Topological qubits in graphenelike systems

Luiz Santos, Shinsei Ryu, Claudio Chamon, Christopher Mudry

Research output: Contribution to journalArticlepeer-review

14 Scopus citations

Abstract

The fermion-doubling problem can be an obstacle to getting half a qubit in two-dimensional fermionic tight-binding models in the form of Majorana zero modes bound to the core of superconducting vortices. We argue that the number of such Majorana zero modes is determined by a Z2 × Z2 topological charge for a family of two-dimensional fermionic tight-binding models ranging from noncentrosymmetric materials to graphene. This charge depends on the dimension of the representation (i.e., the number of species of Dirac fermions-where the doubling problem enters) and the parity of the Chern number induced by breaking time-reversal symmetry. We show that in graphene there are as many as ten order parameters that can be used in groups of four to change the topological number from even to odd.

Original languageEnglish (US)
Article number165101
JournalPhysical Review B - Condensed Matter and Materials Physics
Volume82
Issue number16
DOIs
StatePublished - Oct 1 2010
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics

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