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]