Paraxial propagation of a quantum charge in a random magnetic field

Details Paraxial propagation of a quantum charge in a random magnetic field Paraxial propagation of a quantum charge in a random magnetic field

2000-02-26

arxiv.org/abs/cond-mat/0002417v2

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

Figures and references added. Many typos corrected. RevTex, 25 pages, 9 figures

Scientific paper

10.1103/PhysRevB.62.3196

The paraxial (parabolic) theory of a near forward scattering of a quantum charged particle by a static magnetic field is presented. From the paraxial solution to the Aharonov-Bohm scattering problem the transverse transfered momentum (the Lorentz force) is found. Multiple magnetic scattering is considered for two models: (i) Gaussian $\delta$ -correlated random magnetic field; (ii) a random array of the Aharonov-Bohm magnetic flux line. The paraxial gauge-invariant two-particle Green function averaged with respect to the random field is found by an exact evaluation of the Feynman integral. It is shown that in spite of the anomalous character of the forward scattering, the transport properties can be described by the Boltzmann equation. The Landau quantization in the field of the Aharonov-Bohm lines is discussed.

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