Quantum Size Oscillations and Size Effects.
Abstract
The quantummechanical magnetoconductivity tensor for a thin metal sample is calculated with linear response theory. In that theory the response of a free electron gas to an electromagnetic disturbance is assumed to be linear. In addition, it is assumed that each Fourier component of the disturbance gives rise to an independent response. The Hamiltonian for one electron is then written as the sum of an unperturbed part and a perturbation due to the electromagnetic disturbance. The equation of motion for the one particle density matrix is used to obtain the response of the system. The rate of change of the density matrix due to collisions is taken into account by the use of constant relaxation time approximation. To apply this theory to a thin film, the stationary states of the system are assumed to be those of an electron in a magnetic field and an infinite square well potential with Landau energy levels described by quantum numbers for the magnetic field and the zcomponent of momentum.
 Publication:

Ph.D. Thesis
 Pub Date:
 1976
 Bibcode:
 1976PhDT........18G
 Keywords:

 Physics: Condensed Matter;
 Conduction Electrons;
 Metals;
 Quantum Mechanics;
 Band Structure Of Solids;
 Energy Levels;
 Perturbation Theory;
 Thin Films;
 SolidState Physics