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Summary

  • Hidemaro Suwa
Chapter
Part of the Springer Theses book series (Springer Theses)

Abstract

In this thesis, we have developed the novel Monte Carlo methods and investigated precisely the critical phenomena of the spin-Peierls systems. The key theme is that the quantum lattice fluctuation introduces the spin frustration. The concept of the Peierls transition originates from the simple but drastic property about the instability to dimerization of the one-dimensional metal as early as 50’s. The lattice degree of freedom, there, was treated adiabatically; that is, it was approximated as a classical parameter.

Keywords

General improvement of Markov chain Monte Carlo Extended directed-loop algorithm Quantum Monte Carlo level spectroscopy Frustrated quantum spin system 

References

  1. 1.
    Hase, M., Terasaki, I., & Uchinokura, K. (1993). Observation of the spin-Peierls transition in linear Cu\(^{2+}\) (spin-\(\frac{1}{2})\) chains in an inorganic compound CuGeO\(_3\). Physical Review Letters, 70, 3651.ADSCrossRefGoogle Scholar
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    Nomura, K., & Okamoto, K. (1994). Critical properties of \(S=\frac{1}{2}\) antiferromagnetic XXZ chain with next-nearest-neighbour interactions. Journal of Physics A: Mathematical and General, 27, 5773.Google Scholar
  3. 3.
    Sun, P., Schmeltzer, D., & Bishop, A. R. (2000). Analytic approach to the one-dimensional spin-Peierls system in the entire frequency range. Physical Review B, 62, 11308–11311.Google Scholar

Copyright information

© Springer Japan 2014

Authors and Affiliations

  1. 1.Department of PhysicsBoston UniversityBostonUSA

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