Abstract
The three-dimensional Ising spin-glass in zero field with nearest-neighbor interactions having \ifmmode\pm\else\textpm\fi{}J distribution is studied by Monte Carlo simulations for samples of linear dimension L with 3\ensuremath{\le}L\ensuremath{\le}20. Results for the probability distribution, ${\mathrm{P}}_{\mathrm{L}}$(q), of the spin-glass order parameter are analyzed by finite-size scaling. Data for T\ensuremath{\ge}1.2 are consistent with a conventional phase transition at ${\mathrm{T}}_{\mathrm{c}}$${=1.2}_{\mathrm{\ensuremath{-}}0.2}^{+0.1}$, with exponents \ensuremath{\nu}=1.3\ifmmode\pm\else\textpm\fi{}0.3 and \ensuremath{\eta}=-0.3\ifmmode\pm\else\textpm\fi{}0.2. However, results at lower temperature indicate marginal behavior and suggest that the lower critical dimensional is close to three.
Keywords
PhysicsSpin glassIsing modelCondensed matter physicsOrder (exchange)Ising spinScalingDimension (graph theory)Phase transitionDistribution (mathematics)Spin (aerodynamics)Monte Carlo methodMathematical physicsCombinatoricsStatisticsMathematicsThermodynamicsMathematical analysis
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Publication Info
- Year
- 1985
- Type
- article
- Volume
- 54
- Issue
- 9
- Pages
- 924-927
- Citations
- 387
- Access
- Closed
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Cite This
R. N. Bhatt,
A. P. Young
(1985).
Search for a transition in the three-dimensional J Ising spin-glass.
Physical Review Letters
, 54
(9)
, 924-927.
https://doi.org/10.1103/physrevlett.54.924
Identifiers
- DOI
- 10.1103/physrevlett.54.924
- PMID
- 10031656