Theoretical investigation of local electron temperature in quantum Hall systems

Abstract

The local electron temperature distribution is calculated considering a two dimensional electron system in the integer quantum Hall regime in presence of disorder and uniform perpendicular magnetic fields. We solve thermal-hydrodynamical equations to obtain the spatial distribution of the local electron temperature in the linear-response regime. It is observed that, the variations of electron temperature exhibit an antisymmetry regarding the center of the sample in accordance with the location of incompressible strips. To understand the effect of sample mobility on the local electron temperature we impose a disorder potential calculated within the screening theory. Here, long range potential fluctuations are assumed to simulate cumulative disorder potential depending on the impurity atoms. We observe that the local electron temperature strongly depends on the number of impurities in narrow samples. arXiv:1908.06791v1 [cond-mat.mes-hall]

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

“…In the previous work, we employed the theory of thermo-hydrodynamics described by equations of conservation with electron number and thermal ux densities in QHS to obtain the variations of the electron temperature in the linear-response regime [12]. We consider two hydrodynamic equations and assume that the electron number and the total energy of the system are conserved.…”

Theoretical investigation of thermostability of incompressible channels in quantum Hall states

“…The formation of alternating strips of compressible and incompressible strips [1][2][3] in a gate-confined two-dimensional electron gas (2DEG) is important for understanding the mechanism of many phenomena in the quantum Hall regime, such as the transport properties of the edge states [4][5][6][7], heat transport in quantum Hall effect (QHE) samples [8], spatial distribution of local electron temperature [9,10], quantum Hall breakdown (QHBD) [11][12][13], topologically protected states in the fractional QHE [14] and in novel topological states at zero magnetic field [15]. Recent experimental investigation of the microscopic origin using local probe techniques [16][17][18][19] makes it possible to image these strips.…”

“…The formation of alternating strips of compressible and incompressible strips [1][2][3] in a gate-confined two-dimensional electron gas (2DEG) is important for understanding the mechanism of many phenomena in the quantum Hall regime, such as the transport properties of the edge states [4][5][6][7], heat transport in quantum Hall effect (QHE) samples [8], spatial distribution of local electron temperature [9,10], quantum Hall breakdown (QHBD) [11][12][13],…”