Description of idea, loop gas.[1,2,3]
Topological order and fractionalization [1,2,3]
Kitaev implementation [1,2,3]
Quantum dimers, RVB phases [4,5]
Topological phases in real life: quantum Hall states, Rotating
BECs [10,11]
Experimental realizations of Z2 liquids (high-Tc, frustrated
magnets) [6,7]
Beyond Z2: d-isotopies. Discuss Abelian vs non-Abelian
statistics [9]
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[ 5] R. Moessner and S. L. Sondhi, Resonating Valence Bond Liquid
Physics On the Traingular Lattice, Phys. Rev. Lett. 86, 1881
(2001)
[ 6] Bonn, Wynn, Gardner, et al., Nature 414, 887 (2001)
[ 7] Coldea, Tennant, Tyczynski, Phys. Rev. B 68, 134424 (2003)
Extra:
[ 8] L. B. Ioffe et al., Nature 415, 503 (2002)
[ 9] M. Freedman et al., Non-Abelian topological phases in an
extended Hubbard model, cond-mat/0309120, (2003)
[10] D. Arovas and J. R. Schrieffer and F. Wilczek, Fractional
Statistics and the Quantum Hall Effect, Phys. Rev. Lett.
53, 722 (1984)
[11] Cooper, N. R.; Wilkin, N. K.; Gunn, J. M., Quantum Phases
of Vortices in Rotating Bose-Einstein Condensates, Phys.
Rev. Lett. 87, 120405 (2001)
[12] J. Preskill, "Quantum Computation", Chapter 9: "Topological
Quantum Computation". On-line lecture notes:
www.theory.caltech.edu/people/preskill/ph229
[13] Phys. Rev. B 71, 224109 (2005)
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