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

1. Front Matter

   Pages i-x

   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

   PDF

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.

• 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

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

  Pierre Bouillot

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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