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001 978-4-431-54517-0
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005 20140220082525.0
007 cr nn 008mamaa
008 131105s2014 ja | s |||| 0|eng d
020 _a9784431545170
_9978-4-431-54517-0
024 7 _a10.1007/978-4-431-54517-0
_2doi
050 4 _aQC173.96-174.52
072 7 _aPHQ
_2bicssc
072 7 _aSCI057000
_2bisacsh
082 0 4 _a530.12
_223
100 1 _aSuwa, Hidemaro.
_eauthor.
245 1 0 _aGeometrically Constructed Markov Chain Monte Carlo Study of Quantum Spin-phonon Complex Systems
_h[electronic resource] /
_cby Hidemaro Suwa.
264 1 _aTokyo :
_bSpringer Japan :
_bImprint: Springer,
_c2014.
300 _aXII, 126 p. 61 illus., 46 illus. in color.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aSpringer Theses, Recognizing Outstanding Ph.D. Research,
_x2190-5053
505 0 _aIntroduction -- Geometric Allocation Approach in Markov Chain Monte Carlo -- Monte Carlo Method for Spin-Peierls Systems -- Quantum Monte Carlo Level Spectroscopy -- XXZ Spin-Peierls Chain -- Multi-chain Spin-Peierls Systems -- Summary.
520 _aIn 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.
650 0 _aPhysics.
650 0 _aComputer simulation.
650 0 _aQuantum theory.
650 0 _aEngineering mathematics.
650 1 4 _aPhysics.
650 2 4 _aQuantum Physics.
650 2 4 _aNumerical and Computational Physics.
650 2 4 _aQuantum Information Technology, Spintronics.
650 2 4 _aSimulation and Modeling.
650 2 4 _aAppl.Mathematics/Computational Methods of Engineering.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9784431545163
830 0 _aSpringer Theses, Recognizing Outstanding Ph.D. Research,
_x2190-5053
856 4 0 _uhttp://dx.doi.org/10.1007/978-4-431-54517-0
912 _aZDB-2-PHA
999 _c93700
_d93700