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Moment formation and pairing in the ...

Cai, Zizhe.

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Moment formation and pairing in the two-dimensional Hubbard model.

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Moment formation and pairing in the two-dimensional Hubbard model./
Author:	Cai, Zizhe.
Description:	84 p.
Notes:	Adviser: Gene Bickers.
Contained By:	Dissertation Abstracts International68-09B.
Subject:	Physics, Condensed Matter. -
Online resource:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3278390
ISBN:	9780549231905

Moment formation and pairing in the two-dimensional Hubbard model.
Cai, Zizhe.

Moment formation and pairing in the two-dimensional Hubbard model. - 84 p.

Adviser: Gene Bickers.

Thesis (Ph.D.)--University of Southern California, 2007.

The two-dimensional (2D) Hubbard model is solved in a new way. The zero-frequency components of the Hubbard interaction are separated out and solved to infinite order to avoid the traditional difficulties associated with perturbation theory in the strong-coupling limit. Specifically the zero-frequency spin interaction is decoupled by the introduction of Stratonovich-Hubbard fields, while the zero-frequency charge interaction is treated by "slave" Hartree-Fock. This approach leads to the formation of large fluctuating spin moments, and as a consequence the one-electron spectral density exhibits a pseudogap. A Metropolis Monte Carlo method is used to perform the configuration averaging over Stratonovich-Hubbard fields. Within single Monte Carlo configurations the non-zero frequency components of the Hubbard interaction are treated by a high-order perturbation method, which incorporates the exchange of dynamical particle-hole fluctuations. Since a single configuration has neither translational symmetry nor spin rotational symmetry, these fluctuations do not have a well-defined crystal momentum or total spin. When the dynamical particle-hole fluctuations are included in the calculation, localized electron pairing results at elevated temperatures. Superconductivity presumably onsets when these localized pairs develop coherence, but this is not studied in the present work. The nature of the pairing interaction and the resulting pair eigenfunctions is studied.

ISBN: 9780549231905Subjects--Topical Terms:

1018743
Physics, Condensed Matter.

Moment formation and pairing in the two-dimensional Hubbard model.
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020 $a 9780549231905
035 $a (UMI)AAI3278390
035 $a AAI3278390
040 $a UMI $c UMI
100 1 $a Cai, Zizhe. $3 1266244
245 1 0 $a Moment formation and pairing in the two-dimensional Hubbard model.
300 $a 84 p.
500 $a Adviser: Gene Bickers.
500 $a Source: Dissertation Abstracts International, Volume: 68-09, Section: B, page: 6019.
502 $a Thesis (Ph.D.)--University of Southern California, 2007.
520 $a The two-dimensional (2D) Hubbard model is solved in a new way. The zero-frequency components of the Hubbard interaction are separated out and solved to infinite order to avoid the traditional difficulties associated with perturbation theory in the strong-coupling limit. Specifically the zero-frequency spin interaction is decoupled by the introduction of Stratonovich-Hubbard fields, while the zero-frequency charge interaction is treated by "slave" Hartree-Fock. This approach leads to the formation of large fluctuating spin moments, and as a consequence the one-electron spectral density exhibits a pseudogap. A Metropolis Monte Carlo method is used to perform the configuration averaging over Stratonovich-Hubbard fields. Within single Monte Carlo configurations the non-zero frequency components of the Hubbard interaction are treated by a high-order perturbation method, which incorporates the exchange of dynamical particle-hole fluctuations. Since a single configuration has neither translational symmetry nor spin rotational symmetry, these fluctuations do not have a well-defined crystal momentum or total spin. When the dynamical particle-hole fluctuations are included in the calculation, localized electron pairing results at elevated temperatures. Superconductivity presumably onsets when these localized pairs develop coherence, but this is not studied in the present work. The nature of the pairing interaction and the resulting pair eigenfunctions is studied.
590 $a School code: 0208.
650 4 $a Physics, Condensed Matter. $3 1018743
650 4 $a Physics, Theory. $3 1019422
690 $a 0611
690 $a 0753
710 2 $a University of Southern California. $b Physics: Doctor of Philosophy. $3 1036173
773 0 $t Dissertation Abstracts International $g 68-09B.
790 $a 0208
790 1 0 $a Bickers, Gene, $e advisor
791 $a Ph.D.
792 $a 2007
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3278390