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Geometrically Constructed Markov Chain Monte Carlo Study of Quantum Spin-phonon Complex Systems - Couverture souple

Suwa, Hidemaro

 
9784431563679: Geometrically Constructed Markov Chain Monte Carlo Study of Quantum Spin-phonon Complex Systems
Couverture souple
ISBN 10 : 4431563679 ISBN 13 : 9784431563679
Editeur : Springer, 2016

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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À propos de l'auteur

Dr.Suwa Hidemaro

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
Springer
Date d'édition
2016
Langue
anglais
ISBN 10 
4431563679
ISBN 13 
9784431563679
Reliure
Broché
Nombre de pages
140
Coordonnées du fabricant
non disponible
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