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Effect of spin on electron motion in a random magnetic field

Kazutaka Takahashi·K. B. Efetov
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Abstract

We consider properties of a two-dimensional electron system in a random magnetic field. It is assumed that the magnetic field not only influences orbital electron motion but also acts on the electron spin. For calculations, we suggest a new trick replacing the initial Hamiltonian by a Dirac Hamiltonian. This allows us to do easily a perturbation theory and derive a supermatrix sigma model, which takes a form of the conventional sigma model with the unitary symmetry. Using this sigma model we calculate several correlation functions including a spin-spin correlation function. As compared to the model without spin, we get different expressions for the single-particle lifetime and the transport time. The diffusion constant turns out to be 2 times smaller than the one for spinless particles.

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Kazutaka Takahashi, K. B. Efetov. 2002-09-19. Effect of spin on electron motion in a random magnetic field. https://doi.org/10.1103/physrevb.66.165304

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