Spin stiffness of vector spin glasses

F. Beyer, Martin Weigel

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

We study domain-wall excitations for O(m) vector spin glasses in the limit m→∞, where the energy landscape is simplified considerably compared to XY or Heisenberg models due to the complete disappearance of metastability. Using numerical ground-state calculations and appropriate pairs of complementary boundary conditions, domain-wall defects are inserted into the systems and their excitation energies are measured. This allows us to determine the stiffness exponents for lattices of a range of spatial dimensions d=2,…,7. Compiling these results, we can finally determine the lower critical dimension of the model. The outcome is compared to estimates resulting from field-theoretic calculations.
Original languageEnglish
Pages (from-to)1883–1887
JournalComputer Physics Communications
Volume182
Issue number9
DOIs
Publication statusPublished - 7 Dec 2010

Fingerprint

Spin glass
Domain walls
spin glass
domain wall
stiffness
Stiffness
Excitation energy
metastable state
Ground state
excitation
Boundary conditions
exponents
boundary conditions
Defects
ground state
energy
defects
estimates

Bibliographical note

The full text is not available on the repository.

Keywords

  • Vector spin glasses
  • Spherical limit
  • Lower critical dimension

Cite this

Spin stiffness of vector spin glasses. / Beyer, F.; Weigel, Martin.

In: Computer Physics Communications, Vol. 182, No. 9, 07.12.2010, p. 1883–1887.

Research output: Contribution to journalArticle

Beyer, F. ; Weigel, Martin. / Spin stiffness of vector spin glasses. In: Computer Physics Communications. 2010 ; Vol. 182, No. 9. pp. 1883–1887.
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