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Quantum fluctuation induced ordering...

Bergman, Doron L.

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Quantum fluctuation induced ordering in three dimensional frustrated magnets.

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Quantum fluctuation induced ordering in three dimensional frustrated magnets./
作者:	Bergman, Doron L.
面頁冊數:	192 p.
附註:	Adviser: Leon Balents.
Contained By:	Dissertation Abstracts International68-07B.
標題:	Physics, Condensed Matter. -
電子資源:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3274441
ISBN:	9780549152859

Quantum fluctuation induced ordering in three dimensional frustrated magnets.
Bergman, Doron L.

Quantum fluctuation induced ordering in three dimensional frustrated magnets. - 192 p.

Adviser: Leon Balents.

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

In this thesis, we study the effect of quantum fluctuations on the half-polarized magnetization plateau of a pyrochlore antiferromagnet. We argue that an expansion around the easy axis limit is appropriate for discussing the ground state selection amongst the classically degenerate manifold of collinear states with a 3:1 ratio of spins parallel/anti-parallel to the magnetization axis. A general approach to the necessary degenerate perturbation theory is presented, and an effective quantum dimer model within this degenerate manifold is derived for arbitrary spin s. We show that under rather general conditions, the first non-constant terms in the effective Hamiltonian for s ≥ 1 occur only at sixth order in the transverse exchange coupling. For s ≥ 5/2, the dominant terms in the effective Hamiltonian are those of a classical dimer model, which predicts a magnetically ordered state. For s ≤ 2, more exotic possibilities may be realized. The effective dimer Hamiltonian then is strongly quantum. We describe 2 likely ground states in that regime---one a U(1) spin liquid phase, and the other a magnetically ordered state.

ISBN: 9780549152859Subjects--Topical Terms:

1018743
Physics, Condensed Matter.

Quantum fluctuation induced ordering in three dimensional frustrated magnets.
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035 $a (UMI)AAI3274441
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100 1 $a Bergman, Doron L. $3 1266231
245 1 0 $a Quantum fluctuation induced ordering in three dimensional frustrated magnets.
300 $a 192 p.
500 $a Adviser: Leon Balents.
500 $a Source: Dissertation Abstracts International, Volume: 68-07, Section: B, page: 4569.
502 $a Thesis (Ph.D.)--University of California, Santa Barbara, 2007.
520 $a In this thesis, we study the effect of quantum fluctuations on the half-polarized magnetization plateau of a pyrochlore antiferromagnet. We argue that an expansion around the easy axis limit is appropriate for discussing the ground state selection amongst the classically degenerate manifold of collinear states with a 3:1 ratio of spins parallel/anti-parallel to the magnetization axis. A general approach to the necessary degenerate perturbation theory is presented, and an effective quantum dimer model within this degenerate manifold is derived for arbitrary spin s. We show that under rather general conditions, the first non-constant terms in the effective Hamiltonian for s ≥ 1 occur only at sixth order in the transverse exchange coupling. For s ≥ 5/2, the dominant terms in the effective Hamiltonian are those of a classical dimer model, which predicts a magnetically ordered state. For s ≤ 2, more exotic possibilities may be realized. The effective dimer Hamiltonian then is strongly quantum. We describe 2 likely ground states in that regime---one a U(1) spin liquid phase, and the other a magnetically ordered state.
590 $a School code: 0035.
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 California, Santa Barbara. $b Physics. $3 1020469
773 0 $t Dissertation Abstracts International $g 68-07B.
790 $a 0035
790 1 0 $a Balents, Leon, $e advisor
790 1 0 $a Fisher, Matthew P. A. $e committee member
790 1 0 $a Gwinn, Elisabeth $e committee member
791 $a Ph.D.
792 $a 2007
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3274441