The electrical and thermal breakdown of the integer quantized hall effect: a microscopic self-consistent investigation.

In this thesis, spatial distributions of the electron temperature were investigated employing thermohydrodynamic theory in quantum Hall effect observed in two dimensional electron systems subjected to low temperatures and strong magnetic fields. This theory was described by equations of conservation with number and thermal flux densities.In the linear-response regime, spatial distributions of the electron temperature related to the incompressible strips were calculated. The importance of the electron temperature was shown in various phenomena, such as breakdown of the quantum Hall effect. After calculating the electron temperature, the effects of the electron temperature deviation on distributions of the current density were discussed.In the second part of the thesis, the changes of the incompressible strips with the deviation of the electron temperature from the lattice temperature were presented. Position dependent of the electrostatic potential and electron density were calculated with the electron temperature using the self-consistent Thomas-Fermi-Poisson approximation. Also electrochemical potential and current density were obtained from a local version of Ohm?s law. These results were compared with those obtained by the lattice temperature.