Ballistic electron motion in a random magnetic field

Abstract

Using a new scheme of the derivation of the non-linear $\sigma$-model we consider the electron motion in a random magnetic field (RMF) in two dimensions. The derivation is based on writing quasiclassical equations and representing their solutions in terms of a functional integral over supermatrices $Q$ with the constraint $Q^2=1$. Contrary to the standard scheme, neither singling out slow modes nor saddle-point approximation are used. The $\sigma$-model obtained is applicable at the length scale down to the electron wavelength. We show that this model differs from the model with a random potential (RP).However, after averaging over fluctuations in the Lyapunov region the standard $\sigma$-model is obtained leading to the conventional localization behavior.

10 pages, no figures, to be submitted in PRB v2: Section IV is removed

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Cited by in corpus (4)

• Strong suppression of weak (anti)localization in graphene
• Charge and spin Hall conductivity in metallic graphene
• Spin and orbital effects in a 2D electron gas in a random magnetic field
• Ballistic transport in random magnetic fields with anisotropic long-ranged correlations