Tuesday, February 19, 2013

1302.4341 (Takeshi Mizushima et al.)

Topological phases of quasi-one-dimensional fermionic atoms with a
synthetic gauge field
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Takeshi Mizushima, Masatoshi Sato
We theoretically investigate the effect of intertube tunneling in topological superfluid phases of a quasi-one-dimensional Fermi gas with a Rashba-type spin-orbit interaction. It is shown that the effective Hamiltonian is analogous to that of a nanowire topological superconductor with multibands. Using a hidden mirror symmetry in the system, we introduce a new topological number that ensures the existence of non-Abelian Majorana zero modes even in the presence of intertube tunneling. It is demonstrated from the full numerical calculation of self-consistent equations that some of Majorana modes survive against the intertube tunneling, when the number of one-dimensional tubes is odd in the y-direction. We also discuss a generalization of our consideration to nanowire topological superconductors.
View original: http://arxiv.org/abs/1302.4341

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