Physics at Virginia

"Non-abelian statistics of fractionalized Majorana Fermions"

Netanel Lindner , Caltech
[Host: Israel Klich]
Edge states of topological insulators can be gapped out by introducing a coupling to a superconductor or by breaking time reversal symmetry. The interface between these two types of gapped regions hosts a Majorana zero mode. Here, we extend this idea to the case of edge states of fractional quantum Hall states. We show that as more interfaces are introduced, the ground state degeneracy grows with a quantum dimension of a square root of an even integer, corresponding to a new family of non-abelian anyons. Topologically protected braiding of two anyons can be achieved by a sequence of operations on the ground state manifold. We show that the unitary matrices representing these operations form representations of the braid group which are richer than that of Ising anyons. We discuss possible realizations of these ideas in experimentally accessible solid state systems.
Condensed Matter Seminar
Thursday, November 8, 2012
3:30 PM
Physics Building, Room 204
Note special room.

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