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Local quantities and topological invariants of hermitian matrices
(University of Missouri--Columbia, 2018)
[ACCESS RESTRICTED TO THE UNIVERSITY OF MISSOURI AT AUTHOR'S REQUEST.] This thesis contains developments of two related topics, both born out of a desire to understand the electronic eigenstates of crystal lattices with ...
Magnetic interactions in the spin-orbit coupled electron gas
(University of Missouri--Columbia, 2017)
The exchange interaction between two localized magnetic moments embedded in a host material is fundamental to the description of the magnetic behavior of solids and chiral order in magnetic structures. This interaction was ...