Spin and orbital effects in a 2D electron gas in a random magnetic field

Abstract

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 $Q(\mathbf{r},{\mathbf{r}}^{\prime })$. 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 non-linear $\sigma$-model. The collision term consists of orbital, spin and effective spin-orbital parts. For a particular problem of a fixed direction of RMF, we show that additional soft excitations identified with spin modes should appear. Considering $\delta$% -correlated weak RMF and putting g=2 we find the transport time ${\tau }_{tr}$. This time is 2 times smaller than that for spinless particles.

arXiv comment9 pages, no figures

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Cited by in corpus (5)

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• Integration of Grassmann variables over invariant functions on flat superspaces
• Interaction effects in 2D electron gas in a random magnetic field: Implications for composite fermions and quantum critical point
• Phase diagram of weak-magnetic-field quantum Hall transition quantified from classical percolation