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Theory of hopping magnetoresistance induced by Zeeman splitting | | Penny Clarke
; L. I. Glazman
; K. A. Matveev
; | | Date: |
9 Dec 1994 | | Subject: | cond-mat | | Abstract: | We present a study of hopping conductivity for a system of sites which can be occupied by more than one electron. At a moderate on-site Coulomb repulsion, the coexistence of sites with occupation numbers 0, 1, and 2 results in an exponential dependence of the Mott conductivity upon Zeeman splitting $mu_BH$. We show that the conductivity behaves as $lnsigma= (T/T_0)^{1/4}F(x)$, where $F$ is a universal scaling function of $x=mu_BH/T(T_0/T)^{1/4}$. We find $F(x)$ analytically at weak fields, $x ll 1$, using a perturbative approach. Above some threshold $x_{
m th}$, the function $F(x)$ attains a constant value, which is also found analytically. The full shape of the scaling function is determined numerically, from a simulation of the corresponding ``two color’’ dimensionless percolation problem. In addition, we develop an approximate method which enables us to solve this percolation problem analytically at any magnetic field. This method gives a satisfactory extrapolation of the function $F(x)$ between its two limiting forms. | | Source: | arXiv, cond-mat/9501024 | | Services: | Forum | Review | PDF | Favorites | |
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