Andreev reflection and cyclotron motion at superconductor -- normal-metal interfaces

Details Andreev reflection and cyclotron motion at superconductor -- normal-metal interfaces Andreev reflection and cyclotron motion at superconductor -- normal-metal interfaces

2005-04-20

arxiv.org/abs/cond-mat/0504514v1

Phys. Rev. B 72, 054518 (2005)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

8 pages, 6 figures

Scientific paper

10.1103/PhysRevB.72.054518

We investigate Andreev reflection at the interface between a superconductor and a two--dimensional electron system (2DES) in an external magnetic field such that cyclotron motion is important in the latter. A finite Zeeman splitting in the 2DES and the presence of diamagnetic screening currents in the superconductor are incorporated into a microscopic theory of Andreev edge states, which is based on the Bogoliubov--de Gennes formalism. The Andreev--reflection contribution to the interface conductance is calculated. The effect of Zeeman splitting is most visible as a double--step feature in the conductance through clean interfaces. Due to a screening current, conductance steps are shifted to larger filling factors and the formation of Andreev edge states is suppressed below a critical filling factor.

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