological essences may be tested experimentally. Moreover, we also address their application in universal quantum manipulation, which is promising for realizing universal topological quantum computation.

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  • Received 14 February 2014
  • Revised 15 September 2014

DOI:https://doi.org/10.1103/PhysRevB.90.115158

©2014 American Physical Society

Authors & Affiliations

Y. X. Zhao* and Z. D. Wang

  • Department of Physics and Center of Theoretical and Computational Physics, The University of Hong Kong, Pokfulam Road, Hong Kong, China

  • *zhaoyx@hku.hk
  • zwang@hku.hk

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Issue

Vol. 90, Iss. 11 — 15 September 2014

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