Breathing mode in open-orbit magnetotransport

A magnetic lens with a quantum mechanical focal length

Journal article (2022)

Authors

D. O. Oriekhov Universiteit Leiden
T. T. Osterholt Universiteit Leiden
T. Vakhtel Universiteit Leiden
A.R. Akhmerov QN/Akhmerov Group - AS , Kavli institute of nanoscience Delft
CWJ Beenakker Universiteit Leiden
Research Group
BUS/Quantum Delft (QuTech Advanced Research Centre) (TU Delft)
Copyright: © 2022 D. O. Oriekhov, T. T. Osterholt, T. Vakhtel, A.R. Akhmerov, C. W.J. Beenakker
DOI: https://doi.org/10.1103/PhysRevB.106.235413
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Published Date

2022

Language

English

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Faculty

QuTech Advanced Research Centre

Department

Business Development

Research Group

BUS/Quantum Delft

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.