Description: Geometrically Constructed Markov Chain Monte Carlo Study of Quantum Spin-phonon Complex Systems Please note: this item is printed on demand and will take extra time before it can be dispatched to you (up to 20 working days). Author(s): Hidemaro Suwa Format: Paperback Publisher: Springer Verlag, Japan, Japan Imprint: Springer Verlag, Japan ISBN-13: 9784431563679, 978-4431563679 Synopsis 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.
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Location: Aldershot
End Time: 2025-01-27T12:01:12.000Z
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Book Title: Geometrically Constructed Markov Chain Monte Carlo Study of Qu...
Number of Pages: 126 Pages
Publication Name: Geometrically Constructed Markov Chain Monte Carlo Study of Quantum Spin-Phonon Complex Systems
Language: English
Publisher: Springer Verlag, Japan
Item Height: 235 mm
Subject: Engineering & Technology, Computer Science, Physics
Publication Year: 2016
Type: Textbook
Item Weight: 2234 g
Author: Hidemaro Suwa
Item Width: 155 mm
Series: Springer Theses
Format: Paperback
