Classical Hall transition and magnetoresistance in strongly inhomogeneous planar systems [rapid communication]
Abstract
The magnetotransport properties of planar and layered strongly inhomogeneous twophase systems are investigated, using the explicit expressions for the effective conductivities and resistivities obtained by the exact dual transformation, connecting effective conductivities of inplane isotropic twophase systems with and without magnetic field. These expressions allow to describe the effective resistivity of various inhomogeneous media at arbitrary concentrations x and magnetic fields H. The corresponding plots of the xdependence of the Hall constant R_{}(x,H) and the magnetoresistance R(x,H) are constructed for various values of magnetic field at some values of inhomogeneity parameters. These plots for strongly inhomogeneous systems at high magnetic fields show a sharp transition between partial Hall resistivities (or Hall conductivities) with different dependencies of R_{} on the phase concentrations. It is shown that there is a strong correlation between large linear magnetoresistance effect and this sharp Hall transition. Both these effects are a consequence of the exact duality symmetry. A possible physical explanation of these effects and their correlation is proposed.
 Publication:

Physics Letters A
 Pub Date:
 September 2005
 DOI:
 10.1016/j.physleta.2005.06.049
 arXiv:
 arXiv:condmat/0506267
 Bibcode:
 2005PhLA..344..280B
 Keywords:

 75.70.Ak;
 72.80.Ng;
 72.80.Tm;
 73.61.r;
 Magnetic properties of monolayers and thin films;
 Disordered solids;
 Composite materials;
 Electrical properties of specific thin films;
 Condensed Matter  Disordered Systems and Neural Networks;
 Condensed Matter  Statistical Mechanics
 EPrint:
 15 pages, 4 figures, Latex2e