Physics – Condensed Matter – Superconductivity
Scientific paper
2011-03-10
Physics
Condensed Matter
Superconductivity
18 pages, 9 figures
Scientific paper
We study the edge states for a quantum anomalous Hall system (QAHS) coupled with a spin-singlet s-wave superconductor through the proximity effect, and clarify the topological nature of them. When we consider a superconducting pair potential induced in the QAHS, there appear topological phases with nonzero Chern numbers, $i.e.$, ${\cal N}=1$ and ${\cal N}=2$, where Andreev bound states appear as chiral Majorana edge modes. We calculate the energy spectrum of the edge modes and the resulting local density of states. It is found that the degenerate chiral Majorana edge modes for ${\cal N}=2$ are lifted off by applying Zeeman magnetic field along the parallel to the interface or the shift of the chemical potential by doping. The degeneracy of the chiral Majorana edge modes and its lifting are explained by two different winding numbers defined at the time-reversal invariant point of the edge momentum.
II Akihiro
Sato* Masatoshi
Tanaka Yukio
Yada Keiji
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