Proximity Effects of Superconductivity and Antiferromagnetism in a Nanowire

In this paper, we theoretically study the proximity effects of s-wave superconductivity(SC) and antiferromagnetism(AFM) in a nanowire. For the half-filling case, it was found that the Andreev bound states form near the boundary between the AFM and the SC which are accompanied by the strongly localized p-wave pairing. These in-gap states remain when the system is slightly doped. For the electron or hole doped system, they merge into the upper or the lower antiferromagnetic bands gradually with the increase of doping, respectively.