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Research note 11/16/10

2010年11月17日 留下评论 Go to comments
  1. Surface of 3D topological insulator+s-wave superconductor.  Time-reversal invariant. In the original proposal by Fu and Kane, the induced pairing is assumed to have only s-wave component. In fact, there is also p-wave component. Later it has been shown that even in the presence of p-wave pairing, non-Abelian topological order still persists. See Phys. Rev. B 82, 144505 (2010)
  2. 2D Spin-orbit coupled semiconductor+Zeeman field in z direction+s-wave SC(proposed by Sau et. al.). The same question can be asked that what p-wave pairing does to the non-Abelian topological order. The answer is still that it doesn’t do anything. In a nice paper Phys. Rev. B 82, 184525(2010) by Ghosh et. al., it is shown that the Z_2 invariant that characterize the non-Abelian topological order(essentially the parity of Chern number) only depends on Hamiltonian at k=0 where triplet pairing vanishes.
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