By Hidemaro Suwa

ISBN-10: 4431545166

ISBN-13: 9784431545163

ISBN-10: 4431563679

ISBN-13: 9784431563679

during this thesis, novel Monte Carlo tools for accurately calculating the serious phenomena of the successfully annoyed quantum spin method are constructed and utilized to the severe phenomena of the spin-Peierls platforms. 3 major equipment are brought for the 1st time: a brand new optimization set of rules of the Markov chain transition kernel in response to the geometric weight-allocation process, the extension of the bug (directed-loop) set of rules to nonconserved debris, and the combo with the extent spectroscopy. using those equipment, the part diagram of the one-dimensional XXZ spin-Peierls method is elucidated. moreover, the multi-chain and two-dimensional spin-Peierls structures with interchain lattice interplay are investigated. The independent simulation indicates that the attention-grabbing quantum section transition among the 1D-like liquid section and the macroscopically-degenerated dimer part happens at the fully-frustrated parameter line that separates the doubly-degenerated dimer stages within the two-dimensional section diagram. The spin-phonon interplay within the spin-Peierls process introduces the spin frustration, which typically hinders the quantum Monte Carlo research, due to the infamous detrimental signal challenge. during this thesis, the writer has succeeded in just calculating the serious phenomena of the successfully pissed off quantum spin process via the quantum Monte Carlo technique with out the detrimental sign.

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Geometrically Constructed Markov Chain Monte Carlo Study of Quantum Spin-phonon Complex Systems (Springer Theses) by Hidemaro Suwa


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