Spin-orbit in free-electron hopping Hamiltonians / Marc Campbell.

Format:

Book

Manuscript

Microformat

Thesis/Dissertation

Author/Creator:

Campbell, Marc.

Contributor:

Segrè, Gino, advisor.

University of Pennsylvania.

Language:

English

Subjects (All):

Penn dissertations--Physics.

Physics--Penn dissertations.

Local Subjects:

Penn dissertations--Physics.

Physics--Penn dissertations.

Physical Description:

viii, 71 pages : illustrations ; 29 cm

Production:

1996.

Summary:

We investigate the spin-orbit term in the Hopping Hamiltonian. We determine the singularities in the ground state energy of the half filled Hopping Hamiltonian as a function of the lattice distortion. We compare our results for spin-orbit distortions with those obtained by considering Peierls distortions both in one and two dimensions.

Although our model of a three dimensional Hopping Hamiltonian has no singularities in the ground state energy, we study the leading order effect of a three dimensional Spin Orbit term on a Hopping Hamiltonian. In particular, we account for the spatial orbital degeneracy that follows from considering the microscopic detail of a three dimensional cubic lattice. Neglecting the electron-electron interactions, we find the ground state energy to be quadratic in the distortion magnitude and independent of the direction of distortion.

Notes:

Supervisor: Gino Segre.

Thesis (Ph.D. in Physics) -- University of Pennsylvania, 1996.

Includes bibliographical references.

Local Notes:

University Microfilms order no.: 97-12900.

OCLC:

187469234