Non-equilibrium thermo field dynamics and the transport of electrons in magnetic and electric fields

Cho, Carolyn (1987) Non-equilibrium thermo field dynamics and the transport of electrons in magnetic and electric fields. Masters thesis, Memorial University of Newfoundland.

[English] PDF (Migrated (PDF/A Conversion) from original format: (application/pdf)) - Accepted Version Available under License - The author retains copyright ownership and moral rights in this thesis. Neither the thesis nor substantial extracts from it may be printed or otherwise reproduced without the author's permission. Download (15MB) [English] PDF - Accepted Version Available under License - The author retains copyright ownership and moral rights in this thesis. Neither the thesis nor substantial extracts from it may be printed or otherwise reproduced without the author's permission. (Original Version)

Abstract

The superoperator formalism of non-equilibrium Thermo Field Dynamics is extended to consider a system of electrons in contact with a thermal reservoir in a homogeneous crossed electric and magnetic field. Particular attention is paid to the role of gauge invariance. A brief overview of the development of a non-equilibrium, finite time, temperature dependent field theory is included, as well as an outline of the construction of the superoperator formalism of non-equilibrium thermo field dynamics. The relationship between the two point electron Green's functions and the probability distribution function appearing in the semi-classical Boltzmann equation is established. -- As an illustration of how the transport coefficients are found from the Boltzmann equation, the case of the Chamber's solution for the electrical conductivity is considered. The position dependence of the conductivity tensor in the presence of a domain wall is evaluated numerically, and the trends are verified analytically. -- Future extensions of the present work are discussed.

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