On superuniversality in the q-state Potts model with quenched disorder
On superuniversality in the q-state Potts model with quenched disorder
复制标题
具有淬灭无序的 q 态 Potts 模型中的超普遍性
DOI：
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发表时间：
2017
期刊：
影响因子：
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通讯作者：
E. Tartaglia
中科院分区：
文献类型：
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作者：
G. Delfino;E. Tartaglia
我们获得了具有复制排列对称性 Sq 的二维场论的精确尺度不变散射解。将副本数量发送到零后，它们对应于具有淬灭无序的 q 状态 Potts 模型的重整化群不动点。我们发现所有非零无序的解都具有 q 独立扇区，这表明某些关键指数具有超普遍性（即对称独立性）。对应于随机键铁磁体的解，其无序随着 q→2 消失，允许相关长度指数 ν 的超普遍性（Delfino 2017 Phys. Rev. Lett. 118 250601）。在对于所有 q 值都强烈无序的两种解中，一种是完全与 q 无关的，并且解释了随机键稀释铁磁体的零温度渗流固定点。另一个是描述具有 ±J 无序的 Potts 模型的类西森不动点的主要候选者，并为磁指数 η 的超普遍性留下了空间，这种可能性尚未被可用的数值数据排除。
We obtain the exact scale invariant scattering solutions for two-dimensional field theories with replicated permutational symmetry Sq. After sending to zero the number of replicas they correspond to the renormalization group fixed points of the q-state Potts model with quenched disorder. We find that all solutions with non-zero disorder possess q-independent sectors, pointing to superuniversality (i.e. symmetry independence) of some critical exponents. The solution corresponding to the random bond ferromagnet, for which disorder vanishes as q→2, allows for superuniversality of the correlation length exponent ν (Delfino 2017 Phys. Rev. Lett. 118 250601). Of the two solutions which are strongly disordered for all values of q, one is completely q-independent and accounts for the zero-temperature percolation fixed point of the randomly bond diluted ferromagnet. The other is the main candidate to describe the Nishimori-like fixed point of the Potts model with ±J disorder, and leaves room for superuniversality of the magnetic exponent η, a possibility not yet excluded by available numerical data.