Current direction induced rectification effect on (integer) quantized   Hall plateaus
  Current polarization induced rectification of the quantized Hall plateaus (QHPs) is studied within a Hartree type mean field approximation for asymmetrically depleted samples. We first investigate the existence of the current carrying incompressible strips (ISs), by solving the self-consistent equations, and their influence on magneto-transport (MT) properties. Next, the widths of the ISs are examined in terms of the steepness of the confining potential profile considering gate defined Hall bars. The corresponding MT coefficients are calculated using a local Ohm's law for a large fixed current and are compared for symmetric and asymmetric depleted samples. We predict that, the extend of the QHPs strongly depend on the current polarization, in the out of linear response regime, when considering asymmetrically depleted samples. Our results, concerning the extend of the QHPs depending on the current polarization are in contrast to the ones of the conventional theories of the integer quantized Hall effect (IQHE). We propose certain experimental conditions to test our theoretical predictions at high mobility, narrow samples. 
A. Siddiki