Springer Theses

Geometrically Constructed Markov Chain Monte Carlo Study of Quantum Spin-phonon Complex Systems

Authors: Suwa, Hidemaro

  • 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
  • Nominated as an outstanding contribution by University of Tokyo’s Applied Physics Department in 2012
see more benefits

Buy this book

eBook $99.00
price for USA (gross)
  • ISBN 978-4-431-54517-0
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $129.00
price for USA
  • ISBN 978-4-431-54516-3
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $129.00
price for USA
  • Customers within the U.S. and Canada please contact Customer Service at 1-800-777-4643, Latin America please contact us at +1-212-460-1500 (Weekdays 8:30am – 5:30pm ET) to place your order.
  • Due: October 6, 2016
  • ISBN 978-4-431-56367-9
  • Free shipping for individuals worldwide
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
About this book

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.

About the authors

Dr.Suwa Hidemaro

Table of contents (7 chapters)

  • Introduction

    Suwa, Hidemaro

    Pages 1-9

  • Geometric Allocation Approach in Markov Chain Monte Carlo

    Suwa, Hidemaro

    Pages 11-42

  • Monte Carlo Method for Spin-Peierls Systems

    Suwa, Hidemaro

    Pages 43-68

  • Quantum Monte Carlo Level Spectroscopy

    Suwa, Hidemaro

    Pages 69-85

  • $$XXZ$$ Spin-Peierls Chain

    Suwa, Hidemaro

    Pages 87-106

Buy this book

eBook $99.00
price for USA (gross)
  • ISBN 978-4-431-54517-0
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $129.00
price for USA
  • ISBN 978-4-431-54516-3
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $129.00
price for USA
  • Customers within the U.S. and Canada please contact Customer Service at 1-800-777-4643, Latin America please contact us at +1-212-460-1500 (Weekdays 8:30am – 5:30pm ET) to place your order.
  • Due: October 6, 2016
  • ISBN 978-4-431-56367-9
  • Free shipping for individuals worldwide
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
Loading...

Recommended for you

Loading...

Bibliographic Information

Bibliographic Information
Book Title
Geometrically Constructed Markov Chain Monte Carlo Study of Quantum Spin-phonon Complex Systems
Authors
Series Title
Springer Theses
Copyright
2014
Publisher
Springer Japan
Copyright Holder
Springer Japan
eBook ISBN
978-4-431-54517-0
DOI
10.1007/978-4-431-54517-0
Hardcover ISBN
978-4-431-54516-3
Softcover ISBN
978-4-431-56367-9
Series ISSN
2190-5053
Edition Number
1
Number of Pages
XII, 126
Number of Illustrations and Tables
15 b/w illustrations, 46 illustrations in colour
Topics