Temperature dependent weak field Hall resistance in 2D carrier systems

Physics – Condensed Matter – Disordered Systems and Neural Networks

Scientific paper

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5 pages, 2 figures

Scientific paper

10.1103/PhysRevLett.95.016401

Using the Drude-Boltzmann semiclassical transport theory, we calculate the weak-field Hall resistance of a two-dimensional system at low densities and temperatures, assuming carrier scattering by screened random charged impurity centers. The temperature dependent 2D Hall coefficient shows striking non-monotonicity in strongly screened systems, and in particular, we qualitatively explain the recent puzzling experimental observation of a decreasing Hall resistance with increasing temperature in a dilute 2D hole system. We predict that the impurity scattering limited Hall coefficient will eventually increase with temperature at higher temperatures.

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