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Topics in quantum chaos and thermoel...

Bies, William Edward.

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Topics in quantum chaos and thermoelectricity.

Record Type:	Electronic resources : Monograph/item
Title/Author:	Topics in quantum chaos and thermoelectricity./
Author:	Bies, William Edward.
Description:	198 p.
Notes:	Source: Dissertation Abstracts International, Volume: 61-09, Section: B, page: 4769.
Contained By:	Dissertation Abstracts International61-09B.
Subject:	Physics, General. -
Online resource:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=9988527
ISBN:	0599955384

Topics in quantum chaos and thermoelectricity.
Bies, William Edward.

Topics in quantum chaos and thermoelectricity. - 198 p.

Source: Dissertation Abstracts International, Volume: 61-09, Section: B, page: 4769.

Thesis (Ph.D.)--Harvard University, 2000.

This thesis consists of two parts. Part I is concerned with quantum chaos in two model systems in two dimensions, the stadium billiard and a chaotic double-well potential. We study the localization properties of eigenfunctions in the stadium billiard, and conclude that there is more localization of the local density of states as a function of position in phase space than can be accounted for on the basis of random matrix theory. A part of this can be attributed to scars, but most of the excess localization is found to be due to symmetry effects originating in the parity and time-reversal symmetries. As for the double-well potentials, we study the connection between scarring of eigenfunctions and tunneling through the barrier, as reflected in the level splittings. The level splittings oscillate as a function of energy, with period h in units of action, as expected if scarring plays a role in determining the size of the splitting. Indeed, the size of the splitting is directly correlated with the strength of scarring. Our results are interpreted within the framework of semiclassical theory.

ISBN: 0599955384Subjects--Topical Terms:

1018488
Physics, General.

Topics in quantum chaos and thermoelectricity.
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100 1 $a Bies, William Edward. $3 1945139
245 1 0 $a Topics in quantum chaos and thermoelectricity.
300 $a 198 p.
500 $a Source: Dissertation Abstracts International, Volume: 61-09, Section: B, page: 4769.
500 $a Advisers: E. J. Heller; H. Ehrenreich.
502 $a Thesis (Ph.D.)--Harvard University, 2000.
520 $a This thesis consists of two parts. Part I is concerned with quantum chaos in two model systems in two dimensions, the stadium billiard and a chaotic double-well potential. We study the localization properties of eigenfunctions in the stadium billiard, and conclude that there is more localization of the local density of states as a function of position in phase space than can be accounted for on the basis of random matrix theory. A part of this can be attributed to scars, but most of the excess localization is found to be due to symmetry effects originating in the parity and time-reversal symmetries. As for the double-well potentials, we study the connection between scarring of eigenfunctions and tunneling through the barrier, as reflected in the level splittings. The level splittings oscillate as a function of energy, with period h in units of action, as expected if scarring plays a role in determining the size of the splitting. Indeed, the size of the splitting is directly correlated with the strength of scarring. Our results are interpreted within the framework of semiclassical theory.
520 $a In Part II we study thermoelectric effects in anisotropic materials. As a direct consequence of anisotropy we find that there will be induced electric fields and thermal gradients in order to ensure steady-state current flow through a device made of such materials. It is shown that the transport coefficients must be replaced by effective transport coefficients, which are reduced in magnitude because of the induced fields. The thermoelectric figure of merit can be computed in terms of the effective transport coefficients. We prove an upper bound on the figure of merit and show that, for an isotropic lattice thermal conductivity, it is maximized for the sample orientation in which current flows along the direction of greatest electrical conductivity. These ideas are applied to Bi2Te3 and HgTe/Hg1- xCdxTe superlattices. Finally, we investigate the experimental reduction in thermal conductivity in the growth direction of GaAs/AlAs superlattices with a realistic model of the interatomic forces and find that it can be explained as a combination of phonon dispersion effects and interface scattering.
590 $a School code: 0084.
650 4 $a Physics, General. $3 1018488
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710 2 0 $a Harvard University. $3 528741
773 0 $t Dissertation Abstracts International $g 61-09B.
790 1 0 $a Heller, E. J., $e advisor
790 1 0 $a Ehrenreich, H., $e advisor
790 $a 0084
791 $a Ph.D.
792 $a 2000
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=9988527