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Topics in quantum magnetism.

Chakravarty, Shoibal.

Topics in quantum magnetism.

Record Type:	Electronic resources : Monograph/item
Title/Author:	Topics in quantum magnetism.
Author:	Chakravarty, Shoibal.
Description:	109 p.
Notes:	Adviser: Shivaji Lal Sondhi.
Notes:	Source: Dissertation Abstracts International, Volume: 66-08, Section: B, page: 4280.
Contained By:	Dissertation Abstracts International66-08B.
Subject:	Physics, Condensed Matter.
Online resource:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3188615
ISBN:	9780542306877

Topics in quantum magnetism.
Chakravarty, Shoibal.

Topics in quantum magnetism. - 109 p.

Adviser: Shivaji Lal Sondhi.

Thesis (Ph.D.)--Princeton University, 2006.

The second chapter deals with the quantum Heisenberg Hamiltonian on the geometrically frustrated pyrochlore lattice. We use a Gutzwiller projected SU(N) mean field approach to study various saddle point states. The most promising state is a spin liquid that breaks parity and time-reversal at the microscopic level. Nonetheless, the low energy theory does not break parity or time-reversal. In this respect, it is similar to anti-ferromagnetism. The state has massless spinons and gauge fluctuations. We show that this property persists for a class of perturbations.

ISBN: 9780542306877Subjects--Topical Terms:

226939
Physics, Condensed Matter.

Topics in quantum magnetism.
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020 $a 9780542306877
035 $a 00242853
040 $a UnM $c UnM
100 0 $a Chakravarty, Shoibal. $3 244854
245 1 0 $a Topics in quantum magnetism.
300 $a 109 p.
500 $a Adviser: Shivaji Lal Sondhi.
500 $a Source: Dissertation Abstracts International, Volume: 66-08, Section: B, page: 4280.
502 $a Thesis (Ph.D.)--Princeton University, 2006.
520 # $a The second chapter deals with the quantum Heisenberg Hamiltonian on the geometrically frustrated pyrochlore lattice. We use a Gutzwiller projected SU(N) mean field approach to study various saddle point states. The most promising state is a spin liquid that breaks parity and time-reversal at the microscopic level. Nonetheless, the low energy theory does not break parity or time-reversal. In this respect, it is similar to anti-ferromagnetism. The state has massless spinons and gauge fluctuations. We show that this property persists for a class of perturbations.
520 # $a This dissertation covers some aspects of quantum magnetism in strongly interacting two and three dimensional insulators. In the first chapter we study the various phases of the Rokhsar-Kivelson quantum dimer model. We use a recently developed Hamiltonian formulation of quantum field theory to investigate the frustrated lattice gauge theory version of the quantum dimer model. A variational approach is used to obtain insights into the strongly interacting non-perturbative aspects of the ground state. The valence bond crystal is obtained in the v << t limit. We demonstrate that the physics of the Rokhsar-Kivelson point can be obtained self-consistently at a special point in the phase space. We show that a dynamical cancellation of compact gauge excitations is responsible for soft massless photons.
590 $a School code: 0181.
650 # 0 $a Physics, Condensed Matter. $3 226939
690 $a 0611
710 0 # $a Princeton University. $3 212488
773 0 # $g 66-08B. $t Dissertation Abstracts International
790 $a 0181
790 1 0 $a Sondhi, Shivaji Lal, $e advisor
791 $a Ph.D.
792 $a 2006
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