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Hartree-Fock Studies of Quantum Hall...

Feshami, Braden R.

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Hartree-Fock Studies of Quantum Hall States in Graphene.

Record Type:	Electronic resources : Monograph/item
Title/Author:	Hartree-Fock Studies of Quantum Hall States in Graphene./
Author:	Feshami, Braden R.
Published:	Ann Arbor : ProQuest Dissertations & Theses, : 2020,
Description:	129 p.
Notes:	Source: Dissertations Abstracts International, Volume: 82-04, Section: B.
Contained By:	Dissertations Abstracts International82-04B.
Subject:	Condensed matter physics. -
Online resource:	https://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=28090564
ISBN:	9798672171272

Hartree-Fock Studies of Quantum Hall States in Graphene.
Feshami, Braden R.

Hartree-Fock Studies of Quantum Hall States in Graphene. - Ann Arbor : ProQuest Dissertations & Theses, 2020 - 129 p.

Source: Dissertations Abstracts International, Volume: 82-04, Section: B.

Thesis (Ph.D.)--Indiana University, 2020.

This item must not be sold to any third party vendors.

Recent experiments involving tilted graphene samples in the quantum Hall regime have shown strong evidence of a continuous phase transition in the ν = 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 selfconsistent 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.

ISBN: 9798672171272Subjects--Topical Terms:

3173567
Condensed matter physics.
Subjects--Index Terms:

Broken Symmetry

Hartree-Fock Studies of Quantum Hall States in Graphene.
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245 1 0 $a Hartree-Fock Studies of Quantum Hall States in Graphene.
260 1 $a Ann Arbor : $b ProQuest Dissertations & Theses, $c 2020
300 $a 129 p.
500 $a Source: Dissertations Abstracts International, Volume: 82-04, Section: B.
500 $a Advisor: Fertig, Herbert A.
502 $a Thesis (Ph.D.)--Indiana University, 2020.
506 $a This item must not be sold to any third party vendors.
520 $a Recent experiments involving tilted graphene samples in the quantum Hall regime have shown strong evidence of a continuous phase transition in the ν = 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 selfconsistent 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.
590 $a School code: 0093.
650 4 $a Condensed matter physics. $3 3173567
650 4 $a Theoretical physics. $3 2144760
653 $a Broken Symmetry
653 $a Graphene
653 $a Quantum Hall
690 $a 0611
690 $a 0753
710 2 $a Indiana University. $b Physics. $3 3282328
773 0 $t Dissertations Abstracts International $g 82-04B.
790 $a 0093
791 $a Ph.D.
792 $a 2020
793 $a English
856 4 0 $u https://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=28090564