Geometrically Constructed Markov Chain Monte Carlo Study of Quantum Spin-phonon Complex Systems (Record no. 93700)

000 -LEADER
fixed length control field 03512nam a22005055i 4500
001 - CONTROL NUMBER
control field 978-4-431-54517-0
003 - CONTROL NUMBER IDENTIFIER
control field DE-He213
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20140220082525.0
007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION
fixed length control field cr nn 008mamaa
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 131105s2014 ja | s |||| 0|eng d
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9784431545170
-- 978-4-431-54517-0
024 7# - OTHER STANDARD IDENTIFIER
Standard number or code 10.1007/978-4-431-54517-0
Source of number or code doi
050 #4 - LIBRARY OF CONGRESS CALL NUMBER
Classification number QC173.96-174.52
072 #7 - SUBJECT CATEGORY CODE
Subject category code PHQ
Source bicssc
072 #7 - SUBJECT CATEGORY CODE
Subject category code SCI057000
Source bisacsh
082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 530.12
Edition number 23
100 1# - MAIN ENTRY--PERSONAL NAME
Personal name Suwa, Hidemaro.
Relator term author.
245 10 - TITLE STATEMENT
Title Geometrically Constructed Markov Chain Monte Carlo Study of Quantum Spin-phonon Complex Systems
Medium [electronic resource] /
Statement of responsibility, etc by Hidemaro Suwa.
264 #1 -
-- Tokyo :
-- Springer Japan :
-- Imprint: Springer,
-- 2014.
300 ## - PHYSICAL DESCRIPTION
Extent XII, 126 p. 61 illus., 46 illus. in color.
Other physical details online resource.
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-- computer
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-- rdamedia
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-- online resource
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347 ## -
-- text file
-- PDF
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490 1# - SERIES STATEMENT
Series statement Springer Theses, Recognizing Outstanding Ph.D. Research,
International Standard Serial Number 2190-5053
505 0# - FORMATTED CONTENTS NOTE
Formatted contents note 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.
520 ## - SUMMARY, ETC.
Summary, etc 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.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Physics.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Computer simulation.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Quantum theory.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Engineering mathematics.
650 14 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Physics.
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Quantum Physics.
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Numerical and Computational Physics.
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Quantum Information Technology, Spintronics.
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Simulation and Modeling.
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Appl.Mathematics/Computational Methods of Engineering.
710 2# - ADDED ENTRY--CORPORATE NAME
Corporate name or jurisdiction name as entry element SpringerLink (Online service)
773 0# - HOST ITEM ENTRY
Title Springer eBooks
776 08 - ADDITIONAL PHYSICAL FORM ENTRY
Display text Printed edition:
International Standard Book Number 9784431545163
830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE
Uniform title Springer Theses, Recognizing Outstanding Ph.D. Research,
-- 2190-5053
856 40 - ELECTRONIC LOCATION AND ACCESS
Uniform Resource Identifier http://dx.doi.org/10.1007/978-4-431-54517-0
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