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Titlebook: Geometrically Constructed Markov Chain Monte Carlo Study of Quantum Spin-phonon Complex Systems; Hidemaro Suwa Book 2014 Springer Japan 20

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發(fā)表于 2025-3-21 19:33:09 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
書(shū)目名稱Geometrically Constructed Markov Chain Monte Carlo Study of Quantum Spin-phonon Complex Systems
編輯Hidemaro Suwa
視頻videohttp://file.papertrans.cn/384/383671/383671.mp4
概述Introduces a new Markov chain optimization method with braking the detailed balance.Develops a quantum Monte Carlo method for nonconserved particles and combines it with the excitation level analysis.
叢書(shū)名稱Springer Theses
圖書(shū)封面Titlebook: Geometrically Constructed Markov Chain Monte Carlo Study of Quantum Spin-phonon Complex Systems; Hidemaro Suwa Book 2014 Springer Japan 20
描述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
出版日期Book 2014
關(guān)鍵詞Breaking of Detailed Balance; Extended Directed-Loop Algorithm; Frustrated Quantum Spin System; Geometr
版次1
doihttps://doi.org/10.1007/978-4-431-54517-0
isbn_softcover978-4-431-56367-9
isbn_ebook978-4-431-54517-0Series ISSN 2190-5053 Series E-ISSN 2190-5061
issn_series 2190-5053
copyrightSpringer Japan 2014
The information of publication is updating

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Quantum Monte Carlo Level Spectroscopy,ical inverse Laplace transformation. We will demonstrate the effectiveness for the spin-Peierls model and the . alternating bond model. The quantum Monte Carlo technique for the twisted boundary condition for detecting the transition point will also be presented.
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2190-5053 enerated 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 978-4-431-56367-9978-4-431-54517-0Series ISSN 2190-5053 Series E-ISSN 2190-5061
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https://doi.org/10.1007/978-3-319-68047-7ics. However, the conventional quantum Monte Carlo method cannot calculate the spin-Peierls systems efficiently. In this thesis, we will develop a general improvement of the Markov chain Monte Carlo method, a novel quantum Monte Carlo method for the nonconserved particles, and the quantum Monte Carl
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https://doi.org/10.1007/978-3-030-91775-3s the convergence and the autocorrelations for the ferromagnetic q-state Potts models and some simple models with continuous state variables. Then we will see the significant improvement by the new method, comparing to the conventional methods, such as the Metropolis and the heat bath algorithm. Our
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