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<p>We consider the Potts spin glass with additional ferromagnetic interaction parametrized by <i>t</i>. It has long been observed that the Potts color symmetry breaking for the spin glass order parameter is closely related to the ferromagnetic phase transition. To clarify this, we identify a single critical value <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="10955_2025_3499_Article_IEq1.gif" Format="GIF" Height="16" Rendition="HTML" Resolution="72" Type="Linedraw" Width="13" /> </InlineMediaObject> <EquationSource Format="TEX">\(t_\textrm{c}\)</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mi>t</mi> <mtext>c</mtext> </msub> </math></EquationSource> </InlineEquation>, which marks the onset of both color symmetry breaking and the transition to ferromagnetism.</p>

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Color symmetry and ferromagnetism in Potts spin glass

  • 期刊论文

  • 发表日期：

    2025年8月11日

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  • Hong-Bin Chen

摘要

We consider the Potts spin glass with additional ferromagnetic interaction parametrized by t. It has long been observed that the Potts color symmetry breaking for the spin glass order parameter is closely related to the ferromagnetic phase transition. To clarify this, we identify a single critical value \(t_\textrm{c}\) t c , which marks the onset of both color symmetry breaking and the transition to ferromagnetism.