Tuesday, August 28, 2012

1208.5450 (Ran Wei et al.)

Majorana fermions in one-dimensional spin-orbit coupled Fermi gases    [PDF]

Ran Wei, Erich J. Mueller
We theoretically study trapped one-dimensional Fermi gases in the presence of spin-orbit coupling induced by Raman lasers. The gas changes from a conventional (non-topological) superconductor to a topological superconductor as one increases the intensity of the Raman lasers above a critical chemical-potential dependent value. Solving the Bogoliubov-de Gennes equations self-consistently, we calculate the density of states in real and momentum space at finite temperatures. We study Majorana fermions (MFs) which appear at the boundaries between topologically trivial and topologically non-trivial regions. We linearize the trap near the location of a MF, finding an analytic expression for the localized MF wavefunction and the gap between the MF state and other edge states.
View original: http://arxiv.org/abs/1208.5450

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