TY - JOUR

T1 - Angle dependence of Andreev scattering at semiconductor-superconductor interfaces

A1 - Mortensen,Asger

A1 - Flensberg,Karsten

A1 - Jauho,Antti-Pekka

AU - Mortensen,Asger

AU - Flensberg,Karsten

AU - Jauho,Antti-Pekka

PY - 1999

Y1 - 1999

N2 - We study the angle dependence of the Andreev scattering at a semiconductor-superconductor interface, generalizing the one-dimensional theory of Blonder, Tinkham, and Klapwijk (BTK),An increase of the momentum parallel to the interface leads to suppression of the probability of Andreev reflection and increase of the probability of normal reflection. We show that in the presence of a Fermi velocity mismatch between the semiconductor and the superconductor the angles of incidence and transmission are related according to the well-known Snell's law in optics. As a consequence there is a critical angle of incidence above which only normal reflection exists. For two- and three-dimensional interfaces a lower excess current compared to ballistic transport with perpendicular incidence is found. Thus, the one-dimensional BTK model overestimates the barrier strength for two- and three-dimensional interfaces. [S0163-1829(99)01615-X].

AB - We study the angle dependence of the Andreev scattering at a semiconductor-superconductor interface, generalizing the one-dimensional theory of Blonder, Tinkham, and Klapwijk (BTK),An increase of the momentum parallel to the interface leads to suppression of the probability of Andreev reflection and increase of the probability of normal reflection. We show that in the presence of a Fermi velocity mismatch between the semiconductor and the superconductor the angles of incidence and transmission are related according to the well-known Snell's law in optics. As a consequence there is a critical angle of incidence above which only normal reflection exists. For two- and three-dimensional interfaces a lower excess current compared to ballistic transport with perpendicular incidence is found. Thus, the one-dimensional BTK model overestimates the barrier strength for two- and three-dimensional interfaces. [S0163-1829(99)01615-X].

KW - METAL

KW - TRANSITION

KW - ENERGY

KW - TINKHAM

KW - REFLECTION

KW - CURRENTS

KW - BLONDER

KW - BOUNDARIES

KW - POINT-CONTACT

UR - http://link.aps.org/doi/10.1103/PhysRevB.59.10176

U2 - 10.1103/PhysRevB.59.10176

DO - 10.1103/PhysRevB.59.10176

JO - Physical Review B Condensed Matter

JF - Physical Review B Condensed Matter

SN - 0163-1829

IS - 15

VL - 59

SP - 10176

EP - 10182

ER -