Topological superconductivity in helical crystals

Abstract

We study superconductivity and surface Andreev bound states in helical crystals. We consider the interlayer pairings along the helical hopping and investigate the surface local density of states on the (001) and zigzag surfaces for all the possible irreducible representations. There are three and four irreducible representations exhibiting the zero energy peaks in the local density of states at the (001) and zigzag surfaces of helical lattices, respectively. By calculating the one dimensional winging number, we show that these appearances of the zero energy peaks stem from the surface Andreev bound states.

References in corpus (7)

• Introduction to topological superconductivity and Majorana fermions
• Topological surface states in nodal superconductors
• Current-induced Orbital and Spin Magnetizations in Crystals with Helical Structure
• Majorana nanowires for topological quantum computation
• Band splitting and Weyl nodes in trigonal tellurium studied by angle-resolved photoemission spectroscopy and density functional theory
• Detection of chirality-induced spin polarization over millimeters in polycrystalline bulk samples of chiral disilicides NbSi${}_2$ and TaSi${}_2$
• Unconventional superconductivity induced in Nb films by adsorbed chiral molecules