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Ising spin-glass transition in a magnetic field outside the limit of validity of mean-field theory.

Physical review letters · 2009 · Unclear · Insufficient evidence

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UnclearInsufficient evidencePaper 3328

Using a diluted one-dimensional long-range Ising spin model with exchange-bond probability decaying as an inverse power of distance, the authors report evidence for a spin-glass transition in a magnetic field. They also report evidence for such a transition f…

Study snapshot

PublicationPhysical review letters · 2009
Study typeother
Reported directionUnclear
Evidence ratingInsufficient

Abstract

The spin-glass transition in a magnetic field is studied both in and out of the limit of validity of mean-field theory on a diluted one dimensional chain of Ising spins where exchange bonds occur with a probability decaying as the inverse power of the distance. Varying the power in this long-range model corresponds, in a one-to-one relationship, to changing the dimension in spin-glass short-range models. Evidence for a spin-glass transition in a magnetic field is found also for systems whose equivalent dimension is below the upper critical dimension in a zero magnetic field.

Machine Enhanced Logic

AI evidence extraction

Structured fields below were generated from the paper’s abstract and metadata to make the evidence easier to inspect. Automated extraction may be incomplete or incorrect; verify important details against the original paper.

Study typeother
Effect directionunclear
PopulationNot supplied
Sample sizeNot supplied
ExposureNot supplied
Evidence strengthInsufficientConfidence: 74% · Peer reviewed: yes

Main findings

Using a diluted one-dimensional long-range Ising spin model with exchange-bond probability decaying as an inverse power of distance, the authors report evidence for a spin-glass transition in a magnetic field. They also report evidence for such a transition for systems whose equivalent dimension is below the upper critical dimension in zero magnetic field.

Outcomes measured

  • Spin-glass transition in a magnetic field
  • Evidence for spin-glass transition below upper critical dimension (equivalent dimension mapping)
View raw extracted JSON
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  "study_type": "other",
  "exposure": {
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  "population": null,
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  "outcomes": [
    "Spin-glass transition in a magnetic field",
    "Evidence for spin-glass transition below upper critical dimension (equivalent dimension mapping)"
  ],
  "main_findings": "Using a diluted one-dimensional long-range Ising spin model with exchange-bond probability decaying as an inverse power of distance, the authors report evidence for a spin-glass transition in a magnetic field. They also report evidence for such a transition for systems whose equivalent dimension is below the upper critical dimension in zero magnetic field.",
  "effect_direction": "unclear",
  "limitations": [],
  "evidence_strength": "insufficient",
  "confidence": 0.74,
  "peer_reviewed_likely": "yes",
  "keywords": [
    "Ising spins",
    "spin glass",
    "magnetic field",
    "mean-field theory",
    "long-range model",
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    "diluted one-dimensional chain"
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  "suggested_hubs": []
}
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AI-extracted fields are generated from the abstract and metadata and may be incomplete or incorrect. This material is for informational purposes and is not medical advice.

Identifiers and source

DOI: 10.1103/physrevlett.103.267201
PubMed: 20366338

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