PhD, University of Cincinnati, 2001, Arts and Sciences : Physics
The transition metal oxide Vanadium Oxide evokes wide ranging research interest due to diverse and complex physical phenomenon it exhibits. The material has a rich phase diagram with four phases that are characterized by remarkably different properties. In recent years, the unique properties and phenomenon observed in the insulating regime of Vanadium Oxide have received a lot of attention. In addition to the long standing issue of the unusual magnetic ordering in the magnetically ordered insulating phase, recent experimental studies including neutron and resonant x-ray scattering, and x-ray absorption studies have raised new, interesting questions of the complex physics of the disordered and magnetically ordered insulating phases and the transition between these phases. In this work we have tried to gain a comprehensive physical understanding of insulating Vanadium Oxide by developing a microscopic S=2 bond model that is based on spin and orbital degrees of freedom, and is consistent with the parameters and phenomenology of this system. We have used this model to study insulating Vanadium Oxide in different temperature and parameter regimes, and thereby tried to elucidate the role played by spin and orbital physics in governing the interesting behavior observed in this system.We find that using the S=2 bond model with spin and orbital degrees of freedom, we can satisfactorily explain not only the anomalous magnetic ordering, but also all the other properties of the disordered and magnetically ordered insulating phases observed by experimental studies. The model also shows a phase transition between these phases which is completely consistent with the phenomenology of the magnetic transition in insulating Vanadium Oxide. In addition, the S=2 model predicts changes in the phase transition phenomenology for the AFI transition in the presence of magnetic field, and the possibility of an additional phase transition at lower temperatures. In this work, we have explored a (open full item for complete abstract)
Committee: Fu-Chun Zhang (Advisor)
Subjects: Physics, Condensed Matter