Effect of spin on electron motion in a random magnetic field
Abstract
We consider properties of a twodimensional 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 the trick of replacing the initial Hamiltonian by a Dirac Hamiltonian. This allows us to do easily a perturbation theory and derive a supermatrix σ model, which takes a form of the conventional σ model with the unitary symmetry. Using this σ model we calculate several correlation functions including a spinspin correlation function. As compared to the model without spin, we get different expressions for the singleparticle lifetime and the transport time. The diffusion constant turns out to be 2 times smaller than the one for spinless particles.
 Publication:

Physical Review B
 Pub Date:
 October 2002
 DOI:
 10.1103/PhysRevB.66.165304
 arXiv:
 arXiv:condmat/0205164
 Bibcode:
 2002PhRvB..66p5304T
 Keywords:

 PA.CS.:7;
 32.3.b7;
 21.5R.n7;
 Condensed Matter  Mesoscale and Nanoscale Physics
 EPrint:
 7 pages, revtex, result of the spin correlation function corrected, Appendix added