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Three-dimensional Frustrated Quantum Magnets

2012
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Release : 2012
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Book Rating : 100/5 ( reviews)

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Book Synopsis Three-dimensional Frustrated Quantum Magnets by : SungBin Lee

Download or read book Three-dimensional Frustrated Quantum Magnets written by SungBin Lee. This book was released on 2012. Available in PDF, EPUB and Kindle. Book excerpt: Frustration, induced by competition between different interactions, can be realized on a diamond lattice, especially in A-site of spinel materials with a chemical formula AB2X4. We address the realization of classical spin liquid and provide a unified theoretical explanation of various phenomena observed in spinel materials. Motivated by CoNb2O6, we study interplay between quantum criticality and geometric frustration. In the presence of carefully oriented magnetic field, the system realizes quantum phase transition of transverse field quantum Ising model while magnetic frustration exists due to the lattice geometry at the same time. We reveal several quantum magnetic phases and crossovers between one dimensional quantum criticality and several three dimensional quantum critical points. Lastly, we look for the possible realization of a quantum spin liquid focusing on A-site magnets in rare-earth pyrochlores. Based on a pseudospin-1/2 Hamiltonian, we discuss how quantum fluctuations lead the exotic phases such as a U(1) quantum spin liquid and XY ordered phases, beyond classical spin ice state.

Quantum Fluctuation Induced Ordering in Three Dimensional Frustrated Magnets

2007
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Release : 2007
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Book Rating : 859/5 ( reviews)

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Book Synopsis Quantum Fluctuation Induced Ordering in Three Dimensional Frustrated Magnets by : Doron L. Bergman

Download or read book Quantum Fluctuation Induced Ordering in Three Dimensional Frustrated Magnets written by Doron L. Bergman. This book was released on 2007. Available in PDF, EPUB and Kindle. Book excerpt: 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 & ge; 1 occur only at sixth order in the transverse exchange coupling. For s & ge; 5/2, the dominant terms in the effective Hamiltonian are those of a classical dimer model, which predicts a magnetically ordered state. For s & le; 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.

Thermal Expansion Studies on Low-dimensional Frustrated Quantum Magnets: the Case of Kappa-(BEDT-TTF) 2 Cu 2 (CN) 3 and Azurite

2012
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Release : 2012
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Book Synopsis Thermal Expansion Studies on Low-dimensional Frustrated Quantum Magnets: the Case of Kappa-(BEDT-TTF) 2 Cu 2 (CN) 3 and Azurite by : Rudra Sekhar Manna

Download or read book Thermal Expansion Studies on Low-dimensional Frustrated Quantum Magnets: the Case of Kappa-(BEDT-TTF) 2 Cu 2 (CN) 3 and Azurite written by Rudra Sekhar Manna. This book was released on 2012. Available in PDF, EPUB and Kindle. Book excerpt:

Introduction to Frustrated Magnetism

2011-01-12 Science
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Release : 2011-01-12
Genre : Science
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Book Rating : 890/5 ( reviews)

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Book Synopsis Introduction to Frustrated Magnetism by : Claudine Lacroix

Download or read book Introduction to Frustrated Magnetism written by Claudine Lacroix. This book was released on 2011-01-12. Available in PDF, EPUB and Kindle. Book excerpt: The field of highly frustrated magnetism has developed considerably and expanded over the last 15 years. Issuing from canonical geometric frustration of interactions, it now extends over other aspects with many degrees of freedom such as magneto-elastic couplings, orbital degrees of freedom, dilution effects, and electron doping. Its is thus shown here that the concept of frustration impacts on many other fields in physics than magnetism. This book represents a state-of-the-art review aimed at a broad audience with tutorial chapters and more topical ones, encompassing solid-state chemistry, experimental and theoretical physics.

Frustrated Spin Systems

2013 Science
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Release : 2013
Genre : Science
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Book Rating : 744/5 ( reviews)

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Book Synopsis Frustrated Spin Systems by : H. T. Diep

Download or read book Frustrated Spin Systems written by H. T. Diep. This book was released on 2013. Available in PDF, EPUB and Kindle. Book excerpt: This book covers all principal aspects of currently investigated frustrated systems, from exactly solved frustrated models to real experimental frustrated systems, going through renormalization group treatment, Monte Carlo investigation of frustrated classical Ising and vector spin models, low-dimensional systems, spin ice and quantum spin glass. The reader can OCo within a single book OCo obtain a global view of the current research development in the field of frustrated systems.This new edition is updated with recent theoretical, numerical and experimental developments in the field of frustrated spin systems. The first edition of the book appeared in 2005. In this edition, more recent works until 2012 are reviewed. It contains nine chapters written by researchers who have actively contributed to the field. Many results are from recent works of the authors.The book is intended for postgraduate students as well as researchers in statistical physics, magnetism, materials science and various domains where real systems can be described with the spin language. Explicit demonstrations of formulas and full arguments leading to important results are given where it is possible to do so."

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