Nonadiabatic scattering of a classical particle in an inhomogeneous magnetic field

F. Evers, A. D. Mirlin, D. G. Polyakov, and P. Wölfle
Phys. Rev. B 58, 15321 – Published 15 December 1998
PDFExport Citation

Abstract

We study the violation of the adiabaticity of the electron dynamics in a slowly varying magnetic field. We formulate and solve exactly a nonadiabatic scattering problem. In particular, we consider scattering on a magnetic field inhomogeneity that models scatterers in the composite-fermion theory of the half-filled Landau level. The calculated nonadiabatic shift of the guiding center is exponentially small and exhibits an oscillatory behavior related to the “self-commensurability” of the drifting cyclotron orbit. The analytical results are complemented with a numerical simulation.

  • Received 14 July 1998

DOI:https://doi.org/10.1103/PhysRevB.58.15321

©1998 American Physical Society

Authors & Affiliations

F. Evers, A. D. Mirlin*, D. G. Polyakov, and P. Wölfle

  • Institut für Theorie der Kondensierten Materie, Universität Karlsruhe, 76128 Karlsruhe, Germany

  • *Also at St. Petersburg Nuclear Physics Institute, 188350 St. Petersburg, Russia.
  • Also at A.F. Ioffe Physico-Technical Institute, 194021 St. Petersburg, Russia.

References (Subscription Required)

Click to Expand
Issue

Vol. 58, Iss. 23 — 15 December 1998

Reuse & Permissions
Access Options

Authorization Required


×
×

Images

×

Sign up to receive regular email alerts from Physical Review B

Log In

Cancel
×

Search


Article Lookup

Paste a citation or DOI

Enter a citation
×