Classical Hall transition and magnetoresistance in strongly inhomogeneous planar systems

• Published in: Physics letters. A 2005-09, Vol.344 (2), p.280-290
• Main Author: Bulgadaev, S.A.
• Format: Article
• Language: English
• ISSN: 0375-9601; 1873-2429
• DOI: 10.1016/j.physleta.2005.06.049

The magneto-transport properties of planar and layered strongly inhomogeneous two-phase systems are investigated, using the explicit expressions for the effective conductivities and resistivities obtained by the exact dual transformation, connecting effective conductivities of in-plane isotropic two-phase 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 x-dependence of the Hall constant R H ( 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 H 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.