BooksStandalone TitlesCollected Volumepp. 315–350

Tunneling effect induced by a curved magnetic edge

  • Søren Fournais

    University of Aarhus, Denmark
  • Bernard Helffer

    Université de Nantes, France
  • Ayman Kachmar

    Lebanese University, Nabatieh, Lebanon
Tunneling effect induced by a curved magnetic edge cover
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Abstract

Experimentally observed magnetic fields with nanoscale variations are theoretically modeled by a piecewise constant function with jump discontinuity along a smooth curve, the magnetic edge. Assuming the edge is a closed curve with an axis of symmetry and the field is sign changing and with exactly two distinct values, we prove that semi-classical tunneling occurs and calculate the magnitude of this tunneling effect.