Geometrically Constructed Markov Chain Monte Carlo Study of Quantum Spin phonon Complex Systems is popular PDF and ePub book, written by Hidemaro Suwa in 2013-11-05, it is a fantastic choice for those who relish reading online the Science genre. Let's immerse ourselves in this engaging Science book by exploring the summary and details provided below. Remember, Geometrically Constructed Markov Chain Monte Carlo Study of Quantum Spin phonon Complex Systems can be Read Online from any device for your convenience.
Geometrically Constructed Markov Chain Monte Carlo Study of Quantum Spin phonon Complex Systems Book PDF 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 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.
Detail Book of Geometrically Constructed Markov Chain Monte Carlo Study of Quantum Spin phonon Complex Systems PDF
- Author : Hidemaro Suwa
- Release : 05 November 2013
- Publisher : Springer Science & Business Media
- ISBN : 9784431545170
- Genre : Science
- Total Page : 135 pages
- Language : English
- PDF File Size : 21,7 Mb
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