Statics and Dynamics of Weakly Coupled Antiferromagnetic Spin-1/2 Ladders in a Magnetic Field:
Gespeichert in:
| Format: | Elektronisch E-Book |
|---|---|
| Sprache: | English |
| Veröffentlicht: |
Berlin, Heidelberg
Springer Berlin Heidelberg
2013
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| Schriftenreihe: | Springer Theses, Recognizing Outstanding Ph.D. Research
|
| Schlagworte: | |
| Online-Zugang: | TUM01 UBT01 Volltext Inhaltsverzeichnis Abstract |
| Beschreibung: | Introduction -- Spin-1/2 ladders -- Methods -- Static properties and NMR relaxation rate -- Dynamical correlations of a spin ladder -- Conclusions and perspectives 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 |
| Beschreibung: | 1 Online-Ressource |
| ISBN: | 9783642338083 |
| DOI: | 10.1007/978-3-642-33808-3 |
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Datensatz im Suchindex
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| adam_text | STATICS AND DYNAMICS OF WEAKLY COUPLED ANTIFERROMAGNETIC SPIN-1/2
LADDERS IN A MAGNETIC FIELD
/ BOUILLOT, PIERRE
: 2013
TABLE OF CONTENTS / INHALTSVERZEICHNIS
INTRODUCTION
SPIN-1/2 LADDERS
METHODS
STATIC PROPERTIES AND NMR RELAXATION RATE
DYNAMICAL CORRELATIONS OF A SPIN LADDER
CONCLUSIONS AND PERSPECTIVES
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
STATICS AND DYNAMICS OF WEAKLY COUPLED ANTIFERROMAGNETIC SPIN-1/2
LADDERS IN A MAGNETIC FIELD
/ BOUILLOT, PIERRE
: 2013
ABSTRACT / INHALTSTEXT
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
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
|
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| isbn | 9783642338083 |
| language | English |
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| spelling | Statics and Dynamics of Weakly Coupled Antiferromagnetic Spin-1/2 Ladders in a Magnetic Field by Pierre Bouillot Berlin, Heidelberg Springer Berlin Heidelberg 2013 1 Online-Ressource txt rdacontent c rdamedia cr rdacarrier Springer Theses, Recognizing Outstanding Ph.D. Research Introduction -- Spin-1/2 ladders -- Methods -- Static properties and NMR relaxation rate -- Dynamical correlations of a spin ladder -- Conclusions and perspectives 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 Quantentheorie Physics Quantum theory Quantum Information Technology, Spintronics Solid State Physics Numerical and Computational Physics Quantum Physics Bouillot, Pierre Sonstige oth https://doi.org/10.1007/978-3-642-33808-3 Verlag Volltext Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025731147&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025731147&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Abstract |
| spellingShingle | Statics and Dynamics of Weakly Coupled Antiferromagnetic Spin-1/2 Ladders in a Magnetic Field Quantentheorie Physics Quantum theory Quantum Information Technology, Spintronics Solid State Physics Numerical and Computational Physics Quantum Physics |
| title | Statics and Dynamics of Weakly Coupled Antiferromagnetic Spin-1/2 Ladders in a Magnetic Field |
| title_auth | Statics and Dynamics of Weakly Coupled Antiferromagnetic Spin-1/2 Ladders in a Magnetic Field |
| title_exact_search | Statics and Dynamics of Weakly Coupled Antiferromagnetic Spin-1/2 Ladders in a Magnetic Field |
| title_full | Statics and Dynamics of Weakly Coupled Antiferromagnetic Spin-1/2 Ladders in a Magnetic Field by Pierre Bouillot |
| title_fullStr | Statics and Dynamics of Weakly Coupled Antiferromagnetic Spin-1/2 Ladders in a Magnetic Field by Pierre Bouillot |
| title_full_unstemmed | Statics and Dynamics of Weakly Coupled Antiferromagnetic Spin-1/2 Ladders in a Magnetic Field by Pierre Bouillot |
| title_short | Statics and Dynamics of Weakly Coupled Antiferromagnetic Spin-1/2 Ladders in a Magnetic Field |
| title_sort | statics and dynamics of weakly coupled antiferromagnetic spin 1 2 ladders in a magnetic field |
| topic | Quantentheorie Physics Quantum theory Quantum Information Technology, Spintronics Solid State Physics Numerical and Computational Physics Quantum Physics |
| topic_facet | Quantentheorie Physics Quantum theory Quantum Information Technology, Spintronics Solid State Physics Numerical and Computational Physics Quantum Physics |
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