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Coherent scattering in two dimension...

Barr, Matthew Christopher.

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Coherent scattering in two dimensions: Graphene and quantum corrals.

Record Type:	Electronic resources : Monograph/item
Title/Author:	Coherent scattering in two dimensions: Graphene and quantum corrals./
Author:	Barr, Matthew Christopher.
Description:	162 p.
Notes:	Source: Dissertation Abstracts International, Volume: 75-05(E), Section: B.
Contained By:	Dissertation Abstracts International75-05B(E).
Subject:	Physics. -
Online resource:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3611512
ISBN:	9781303723957

Coherent scattering in two dimensions: Graphene and quantum corrals.
Barr, Matthew Christopher.

Coherent scattering in two dimensions: Graphene and quantum corrals. - 162 p.

Source: Dissertation Abstracts International, Volume: 75-05(E), Section: B.

Thesis (Ph.D.)--Harvard University, 2014.

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

Two dimensional electronic materials provide a vibrant area for applying basic quantum mechanics and scattering theory. In quantum corrals, multiple scattering leads to resonances closely approximating eigenstates of an equivalently shaped billiard. We extend the analogy using methods from acoustics to demonstrate that the billiard conception of quantum corrals is a useful one even in wavelength regimes close to corral size. Resonance widths can be described by a simple relationship proportional to the perimeter to area ratio of the enclosure and the average reflection of a classical path. In graphene, we study the unique behavior strain induces on the effective Dirac Hamiltonian by creating an effective pseudomagnetic field. These fields induce an energy splitting of degenerate eigenstates of certain graphene quantum dots which is distinct from that of an applied scalar potential and can in principle be observed in the conductance through the dot. Additionally, for strain bubbles smaller than the effective Dirac wavelength, the scattering is shown to be distinct from other impurity types. This leads to characteristic features in the conductance, as a function of the bubble position, through regions containing a strong strain bubble.

ISBN: 9781303723957Subjects--Topical Terms:

516296
Physics.

Coherent scattering in two dimensions: Graphene and quantum corrals.
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020 $a 9781303723957
035 $a (MiAaPQ)AAI3611512
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100 1 $a Barr, Matthew Christopher. $3 3173938
245 1 0 $a Coherent scattering in two dimensions: Graphene and quantum corrals.
300 $a 162 p.
500 $a Source: Dissertation Abstracts International, Volume: 75-05(E), Section: B.
500 $a Adviser: Eric J. Heller.
502 $a Thesis (Ph.D.)--Harvard University, 2014.
506 $a This item must not be sold to any third party vendors.
506 $a This item must not be added to any third party search indexes.
520 $a Two dimensional electronic materials provide a vibrant area for applying basic quantum mechanics and scattering theory. In quantum corrals, multiple scattering leads to resonances closely approximating eigenstates of an equivalently shaped billiard. We extend the analogy using methods from acoustics to demonstrate that the billiard conception of quantum corrals is a useful one even in wavelength regimes close to corral size. Resonance widths can be described by a simple relationship proportional to the perimeter to area ratio of the enclosure and the average reflection of a classical path. In graphene, we study the unique behavior strain induces on the effective Dirac Hamiltonian by creating an effective pseudomagnetic field. These fields induce an energy splitting of degenerate eigenstates of certain graphene quantum dots which is distinct from that of an applied scalar potential and can in principle be observed in the conductance through the dot. Additionally, for strain bubbles smaller than the effective Dirac wavelength, the scattering is shown to be distinct from other impurity types. This leads to characteristic features in the conductance, as a function of the bubble position, through regions containing a strong strain bubble.
590 $a School code: 0084.
650 4 $a Physics. $3 516296
650 4 $a Acoustics. $3 879105
650 4 $a Condensed matter physics. $3 3173567
690 $a 0605
690 $a 0986
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710 2 $a Harvard University. $b Physics. $3 2094825
773 0 $t Dissertation Abstracts International $g 75-05B(E).
790 $a 0084
791 $a Ph.D.
792 $a 2014
793 $a English
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3611512