Quantum oscillations in the magnetotransport of a finite two-dimensional Anderson model

A formulation of the Hall effect in a strongly disordered system is presented, employing a Landauer-type picture. With use of this expression, the Hall effect and the magnetoconductance of a small, strongly disordered system of the type used by Nguyen, Spivak, and Shklovskii are analyzed, and a condition is derived for quantized values of the former. © 1986 The American Physical Society.