Sangam: A Confluence of Knowledge Streams

HARTREE-FOCK STUDIES OF QUANTUM HALL STATES IN GRAPHENE

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dc.contributor Fertig, Herbert
dc.creator Feshami, Braden
dc.date 2022-08-26T20:46:39Z
dc.date 2022-08-26T20:46:39Z
dc.date 2020-08
dc.date.accessioned 2023-02-24T18:27:13Z
dc.date.available 2023-02-24T18:27:13Z
dc.identifier https://hdl.handle.net/2022/28109
dc.identifier.uri http://localhost:8080/xmlui/handle/CUHPOERS/260333
dc.description Thesis (Ph.D.) - Indiana University, Department of Physics, 2020
dc.description Recent experiments involving tilted graphene samples in the quantum Hall regime have shown strong evidence of a continuous phase transition in the v = 0 bulk state. The origins of this transition are rooted in SU(4) symmetry-breaking interactions. In this work, we present a model with microscopic interactions that supports such a transition. The model is studied within a self-consistent Hartree-Fock analysis. We find that the full set of possible symmetry-breaking terms in the interactions are realized by incorporating an active window of non-zero Landau levels in the Hartree-Fock state. Additionally, the model is studied away from integer filling, in which Skyrme crystals supporting spin textures are stabilized by long range Coulomb interactions. We explore how these textures evolve with the system parameters, and construct a phase diagram within the space of the Zeeman strength and filling factor.
dc.language en
dc.publisher [Bloomington, Ind.] : Indiana University
dc.subject Graphene
dc.subject quantum Hall
dc.subject Hartree-Fock
dc.subject SU4
dc.title HARTREE-FOCK STUDIES OF QUANTUM HALL STATES IN GRAPHENE
dc.type Doctoral Dissertation


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