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On the Nature of Quantum Interference in the Variable Range Hopping Regime

Negative magnetoresistance (NMR) of bulk n-GaAs in the Variable Range Hopping regime is compared with current models, including two different quantum interference effects on hopping electrons. First, the increase of the localization length ξ with B is analysed under the assumption of quantum interferences along closed diffusion loops. Next, a detailed study of the NMR in the weak and intermediate field range reveals that interference actually occurs between electrons on direct percolation paths. The temperature dependence of the NMR seems consistent with the Coulomb interaction effect upon the dephasing length.