Models for strongly interacting fermions in disordered clusters forming an array, with electron hopping between sites, reproduce the linear dependence on temperature of the resistivity, typical of the strange metal phase of high temperature superconducting materials [extended Sachdev-Ye-Kitaev (SYK) models]. We identify the low energy collective excitations as neutral energy excitations, diffusing in the lattice of the thermalized non-Fermi liquid phase. However, the diffusion is heavily hindered by coupling to the pseudo-Goldstone modes of the conformal broken symmetry SYK phase, which are local in space. The imaginary time evolution of the extended model in the strong interaction and $1/N$ expansion limit is presented in the incoherent nonchaotic regime. On the other hand, a Fermi electronic liquid at low energy becomes marginal when perturbed by the SYK dots. A critical temperature for superconductivity is derived, which is not BCS-like, in case the collective excitations are assumed to mediate an attractive Cooper pairing.

中文翻译：

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扩展扩散 Sachdev-Ye-Kitaev 模型中的超导临界温度

用于形成阵列的无序簇中强相互作用费米子的模型，在位点之间具有电子跳跃，再现电阻率对温度的线性依赖性，这是高温超导材料奇怪金属相的典型特征[扩展 Sachdev-Ye-Kitaev (SYK) 模型]。我们将低能量集体激发确定为中性能量激发，在热化的非费米液相的晶格中扩散。然而，由于耦合到空间局部的共形破缺对称 SYK 相的伪金石模式，扩散受到严重阻碍。强相互作用下扩展模型的虚时间演化$1/N$扩展极限呈现在非相干非混沌状态中。另一方面，当受到 SYK 点的干扰时，低能量的费米电子液体变得微不足道。推导出超导的临界温度，这与 BCS 不同，以防假设集体激发介导有吸引力的库珀配对。