| 书目名称 | Geometrically Constructed Markov Chain Monte Carlo Study of Quantum Spin-phonon Complex Systems |
| 编辑 | Hidemaro Suwa |
| 视频video | |
| 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. |
| 丛书名称 | Springer Theses |
| 图书封面 |  |
| 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 |
| 关键词 | Breaking of Detailed Balance; Extended Directed-Loop Algorithm; Frustrated Quantum Spin System; Geometr |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-4-431-54517-0 |
| isbn_softcover | 978-4-431-56367-9 |
| isbn_ebook | 978-4-431-54517-0Series ISSN 2190-5053 Series E-ISSN 2190-5061 |
| issn_series | 2190-5053 |
| copyright | Springer Japan 2014 |
发表于 2025-3-21 19:33:09
