Second order semiclassical theory of Bloch electrons in uniform electromagnetic fields

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dc.contributor.advisorNiu, Qian
dc.creatorGao, Yang 1987-en
dc.date.accessioned2014-11-07T21:37:34Zen
dc.date.accessioned2018-01-22T22:27:09Z
dc.date.available2018-01-22T22:27:09Z
dc.date.issued2012-05en
dc.date.submittedMay 2012en
dc.date.updated2014-11-07T21:37:34Zen
dc.descriptiontexten
dc.description.abstractBerry curvature appears in the semi-classical theory of Bloch electrons already to first order in electromagnetic fields, resulting in profound modification of the carrier velocity and phase space density of states. Here we derive the equations of motion for the physical position and crystal momentum to second order in the fields. The dynamics still has a Hamiltonian structure, albeit with noncanonical Poisson brackets between the physical variables. We are able to expand both the carrier energy and the Poisson brackets to second order in the fields with terms of clear physical meaning. To demonstrate the utility of our theory, we obtain with much ease the electromagnetic response and orbital magnetic susceptibility.en
dc.description.departmentPhysicsen
dc.format.mimetypeapplication/pdfen
dc.identifier.urihttp://hdl.handle.net/2152/27209en
dc.subjectMagnetoelectric polarizabilityen
dc.subjectMagnetic susceptibilityen
dc.subjectSemiclassicalen
dc.subjectBerry curvatureen
dc.subjectPhase space quantum mechanicsen
dc.titleSecond order semiclassical theory of Bloch electrons in uniform electromagnetic fieldsen
dc.typeThesisen

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