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

  • Pierre Bouillot

Part of the Springer Theses book series (Springer Theses)

Table of contents

  1. Front Matter
    Pages i-x
  2. Pierre Bouillot
    Pages 1-5
  3. Pierre Bouillot
    Pages 7-17
  4. Pierre Bouillot
    Pages 19-39
  5. Pierre Bouillot
    Pages 41-58
  6. Pierre Bouillot
    Pages 59-82
  7. Pierre Bouillot
    Pages 83-87
  8. Back Matter
    Pages 89-98

About this book

Introduction

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 spin-spin correlations – directly measurable in neutron scattering experiments – were in excellent agreement with the observed quantities. We thus now have tools to quantitatively assess the dynamics for this class of quantum systems.

Keywords

BPCB Density Matrix Renormalization Group Dynamical Correlation Function Low Dimensional Quantum Magnets Luttinger Liquids One-dimensional Quantum Magnets Quantum Simulators TLL Universality Class Time-dependent Density Matrix Renormalization Group Tomonaga-Luttinger Liquid Weakly Coupled Ladders

Authors and affiliations

  • Pierre Bouillot
    • 1
  1. 1.DPMC-MaNEPUniversity of GenevaGenevaSwitzerland

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-642-33808-3
  • Copyright Information Springer-Verlag Berlin Heidelberg 2013
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Physics and Astronomy
  • Print ISBN 978-3-642-33807-6
  • Online ISBN 978-3-642-33808-3
  • Series Print ISSN 2190-5053
  • Series Online ISSN 2190-5061
  • Buy this book on publisher's site
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