Coverart for item
The Resource Geometrically Constructed Markov Chain Monte Carlo Study of Quantum Spin-phonon Complex Systems, by Hidemaro Suwa, (electronic resource)

Geometrically Constructed Markov Chain Monte Carlo Study of Quantum Spin-phonon Complex Systems, by Hidemaro Suwa, (electronic resource)

Label
Geometrically Constructed Markov Chain Monte Carlo Study of Quantum Spin-phonon Complex Systems
Title
Geometrically Constructed Markov Chain Monte Carlo Study of Quantum Spin-phonon Complex Systems
Statement of responsibility
by Hidemaro Suwa
Creator
Contributor
Author
Subject
Language
eng
Summary
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
Member of
Is part of
Image bit depth
0
Literary form
non fiction
Series statement
Springer Theses, Recognizing Outstanding Ph.D. Research,
Geometrically Constructed Markov Chain Monte Carlo Study of Quantum Spin-phonon Complex Systems, by Hidemaro Suwa, (electronic resource)
Label
Geometrically Constructed Markov Chain Monte Carlo Study of Quantum Spin-phonon Complex Systems, by Hidemaro Suwa, (electronic resource)
Link
http://libproxy.rpi.edu/login?url=http://dx.doi.org/10.1007/978-4-431-54517-0
Publication
Related Contributor
Related Location
Related Agents
Related Authorities
Related Subjects
Related Items
Antecedent source
mixed
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Color
not applicable
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Contents
Introduction -- 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
http://library.link/vocab/cover_art
https://contentcafe2.btol.com/ContentCafe/Jacket.aspx?Return=1&Type=S&Value=9784431545170&userID=ebsco-test&password=ebsco-test
Dimensions
unknown
http://library.link/vocab/discovery_link
{'f': 'http://opac.lib.rpi.edu/record=b3552214'}
Extent
XII, 126 p. 61 illus., 46 illus. in color.
File format
multiple file formats
Form of item
electronic
Isbn
9784431545170
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
c
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote

Library Locations

    • Folsom LibraryBorrow it
      110 8th St, Troy, NY, 12180, US
      42.729766 -73.682577
Processing Feedback ...