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Statics and Dynamics of Weakly Coupled Antiferromagnetic Spin-1/2 Ladders in a Magnetic Field (Hardcover, 2013 ed.)
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Statics and Dynamics of Weakly Coupled Antiferromagnetic Spin-1/2 Ladders in a Magnetic Field (Hardcover, 2013 ed.)
Series: Springer Theses
Expected to ship within 10 - 15 working days
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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 quantitatiively assess the
dynamics for this class of quantum systems.
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