Top Reasons to Love the Kitaev Honeycomb Model

  • Exactly Solvable
  • Non-Abelian Anyons
    • Topological Quantum Computation?
  • Simple lattice shape
    • same as graphene

But difficult couplings

  • 2D material (spin statistics theorem)
  • degenerate ground state
  • band gap

Conditions for Non-Abelian Quantum Computation

N. Levy, S. A. Burke, K. L. Meaker, M. Panlasigui,  A. Zettl, F. Guinea, A. H. Castro Neto, M. F. Crommie  2010

Black Board Time!

J=[1,1,1]

J=[1,.5,.5]

J=[.5,1,.5]

J=[.25,1,.5]

J=[1,1,.5]

Group Meeting Feb 3

By Christina Lee

Group Meeting Feb 3

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