Derivation of an electronic equivalent of QHE devices

Models of quantum Hall effect (QHE) devices described by an equivalent circ uit are used both to analyze measurement systems and to study QHE physics. Although the most widely used equivalent is the one proposed by Ricketts an d Kemeny, various other circuits have been published to suit to different n eeds in QHE analysis, including a network with only resistors and unity-gai n amplifiers. In the following we discuss a general approach to the analysi s of the electrical behavior of QHE devices, and show that they can be clas sified as gyrators. Gyrators are nonreciprocal network elements whose prope rties are well known from the theory of electrical network. They can be reg arded as generalized equivalents of Hall effect devices, thus setting a gen eral framework for the study of the electrical behavior of QHE and the deri vation of equivalent circuits. Through the application of this technique, a n electronic circuit capable of simulating a QHE device with nonnull longit udinal resistance is derived.