Breathing mode in open-orbit magnetotransport
A magnetic lens with a quantum mechanical focal length
D. O. Oriekhov (Universiteit Leiden)
T. T. Osterholt (Universiteit Leiden)
T. Vakhtel (Universiteit Leiden)
AR Akhmerov (Kavli institute of nanoscience Delft, TU Delft - QN/Akhmerov Group)
C.W.J. Beenakker (Universiteit Leiden)
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Abstract
We consider the propagation of electrons in a lattice with an anisotropic dispersion in the x-y plane (lattice constant a), such that it supports open orbits along the x axis in an out-of-plane magnetic field B. We show that a point source excites a "breathing mode,"a state that periodically spreads out and refocuses after having propagated over a distance ?=(eaB/h)-1 in the x direction. Unlike known magnetic focusing effects, governed by the classical cyclotron radius, this is an intrinsically quantum mechanical effect with a focal length.