Skip to main content
SpringerLink
Log in
Book cover

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

  • Book
  • © 2014

Overview

Authors:
  1. Hidemaro Suwa

    1. Department of Physics, Boston University, Boston, USA

    View author publications

    You can also search for this author in PubMed   Google Scholar

  • 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
  • Includes supplementary material: sn.pub/extras

Part of the book series: Springer Theses (Springer Theses)

This is a preview of subscription content, log in via an institution to check access.

Access this book

Log in via an institution
eBook USD 39.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Hardcover Book USD 54.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access

Licence this eBook for your library

Institutional subscriptions

Table of contents (7 chapters)

  1. Front Matter

    Pages i-xii
    Download chapter PDF

  2. Introduction

    • Hidemaro Suwa
    Pages 1-9

  3. Geometric Allocation Approach in Markov Chain Monte Carlo

    • Hidemaro Suwa
    Pages 11-42

  4. Monte Carlo Method for Spin-Peierls Systems

    • Hidemaro Suwa
    Pages 43-68

  5. Quantum Monte Carlo Level Spectroscopy

    • Hidemaro Suwa
    Pages 69-85

  6. \(XXZ\) Spin-Peierls Chain

    • Hidemaro Suwa
    Pages 87-106

  7. Multi-Chain Spin-Peierls Systems

    • Hidemaro Suwa
    Pages 107-117

  8. Summary

    • Hidemaro Suwa
    Pages 119-122

  9. Back Matter

    Pages 123-126
    Download chapter PDF
Back to top

Keywords

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.

Authors and Affiliations

  • Department of Physics, Boston University, Boston, USA

    Hidemaro Suwa

About the author

Dr.Suwa Hidemaro

Bibliographic Information

Publish with us

Policies and ethics

Back to top

Search

Navigation