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Evidence for a trivial ground-state structure in the two-dimensional Ising spin glass

Physical Review B - Condensed Matter and Materials Physics, ISSN: 1550-235X, Vol: 60, Issue: 14, Page: R9919-R9922
1999
  • 44
    Citations
  • 0
    Usage
  • 17
    Captures
  • 0
    Mentions
  • 0
    Social Media
Metric Options:   Counts1 Year3 Year

Metrics Details

  • Citations
    44
    • Citation Indexes
      44
  • Captures
    17

Article Description

We study how the ground state of the two-dimensional Ising spin glass with Gaussian interactions in zero magnetic field changes on altering the boundary conditions. The probability that relative spin orientations change in a region far from the boundary goes to zero with the (linear) size of the system L like L, where λ=-0.70 ± 0.08. We argue that λ is equal to d-dwhere d(=2) is the dimension of the system and dis the fractal dimension of a domain wall induced by changes in the boundary conditions. Our value for dis consistent with earlier estimates. These results show that, at zero temperature, there is only a single pure state (plus the state with all spins flipped) in agreement with the predictions of the droplet model. © 1999 The American Physical Society.

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