Abstract
We present model calculations which elucidate the role of electron-phonon interaction in the formation of quantized Hall plateaus. In particular, we analyse the so-called compensating current, which plays the crucial part in the Hall plateau formation. Typically this current is caused by electron scattering through a disorder potential, however, a small fraction can also arise from scattering with phonons. We demonstrate that in special situations even the entire compensating current, i.e., the entire Hall plateau is generated by scattering with phonons. Phonon induced Hall plateaus coexist with dissipation. This shows, that the absence of dissipation is, in principle, not indispensable for the appearance of the quantum Hall effect.
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