The Resource Geometrically Constructed Markov Chain Monte Carlo Study of Quantum Spinphonon Complex Systems, by Hidemaro Suwa, (electronic resource)
Geometrically Constructed Markov Chain Monte Carlo Study of Quantum Spinphonon Complex Systems, by Hidemaro Suwa, (electronic resource)
 Summary
 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 spinPeierls systems. Three significant methods are introduced for the first time: a new optimization algorithm of the Markov chain transition kernel based on the geometric weightallocation approach, the extension of the worm (directedloop) algorithm to nonconserved particles, and the combination with the level spectroscopy. Utilizing these methods, the phase diagram of the onedimensional XXZ spinPeierls system is elucidated. Furthermore, the multichain and twodimensional spinPeierls systems with interchain lattice interaction are investigated.   The unbiased simulation shows that the interesting quantum phase transition between the 1Dlike liquid phase and the macroscopicallydegenerated dimer phase occurs on the fullyfrustrated parameter line that separates the doublydegenerated dimer phases in the twodimensional phase diagram. The spinphonon interaction in the spinPeierls 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
 Language
 eng
 Extent
 XII, 126 p. 61 illus., 46 illus. in color.
 Contents

 Introduction
 Geometric Allocation Approach in Markov Chain Monte Carlo
 Monte Carlo Method for SpinPeierls Systems
 Quantum Monte Carlo Level Spectroscopy
 XXZ SpinPeierls Chain
 Multichain SpinPeierls Systems
 Summary
 Isbn
 9784431545170
 Label
 Geometrically Constructed Markov Chain Monte Carlo Study of Quantum Spinphonon Complex Systems
 Title
 Geometrically Constructed Markov Chain Monte Carlo Study of Quantum Spinphonon Complex Systems
 Statement of responsibility
 by Hidemaro Suwa
 Language
 eng
 Summary
 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 spinPeierls systems. Three significant methods are introduced for the first time: a new optimization algorithm of the Markov chain transition kernel based on the geometric weightallocation approach, the extension of the worm (directedloop) algorithm to nonconserved particles, and the combination with the level spectroscopy. Utilizing these methods, the phase diagram of the onedimensional XXZ spinPeierls system is elucidated. Furthermore, the multichain and twodimensional spinPeierls systems with interchain lattice interaction are investigated.   The unbiased simulation shows that the interesting quantum phase transition between the 1Dlike liquid phase and the macroscopicallydegenerated dimer phase occurs on the fullyfrustrated parameter line that separates the doublydegenerated dimer phases in the twodimensional phase diagram. The spinphonon interaction in the spinPeierls 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
 Image bit depth
 0
 Literary form
 non fiction
 Series statement
 Springer Theses, Recognizing Outstanding Ph.D. Research,
 Label
 Geometrically Constructed Markov Chain Monte Carlo Study of Quantum Spinphonon Complex Systems, by Hidemaro Suwa, (electronic resource)
 Antecedent source
 mixed
 Carrier category
 online resource
 Carrier category code
 cr
 Carrier MARC source
 rdacarrier
 Color
 not applicable
 Content category
 text
 Content type code
 txt
 Content type MARC source
 rdacontent
 Contents
 Introduction  Geometric Allocation Approach in Markov Chain Monte Carlo  Monte Carlo Method for SpinPeierls Systems  Quantum Monte Carlo Level Spectroscopy  XXZ SpinPeierls Chain  Multichain SpinPeierls Systems  Summary
 http://library.link/vocab/cover_art
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 http://library.link/vocab/discovery_link
 {'f': 'http://opac.lib.rpi.edu/record=b3552214'}
 Extent
 XII, 126 p. 61 illus., 46 illus. in color.
 File format
 multiple file formats
 Form of item
 electronic
 Isbn
 9784431545170
 Level of compression
 uncompressed
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code
 c
 Other physical details
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<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.lib.rpi.edu/portal/GeometricallyConstructedMarkovChainMonte/mtZe7jAkQY4/" typeof="WorkExample http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.lib.rpi.edu/portal/GeometricallyConstructedMarkovChainMonte/mtZe7jAkQY4/">Geometrically Constructed Markov Chain Monte Carlo Study of Quantum Spinphonon Complex Systems, by Hidemaro Suwa, (electronic resource)</a></span>  <span property="offers" typeOf="Offer"><span property="offeredBy" typeof="Library ll:Library" resource="http://link.lib.rpi.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.lib.rpi.edu/">Rensselaer Libraries</a></span></span></span></span></div>