Statics and Dynamics of Weakly Coupled Antiferromagnetic Spin-1/2 Ladders in a Magnetic Field
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106,99 €
Springer Theses
ISBN: |
3642338070 |
ISBN 13: |
9783642338076 |
Autor: |
Bouillot, Pierre |
Verlag: |
Springer Verlag GmbH |
Umfang: |
x, 98 S. |
Erscheinungsdatum: |
14.12.2012 |
Auflage: |
1/2012 |
Produktform: |
Gebunden/Hardback |
Einband: |
GEB |
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.