Theoretical Investigation of Local Electron Temperature in Quantum Hall Systems

In this work we solve thermo-hydrodynamical equations considering a two dimensional electron system in the integer quantum Hall regime, to calculate the spatial distribution of the local electron temperature. We start from the self-consistently calculated electrostatic and electrochemical potentials in equilibrium. Next, by imposing an external current, we investigate the variations of the electron temperature in the linear-response regime. Here a local relation between the electron density and conductivity tensor elements is assumed. Following the Ohm's law we obtain local current densities and by implementing the results of the thermo-hydrodynamical theory, calculate the local electron temperature. We observe that the local electron temperature strongly depends on the formation of compressible and incompressible strips.Comment: 10 pages, 4 figure

The Effect of the Electron Temperature on Incompressible Strips in Quantum Hall Regime

We used a theory of thermo-hydrodynamics in quantum Hall system observed on a two-dimensional system in high magnetic fields at low temperatures, to investigate the electron temperature in the linear response regime. The variation of electron temperature exhibits an antisymmetric distribution of the incompressible strips. According to this result, we obtain effects of the electron temperature on the current density distribution using a Thomas-Fermi-Poisson approximation. We observe that incompressible strips change with increasing and/or decreasing the electron temperature with regard to the lattice temperature