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<p>We determine the structure of the Parisi measure at zero temperature for the spherical <InlineEquation ID="IEq4"> <EquationSource Format="TEX">\(p+s\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi>p</mi> <mo>+</mo> <mi>s</mi> </mrow> </math></EquationSource> </InlineEquation> spin glass model. We show that depending on the values of <i>p</i> and <i>s</i>, four scenarios may emerge, including the existence of 1-FRSB and 2-FRSB phases as predicted by Crisanti and Leuzzi (Private communication, 2022, Phys Rev B 73:014412, 2006). We also provide consequences for the model at low temperatures.</p>

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The Spherical \(p+s\) Spin Glass at Zero Temperature

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年11月20日

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  • Antonio Auffinger,
  • Yuxin Zhou

摘要

We determine the structure of the Parisi measure at zero temperature for the spherical \(p+s\) p + s spin glass model. We show that depending on the values of p and s, four scenarios may emerge, including the existence of 1-FRSB and 2-FRSB phases as predicted by Crisanti and Leuzzi (Private communication, 2022, Phys Rev B 73:014412, 2006). We also provide consequences for the model at low temperatures.