@article{696005,
      recid = {696005},
      author = {Suwa, Hidemaro,},
      title = {Geometrically constructed Markov chain Monte Carlo study  of quantum spin-phonon complex systems [electronic  resource]  /},
      school = {Ph.D.},
      pages = {1 online resource.},
      abstract = {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.},
      url = {http://library.usi.edu/record/696005},
      doi = {https://doi.org/10.1007/978-4-431-54517-0},
}