Wednesday, April 4, 2012

1204.0570 (Xiong-Jun Liu)

Andreev Bound states in One Dimensional Topological Superconductor    [PDF]

Xiong-Jun Liu
We study the Andreev bound states (ABSs) at Josephson junction of the one dimensional topological superconductors with broken spatial inversion symmetry (SIS). Despite the absence of the inversion symmetry, we show a hidden symmetry for the Bogoliubov de Gennes equations around fermi points in addition to the particle-hole symmetry. The hidden symmetry protects that the ABSs carry charges, with the charge value solely depending on fermi velocities. Specifically, when SIS is present, the ABSs are charge neutral, similar as the Majorana fermions. We demonstrate that in the tunneling transport spectroscopy the charge of the ABSs can be measured by the resonant differential tunneling conductance.
View original: http://arxiv.org/abs/1204.0570

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