About the Almeida-Thouless transition line in the Sherrington-Kirkpatrick mean-field spin glass model
About the Almeida-Thouless transition line in the Sherrington-Kirkpatrick mean-field spin glass model
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关于 Sherrington-Kirkpatrick 平均场自旋玻璃模型中的 Almeida-Thouless 过渡线
DOI：
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发表时间：
2002
期刊：
影响因子：
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通讯作者：
F. L. Toninelli
中科院分区：
文献类型：
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作者：
F. L. Toninelli
我们考虑Sherrington-Kirkpatrick模型，证明了对于Almeida-Thouless线以下的温度和磁场的所有值，每个自旋的猝灭自由能严格大于相应的副本对称近似。这意味着在整个预期的自旋玻璃相中，复制品对称性被破坏。
We consider the Sherrington-Kirkpatrick model and we prove that the quenched free energy per spin is strictly larger than the corresponding replica symmetric approximation, for all values of the temperature and of the magnetic field below the Almeida-Thouless line. This implies the breaking of replica symmetry in the whole expected spin glass phase.