Computer Simulation

Read e-book online Geometrically Constructed Markov Chain Monte Carlo Study of PDF

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By Hidemaro Suwa

during this thesis, novel Monte Carlo equipment for accurately calculating the severe phenomena of the successfully pissed off quantum spin process are built and utilized to the severe phenomena of the spin-Peierls structures. 3 major equipment are brought for the 1st time: a brand new optimization set of rules of the Markov chain transition kernel in accordance with the geometric weight-allocation method, the extension of the bug (directed-loop) set of rules to nonconserved debris, and the combo with the extent spectroscopy. using those equipment, the section diagram of the one-dimensional XXZ spin-Peierls approach 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 part 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 levels within the two-dimensional part 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 damaging signal challenge. during this thesis, the writer has succeeded in just calculating the serious phenomena of the successfully pissed off quantum spin method by way of the quantum Monte Carlo technique with no the destructive 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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