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  • Hall effect in two-dimensional systems with hopping transport and strong disorder
    Shumilin, Andrei ; Stepina, N. P.
    We reconsider the theory of Hall effect in the systems with hopping conduction. The purpose of this study is to compare the percolation approach based on the optimal triad model with numerical ... simulations and recent experimental results. We show that, in the nearest-neighbor hopping regime, the results of the percolation theory agree to the simulation. However, in the variable range hopping (VRH) regime, the optimal triad model fails to describe the numerical results. It is related to the extremely small probability to find the optimal triad of sites in the percolation cluster in the VRH regime. The contribution of these triads to the Hall effect appears to be small. We describe the Hall mobility in the VRH regime with the empirical law obtained from the numerical results. The law is in agreement with our recent experimental data in two-dimensional quantum dot arrays with the hopping transport
    Vir: Physical review. B. [Elektronski vir]. - ISSN 2469-9969 (Vol. 98, Art. 115303, 2018, 13 str.)
    Vrsta gradiva - e-članek ; neleposlovje za odrasle
    Leto - 2018
    Jezik - angleški
    COBISS.SI-ID - 147542275

    Povezava(-e):

    https://journals.aps.org/prb/abstract/10.1103/PhysRevB.98.115303
    DOI

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