218 research outputs found

    Anomalous Hall Effect in Ferromagnetic Semiconductors in the Hopping Transport Regime

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    We present a theory of the Anomalous Hall Effect (AHE) in ferromagnetic (Ga,Mn)As in the regime when conduction is due to phonon-assisted hopping of holes between localized states in the impurity band. We show that the microscopic origin of the anomalous Hall conductivity in this system can be attributed to a phase that a hole gains when hopping around closed-loop paths in the presence of spin-orbit interactions and background magnetization of the localized Mn moments. Mapping the problem to a random resistor network, we derive an analytic expression for the macroscopic anomalous Hall conductivity σxyAH\sigma_{xy}^{AH}. We show that σxyAH\sigma_{xy}^{AH} is proportional to the first derivative of the density of states ϱ(ϵ)\varrho(\epsilon) and thus can be expected to change sign as a function of impurity band filling. We also show that σxyAH\sigma_{xy}^{AH} depends on temperature as the longitudinal conductivity σxx\sigma_{xx} within logarithmic accuracy.Comment: 4 pages, 1 eps figure, final versio

    Current percolation and anisotropy in polycrystalline MgB2_2

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    The influence of anisotropy on the transport current in MgB2_2 polycrystalline bulk samples and wires is discussed. A model for the critical current density is proposed, which is based on anisotropic London theory, grain boundary pinning and percolation theory. The calculated currents agree convincingly with experimental data and the fit parameters, especially the anisotropy, obtained from percolation theory agree with experiment or theoretical predictions.Comment: 5 pages, accepted for publication in Physical Review Letters (http://prl.aps.org/

    Superfluid-insulator transition and BCS-BEC crossover in dirty ultracold Fermi gas

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    Superfluid-insulator transition in an ultracold Fermi gas in the external disorder potential of the amplitude V0V_0 is studied as a function of the concentration of the gas nn and magnetic field BB in the presence of the Feshbach resonance. We find the zero temperature phase diagrams in the plane (B,nB,n) at a given V0V_0 and in the plane (V0,n)(V_0, n) at a given BB. Our results for BEC side of the diagram are also valid for the superfluid-insulator transition in a Bose gas.Comment: Reference added, typos correcte

    Spin-Orbit Assisted Variable-Range Hopping in Strong Magnetic Fields

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    It is shown that in the presence of strong magnetic fields, spin-orbit scattering causes a sharp increase in the effective density of states in the variable-range hopping regime when temperature decreases. This effect leads to an exponential enhancement of the conductance above its value without spin-orbit scattering. Thus an experimental study of the hopping conductivity in a fixed, large magnetic field, is a sensitive tool to explore the spin-orbit scattering parameters in the strongly localized regime.Comment: 9 pages + 2 figures (enclosed), Revte
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