Regensburg 2025 – scientific programme

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DY: Fachverband Dynamik und Statistische Physik

DY 35: Fluctuations, Noise and Other Transport Topics (joint session TT/DY)

DY 35.7: Talk

Thursday, March 20, 2025, 16:45–17:00, H31

Quantum oscillations in magneto-thermoelectrical conductivities of 2DEG: The Keldysh field-theoretical approach — •Kitinan Pongsangangan — Mahidol University, Bangkok, Thailand

The purpose of this work is to formulate a kinetic theory describing transport properties of interacting electrons in a uniform magnetic field of arbitrary magnitude. Exposing an electronic system to a constant magnetic field quenches its energy bands into a series of discrete energy levels, known as Landau levels. Following Keldysh formalism, we derive the quantum kinetic equation with the Landau-level basis. The Landau-level states, exact solutions of the Schroedinger equation in a constant background magnetic field, are natural and suitable basis to use, especially, for the investigation of strong-magnetic-field phenomena. In the weak-field limit, the lowest order approximation of the quantum kinetic equation reduces to a Boltzmann equation into which the magnetic field enters as the Lorentz force. As an application of our quantum transport equation, we calculate magneto-thermoelectric coefficients of a disordered two-dimensional electron gas (2DEG) in the quantum hall regime interacting with acoustic phonons.

Keywords: quantum oscillations; magnetotransport; heat transport; integer quantum Hall; Keldysh quantum field theory