2004/06/07 by K. B. Efetov, V. R. Kogan
Physics and Astronomy · #Atomic and Subatomic Physics Research #Cold Atom Physics and Bose-Einstein Condensates #Quantum and electron transport phenomena #cond-mat.dis-nn #cond-mat.mes-hall
paper · pdf · doi:10.1103/physrevb.70.195326
published as Phys. Rev. B 70, 195326 (2004). · 9 pages, no figures
arxiv created 2004/06/07 · openalex publication_date 2004/11/18 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
Using the method of superbosonization we consider a model of a random magnetic field (RMF) acting on both orbital motion and spin of electrons in two dimensions. The method is based on exact integration over one particle degrees of freedom and reduction of the problem to a functional integral over supermatrices Q(r,r^\ensuremath'). We consider a general case when both the direction of the RMF and the g factor of the Zeeman splitting are arbitrary. Integrating out fast variations of Q we come to a standard collisional unitary nonlinear \ensuremathσ model. The collision term consists of purely orbital, spin, and some mixed parts. For a particular problem of a fixed direction of RMF, we show that additional soft excitations identified with spin modes should appear. Considering \ensuremathδ-correlated weak RMF and putting g=2 we find the transport time \ensuremathτtr. This time is two times smaller than that for spinless particles.