Geometry effects in the magnetoconductance of normal and Andreev Sinai billiards

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Abstract

We study the transport properties of low-energy (quasi)particles ballistically traversing normal and Andreev two-dimensional open cavities with a Sinai-billiard shape. We consider four different geometrical setups and focus on the dependence of transport on the strength of an applied magnetic field. By solving the classical equations of motion for each setup we calculate the magnetoconductance in terms of transmission and reflection coefficients for both the normal and Andreev versions of the billiard, calculating in the latter the critical field value above which the outgoing current of holes becomes zero.
Original languageEnglish
Article number148
JournalThe European Physical Journal B
Volume89
Early online date13 Jun 2016
DOIs
Publication statusPublished - Jun 2016

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Transport properties
Equations of motion
Magnetic fields
Geometry
elementary excitations
geometry
equations of motion
transport properties
reflectance
cavities
coefficients
magnetic fields
energy

Bibliographical note

Due to publisher policy, the full text is unavailable on the repository until the 13th of June 2017.
The final publication is available at Springer via http://dx.doi.org/10.1140/epjb/e2016-70229-9

Keywords

  • Mesoscopic and Nanoscale Systems

Cite this

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title = "Geometry effects in the magnetoconductance of normal and Andreev Sinai billiards",
abstract = "We study the transport properties of low-energy (quasi)particles ballistically traversing normal and Andreev two-dimensional open cavities with a Sinai-billiard shape. We consider four different geometrical setups and focus on the dependence of transport on the strength of an applied magnetic field. By solving the classical equations of motion for each setup we calculate the magnetoconductance in terms of transmission and reflection coefficients for both the normal and Andreev versions of the billiard, calculating in the latter the critical field value above which the outgoing current of holes becomes zero.",
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N2 - We study the transport properties of low-energy (quasi)particles ballistically traversing normal and Andreev two-dimensional open cavities with a Sinai-billiard shape. We consider four different geometrical setups and focus on the dependence of transport on the strength of an applied magnetic field. By solving the classical equations of motion for each setup we calculate the magnetoconductance in terms of transmission and reflection coefficients for both the normal and Andreev versions of the billiard, calculating in the latter the critical field value above which the outgoing current of holes becomes zero.

AB - We study the transport properties of low-energy (quasi)particles ballistically traversing normal and Andreev two-dimensional open cavities with a Sinai-billiard shape. We consider four different geometrical setups and focus on the dependence of transport on the strength of an applied magnetic field. By solving the classical equations of motion for each setup we calculate the magnetoconductance in terms of transmission and reflection coefficients for both the normal and Andreev versions of the billiard, calculating in the latter the critical field value above which the outgoing current of holes becomes zero.

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JO - The European Physical Journal B - Condensed Matter and Complex Systems

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