Physics – Condensed Matter
Scientific paper
1998-07-14
Physics
Condensed Matter
4 pages REVTEX, 3 figures included
Scientific paper
10.1103/PhysRevB.58.15321
We study the violation of the adiabaticity of the electron dynamics in a slowly varying magnetic field. We formulate and solve exactly a non-adiabatic scattering problem. In particular, we consider scattering on a magnetic field inhomogeneity which models scatterers in the composite-fermion theory of the half-filled Landau level. The calculated non-adiabatic 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.
Evers Ferdinand
Mirlin Alexander D.
Polyakov D. G.
Woelfle Peter
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