Transport properties in anisotropic cross junctions by tight-binding calculations

Magnetotransport properties in anisotropic cross junctions are numerically investigated. We examine a system in which a uniaxial anisotropy of a two-dimensional electron gas leads to nonidentical transmission probabilities of an electron into the left- and right-hand-side leads. The Hall resistance in the absence of magnetic field is, as a direct consequence, nonzero. Its polarity changes periodically according to the location of the Fermi level with respect to the thresholds of one-dimensional subbands in the leads. The finite zero-field Hall resistance is not annihilated by potential disorder and is only weakly dependent on the number of occupied subbands. The anisotropy is manifested also at the transitions between quantum Hall plateaus.