Geometrically Constructed Markov Chain Monte Carlo Study of Quantum Spin-phonon Complex Systems:
Gespeichert in:
| 1. Verfasser: | |
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| Format: | Abschlussarbeit Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Tokyo [u.a.]
Springer
2014
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| Schriftenreihe: | Springer Theses
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| Schlagworte: | |
| Online-Zugang: | TUM01 UBT01 Volltext Inhaltsverzeichnis Abstract |
| Beschreibung: | 1 Online-Ressource |
| ISBN: | 9784431545170 |
| DOI: | 10.1007/978-4-431-54517-0 |
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Datensatz im Suchindex
| _version_ | 1804151650723561472 |
|---|---|
| adam_text | GEOMETRICALLY CONSTRUCTED MARKOV CHAIN MONTE CARLO STUDY OF QUANTUM
SPIN-PHONON COMPLEX SYSTEMS
/ SUWA, HIDEMARO
: 2014
TABLE OF CONTENTS / INHALTSVERZEICHNIS
INTRODUCTION
GEOMETRIC ALLOCATION APPROACH IN MARKOV CHAIN MONTE CARLO
MONTE CARLO METHOD FOR SPIN-PEIERLS SYSTEMS
QUANTUM MONTE CARLO LEVEL SPECTROSCOPY
XXZ SPIN-PEIERLS CHAIN
MULTI-CHAIN SPIN-PEIERLS SYSTEMS
SUMMARY
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
GEOMETRICALLY CONSTRUCTED MARKOV CHAIN MONTE CARLO STUDY OF QUANTUM
SPIN-PHONON COMPLEX SYSTEMS
/ SUWA, HIDEMARO
: 2014
ABSTRACT / INHALTSTEXT
IN THIS THESIS, NOVEL MONTE CARLO METHODS FOR PRECISELY CALCULATING THE
CRITICAL PHENOMENA OF THE EFFECTIVELY FRUSTRATED QUANTUM SPIN SYSTEM ARE
DEVELOPED AND APPLIED TO THE CRITICAL PHENOMENA OF THE SPIN-PEIERLS
SYSTEMS. THREE SIGNIFICANT METHODS ARE INTRODUCED FOR THE FIRST TIME: A
NEW OPTIMIZATION ALGORITHM OF THE MARKOV CHAIN TRANSITION KERNEL BASED
ON THE GEOMETRIC WEIGHT-ALLOCATION APPROACH, THE EXTENSION OF THE WORM
(DIRECTED-LOOP) ALGORITHM TO NONCONSERVED PARTICLES, AND THE COMBINATION
WITH THE LEVEL SPECTROSCOPY. UTILIZING THESE METHODS, THE PHASE DIAGRAM
OF THE ONE-DIMENSIONAL XXZ SPIN-PEIERLS SYSTEM IS ELUCIDATED.
FURTHERMORE, THE MULTI-CHAIN AND TWO-DIMENSIONAL SPIN-PEIERLS SYSTEMS
WITH INTERCHAIN LATTICE INTERACTION ARE INVESTIGATED. THE UNBIASED
SIMULATION SHOWS THAT THE INTERESTING QUANTUM PHASE TRANSITION BETWEEN
THE 1D-LIKE LIQUID PHASE AND THE MACROSCOPICALLY-DEGENERATED DIMER PHASE
OCCURS ON THE FULLY-FRUSTRATED PARAMETER LINE THAT SEPARATES THE
DOUBLY-DEGENERATED DIMER PHASES IN THE TWO-DIMENSIONAL PHASE DIAGRAM.
THE SPIN-PHONON INTERACTION IN THE SPIN-PEIERLS SYSTEM INTRODUCES THE
SPIN FRUSTRATION, WHICH USUALLY HINDERS THE QUANTUM MONTE CARLO
ANALYSIS, OWING TO THE NOTORIOUS NEGATIVE SIGN PROBLEM.IN THIS THESIS,
THE AUTHOR HAS SUCCEEDED IN PRECISELY CALCULATING THE CRITICAL PHENOMENA
OF THE EFFECTIVELY FRUSTRATED QUANTUM SPIN SYSTEM BY MEANS OF THE
QUANTUM MONTE CARLO METHOD WITHOUT THE NEGATIVE SIGN
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
|
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| spelling | Suwa, Hidemaro Verfasser aut Geometrically Constructed Markov Chain Monte Carlo Study of Quantum Spin-phonon Complex Systems Hidemaro Suwa Tokyo [u.a.] Springer 2014 1 Online-Ressource txt rdacontent c rdamedia cr rdacarrier Springer Theses Zugl.: Tokyo, Univ., Diss. Quantentheorie Computer simulation Quantum theory Engineering mathematics Physics (DE-588)4113937-9 Hochschulschrift gnd-content Erscheint auch als Druckausgabe 978-4-431-54516-3 https://doi.org/10.1007/978-4-431-54517-0 Verlag Volltext Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=026991342&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=026991342&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Abstract |
| spellingShingle | Suwa, Hidemaro Geometrically Constructed Markov Chain Monte Carlo Study of Quantum Spin-phonon Complex Systems Quantentheorie Computer simulation Quantum theory Engineering mathematics Physics |
| subject_GND | (DE-588)4113937-9 |
| title | Geometrically Constructed Markov Chain Monte Carlo Study of Quantum Spin-phonon Complex Systems |
| title_auth | Geometrically Constructed Markov Chain Monte Carlo Study of Quantum Spin-phonon Complex Systems |
| title_exact_search | Geometrically Constructed Markov Chain Monte Carlo Study of Quantum Spin-phonon Complex Systems |
| title_full | Geometrically Constructed Markov Chain Monte Carlo Study of Quantum Spin-phonon Complex Systems Hidemaro Suwa |
| title_fullStr | Geometrically Constructed Markov Chain Monte Carlo Study of Quantum Spin-phonon Complex Systems Hidemaro Suwa |
| title_full_unstemmed | Geometrically Constructed Markov Chain Monte Carlo Study of Quantum Spin-phonon Complex Systems Hidemaro Suwa |
| title_short | Geometrically Constructed Markov Chain Monte Carlo Study of Quantum Spin-phonon Complex Systems |
| title_sort | geometrically constructed markov chain monte carlo study of quantum spin phonon complex systems |
| topic | Quantentheorie Computer simulation Quantum theory Engineering mathematics Physics |
| topic_facet | Quantentheorie Computer simulation Quantum theory Engineering mathematics Physics Hochschulschrift |
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