Thermohydrodynamics in Quantum Hall Systems

Abstract

A theory of thermohydrodynamics in two-dimensional electron systems in quantizing magnetic fields is developed including a nonlinear transport regime. Spatio-temporal variations of the electron temperature and the chemical potential in the local equilibrium are described by the equations of conservation with the number and thermal-energy flux densities. A model of these flux densities due to hopping and drift processes is introduced for a random potential varying slowly compared to both the magnetic length and the phase coherence length. The flux measured in the standard transport experiment is derived and is used to define a transport component of the flux density. The equations of conservation can be written in terms of the transport component only. As an illustration, the theory is applied to the Ettingshausen effect, in which a one-dimensional spatial variation of the electron temperature is produced perpendicular to the current.

10 pages, 1 figure

References in corpus (5)

• Thermoelectric Response of an Interacting Two-Dimensional Electron Gas in Quantizing Magnetic Field
• Self-consistent local-equilibrium model for density profile and distribution of dissipative currents in a Hall bar under strong magnetic fields
• Electronic Processes at the Breakdown of the Quantum Hall Effect
• Hydrodynamic Equations in Quantum Hall Systems at Large Currents
• Hydrodynamic Equation for the Breakdown of the Quantum Hall Effect in a Uniform Current

Cited by in corpus (4)

• Microscopics of disordered two-dimensional electron gases under high magnetic fields: Equilibrium properties and dissipation in the hydrodynamic regime
• Ettingshausen Effect around Landau Level Filling Factor nu=3 Studied by Dynamic Nuclear Polarization
• Theoretical Investigation of Local Electron Temperature in Quantum Hall Systems
• Current-induced cooling phenomenon in a two-dimensional electron gas under a magnetic field