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Relativistic Fermions in a Magnetic Field: From Quantum Hall Effect in Graphene to Chiral Asymmetry in QED

Abstract In the first part of this thesis, we use the generalized Landau-level represen-

tation to study the effect of screening on the properties of the graphene quantum Hall states with integer filling factors. The analysis is performed in the low-energy Dirac model in the mean-field approximation, in which the long-range Coulomb in- teraction is modified by the one-loop static screening effects. The solutions demon- strate that static screening leads to a substantial suppression of the gap parameters in the quantum Hall states with a broken U (4) flavor symmetry. The results of the temperature dependence of the energy gaps mimic well the temperature dependence of the activation energies measured in experiment. The Landau-level running of the qua... (more)
Created Date 2016
Contributor Xia, Lifang (Author) / Shovkovy, Igor (Advisor) / Lebed, Richard (Committee member) / Schmidt, Kevin (Committee member) / Damien, Easson (Committee member) / Arizona State University (Publisher)
Subject Physics
Type Doctoral Dissertation
Extent 117 pages
Language English
Reuse Permissions All Rights Reserved
Note Doctoral Dissertation Physics 2016
Collaborating Institutions Graduate College / ASU Library
Additional Formats MODS / OAI Dublin Core / RIS

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Description Dissertation/Thesis