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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https://doi.org/10.1007/978-4-431-54517-0Breaking of Detailed Balance; Extended Directed-Loop Algorithm; Frustrated Quantum Spin System; Geometr

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Introduction,a geometric structure or a long-range interaction. The farther spin interactions than the nearest sites stem from a coupling with other degrees of freedom in many realistic materials. Among them, the spin-lattice interaction has a large contribution for the effective spin interaction, and the spin-P

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Accolade

Monte Carlo Method for Spin-Peierls Systems,ne representation has been applied to a wide variety of quantum spin and boson systems. Although the method has performed well for many quantum systems, the conventional methods cannot efficiently calculate particle-number nonconserving systems, such as the spin-Peierls model. Summing up the difficu

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, Spin-Peierls Chain,er. As we explained in Chap. ., the conventional quantum Monte Carlo methods cannot efficiently calculate the model. Then, for overcoming the difficulty, we will apply the new Monte Carlo update techniques and the analysis that we developed in Chap. .–.. We will show the precise transition point and

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Multi-Chain Spin-Peierls Systems,be discussed where the biquadratic spin-interaction term appears by tracing out the lattice degree of freedom. Considering the scaling dimension of the interaction, the ground state of the multi-chain and the two-dimensional system will have the dimer order when the interchain interaction is unfrust

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2190-5053 articles and combines it with the excitation level analysis.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

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,Conclusions – Educational Discourses,rastic property about the instability to dimerization of the one-dimensional metal as early as 50’s. The lattice degree of freedom, there, was treated .; that is, it was approximated as a classical parameter.