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Aspects of Berry's phase in solid st...

Rave, Matthew J.

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Aspects of Berry's phase in solid state physics.

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Aspects of Berry's phase in solid state physics./
Author:	Rave, Matthew J.
Description:	113 p.
Notes:	Adviser: William Kerr.
Contained By:	Dissertation Abstracts International68-03B.
Subject:	Physics, Condensed Matter. -
Online resource:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3255695

Aspects of Berry's phase in solid state physics.
Rave, Matthew J.

Aspects of Berry's phase in solid state physics. - 113 p.

Adviser: William Kerr.

Thesis (Ph.D.)--Wake Forest University, 2007.

We examine several aspects of Berry's phase (BP) in the context of solid state physics. We first present several simple models that lead to BP effects, and then introduce a generalized Kronig-Penney potential that yields a non-trivial BP when inversion symmetry is broken. Next, we present an alternative derivation of the BP-modified Bloch electron semiclassical equations of motion (EOM) using a Poisson bracket formalism. The presence of a non-zero Berry curvature in the EOM is investigated, in particular for a spinless gas of Bloch electrons. Next, the concepts of effective mass and cyclotron mass are reconsidered in light of the presence of a BP. Finally we examine the feasibility of creating a simple 2D model to study BP effects; an asymmetric hexagonal lattice is studied and suggestions are made for further research.Subjects--Topical Terms:

1018743
Physics, Condensed Matter.

Aspects of Berry's phase in solid state physics.
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005 20110524
008 110524s2007 ||||||||||||||||| ||eng d
035 $a (UMI)AAI3255695
035 $a AAI3255695
040 $a UMI $c UMI
100 1 $a Rave, Matthew J. $3 1271679
245 1 0 $a Aspects of Berry's phase in solid state physics.
300 $a 113 p.
500 $a Adviser: William Kerr.
500 $a Source: Dissertation Abstracts International, Volume: 68-03, Section: B, page: 1690.
502 $a Thesis (Ph.D.)--Wake Forest University, 2007.
520 $a We examine several aspects of Berry's phase (BP) in the context of solid state physics. We first present several simple models that lead to BP effects, and then introduce a generalized Kronig-Penney potential that yields a non-trivial BP when inversion symmetry is broken. Next, we present an alternative derivation of the BP-modified Bloch electron semiclassical equations of motion (EOM) using a Poisson bracket formalism. The presence of a non-zero Berry curvature in the EOM is investigated, in particular for a spinless gas of Bloch electrons. Next, the concepts of effective mass and cyclotron mass are reconsidered in light of the presence of a BP. Finally we examine the feasibility of creating a simple 2D model to study BP effects; an asymmetric hexagonal lattice is studied and suggestions are made for further research.
590 $a School code: 0248.
650 4 $a Physics, Condensed Matter. $3 1018743
650 4 $a Physics, Theory. $3 1019422
690 $a 0611
690 $a 0753
710 2 0 $a Wake Forest University. $3 1271680
773 0 $t Dissertation Abstracts International $g 68-03B.
790 $a 0248
790 1 0 $a Kerr, William, $e advisor
791 $a Ph.D.
792 $a 2007
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3255695