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Braiding Anyons in the ν = 5/2 Fract...

Glinskis, Simas.

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Braiding Anyons in the ν = 5/2 Fractional Quantum Hall Effect State.

Record Type:	Electronic resources : Monograph/item
Title/Author:	Braiding Anyons in the ν = 5/2 Fractional Quantum Hall Effect State./
Author:	Glinskis, Simas.
Published:	Ann Arbor : ProQuest Dissertations & Theses, : 2019,
Description:	84 p.
Notes:	Source: Dissertations Abstracts International, Volume: 81-04, Section: B.
Contained By:	Dissertations Abstracts International81-04B.
Subject:	Condensed matter physics. -
Online resource:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=22616408
ISBN:	9781088394083

Braiding Anyons in the ν = 5/2 Fractional Quantum Hall Effect State.
Glinskis, Simas.

Braiding Anyons in the ν = 5/2 Fractional Quantum Hall Effect State. - Ann Arbor : ProQuest Dissertations & Theses, 2019 - 84 p.

Source: Dissertations Abstracts International, Volume: 81-04, Section: B.

Thesis (Ph.D.)--The University of Chicago, 2019.

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

In three spatial dimensions mutually exchanging two particles leaves bosons and fermions as two possible classes of quantum particles. This is not the case in two spatial dimensions where a non-trivial mutual exchange allows particles to take on any arbitrary phase, known as anyons. Anyons come in two main varieties: Abelian and non-Abelian. Exchanging Abelian anyons generates a statistical phase, θST, which is a fractional multiple of 2π in the wave function. Exchange of non-Abelian anyons produces a non-commutative transformation of degenerate states within a Hilbert space. In this thesis we report on the first demonstration of anyonic braiding in a Fabry-Perot interference experiment in the quantum Hall regime. The quantum Hall Fabry-Perot interferometer is a Hall bar perturbed by two constrictions which introduce inter-edge tunneling. Anyonic braiding may be detected between the constrictions where the entrance or exit of a quasiparticle from within the interferometer changes the statistical content and causes a discrete phase change, known as a phase jump. The fractional quantum Hall effect is a novel collective phenomena in two dimensions with superfluid-like properties, and the quasiparticle excitations are anyons which exhibit both fractional charge and fractional statistics. The fractional quantum Hall state found at ν = 5/2 is postulated to be a paired Hall state created by p-wave BCS pairing of composite fermions with fractional charge e/4 and is theorized to support non-Abelian anyons as a Majorana mode. In the ν = 5/2 fractional quantum Hall effect state, interference signals exhibit clear phase jumps of discrete angles π and π/4, which are the predicted statistical angles respectively for the flipping of the Majorana mode and the entry of an e/4 anyonic excitation in a paired Hall state. Our results show clear evidence of anyon braiding statistics in support of the postulated non-Abelian ground state at ν = 5/2.

ISBN: 9781088394083Subjects--Topical Terms:

3173567
Condensed matter physics.
Subjects--Index Terms:

Anyons

Braiding Anyons in the ν = 5/2 Fractional Quantum Hall Effect State.
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245 1 0 $a Braiding Anyons in the ν = 5/2 Fractional Quantum Hall Effect State.
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300 $a 84 p.
500 $a Source: Dissertations Abstracts International, Volume: 81-04, Section: B.
500 $a Advisor: Kang, Woowon.
502 $a Thesis (Ph.D.)--The University of Chicago, 2019.
506 $a This item must not be sold to any third party vendors.
520 $a In three spatial dimensions mutually exchanging two particles leaves bosons and fermions as two possible classes of quantum particles. This is not the case in two spatial dimensions where a non-trivial mutual exchange allows particles to take on any arbitrary phase, known as anyons. Anyons come in two main varieties: Abelian and non-Abelian. Exchanging Abelian anyons generates a statistical phase, θST, which is a fractional multiple of 2π in the wave function. Exchange of non-Abelian anyons produces a non-commutative transformation of degenerate states within a Hilbert space. In this thesis we report on the first demonstration of anyonic braiding in a Fabry-Perot interference experiment in the quantum Hall regime. The quantum Hall Fabry-Perot interferometer is a Hall bar perturbed by two constrictions which introduce inter-edge tunneling. Anyonic braiding may be detected between the constrictions where the entrance or exit of a quasiparticle from within the interferometer changes the statistical content and causes a discrete phase change, known as a phase jump. The fractional quantum Hall effect is a novel collective phenomena in two dimensions with superfluid-like properties, and the quasiparticle excitations are anyons which exhibit both fractional charge and fractional statistics. The fractional quantum Hall state found at ν = 5/2 is postulated to be a paired Hall state created by p-wave BCS pairing of composite fermions with fractional charge e/4 and is theorized to support non-Abelian anyons as a Majorana mode. In the ν = 5/2 fractional quantum Hall effect state, interference signals exhibit clear phase jumps of discrete angles π and π/4, which are the predicted statistical angles respectively for the flipping of the Majorana mode and the entry of an e/4 anyonic excitation in a paired Hall state. Our results show clear evidence of anyon braiding statistics in support of the postulated non-Abelian ground state at ν = 5/2.
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650 4 $a Condensed matter physics. $3 3173567
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793 $a English
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