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Statics and Dynamics of Weakly Coupled Antiferromagnetic Spin-1/2 Ladders in a Magnetic Field

(Autor)

Buch | Hardcover
X, 98 Seiten
2012 | 2013
Springer Berlin (Verlag)
978-3-642-33807-6 (ISBN)
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This book shows how a combination of techniques such as a time dependent and finite temperature Density Matrix Renormalization Group technique, can be used to obtain the physical properties of low dimensional quantum magnets with unprecedented accuracy.
This thesis shows how a combination of analytic and numerical techniques, such as a time dependent and finite temperature Density Matrix Renormalization Group (DMRG) technique, can be used to obtain the physical properties of low dimensional quantum magnets with an unprecedented level of accuracy. A comparison between the theory and experiment then enables these systems to be used as quantum simulators; for example, to test various generic properties of low dimensional systems such as Luttinger liquid physics, the paradigm of one dimensional interacting quantum systems. Application of these techniques to a material made of weakly coupled ladders (BPCB) allowed the first quantitative test of Luttinger liquids. In addition, other physical quantities (magnetization, specific heat etc.), and more remarkably the spins-spin correlations - directly measurable in neutron scattering experiments - were in excellent agreement with the observed quantities. We thus now have tools to quantitatiivelyassess the dynamics for this class of quantum systems.

Dr. Pierre Bouillot University of Geneva DPMC-MaNEP 1211 Geneva Switzerland e-mail: bouillot@bluewin.ch affiliation: University of Geneva, Switzerland

Introduction.- Spin-1/2 ladders.- Methods.- Static properties and NMR relaxation rate.- Dynamical correlations of a spin ladder.- Conclusions and perspectives.

Erscheint lt. Verlag 14.12.2012
Reihe/Serie Springer Theses
Zusatzinfo X, 98 p.
Verlagsort Berlin
Sprache englisch
Maße 155 x 235 mm
Gewicht 348 g
Themenwelt Naturwissenschaften Chemie Analytische Chemie
Naturwissenschaften Physik / Astronomie Quantenphysik
Naturwissenschaften Physik / Astronomie Theoretische Physik
Technik Maschinenbau
Schlagworte BPCB • Density matrix renormalization group • Dynamical Correlation Function • Low Dimensional Quantum Magnets • Luttinger liquids • One-dimensional Quantum Magnets • Quantum Simulators • Time-dependent Density Matrix Renormalization Grou • Time-dependent Density Matrix Renormalization Group • TLL Universality Class • Tomonaga-Luttinger Liquid • Weakly Coupled Ladders
ISBN-10 3-642-33807-0 / 3642338070
ISBN-13 978-3-642-33807-6 / 9783642338076
Zustand Neuware
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