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

  • Book
  • © 2013

Overview

Authors:
  1. Pierre Bouillot

    1. DPMC-MaNEP, University of Geneva, Geneva, Switzerland

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  • Nominated as an outstanding contribution by the University of Geneva
  • Presents the first quantitative test of the Luttinger liquid universality class
  • Demonstrates that these systems hold great promise as quantum simulators
  • Provides a full determination of the dynamical correlation functions

Part of the book series: Springer Theses (Springer Theses)

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Table of contents (6 chapters)

  1. Front Matter

    Pages i-x
    Download chapter PDF

  2. Introduction

    • Pierre Bouillot
    Pages 1-5

  3. Spin-\(1/2\) Ladders

    • Pierre Bouillot
    Pages 7-17

  4. Methods

    • Pierre Bouillot
    Pages 19-39

  5. Static Properties and NMR Relaxation Rate

    • Pierre Bouillot
    Pages 41-58

  6. Dynamical Correlations of a Spin Ladder

    • Pierre Bouillot
    Pages 59-82

  7. Conclusions and Perspectives

    • Pierre Bouillot
    Pages 83-87

  8. Back Matter

    Pages 89-98
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Keywords

About this book

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.

Authors and Affiliations

  • DPMC-MaNEP, University of Geneva, Geneva, Switzerland

    Pierre Bouillot

About the author

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

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