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arXiv 2004.05182cond-mat.str-elhep-th
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从时间重新参数化软模式看零温极限温度电阻率线性

Linear in temperature resistivity in the limit of zero temperature from the time reparameterization soft mode

Haoyu Guo, Yingfei Gu, Subir Sachdev

摘要:

相关电子化合物的“奇怪金属”行为最令人困惑的方面是,温度电阻率的线性通常延伸到低温,低于自然的微观能量尺度。我们考虑最近提出的解除限制临界点(或阶段)的模型中的电子在大尺寸晶格与随机最近邻交换相互作用。临界性属于Sachdev-Ye-Kitaev模型类,并表现出时间重参数化软模式,代表了对偶全息理论中的引力。我们计算了具有SU($M$)自旋对称性的模型在大$M$极限下的低温电阻率,发现主要的温度依赖性来自于这种软模.电阻率在温度下到临界点的零温度是线性的,其系数普遍与剩余电阻率和线性温度比热系数的乘积成比例。我们认为,时间重新参数化软模式提供了一个有前途的和通用的机制,解决奇怪的金属之谜。

英文摘要:

The most puzzling aspect of the 'strange metal' behavior of correlated electron compounds is that the linear in temperature resistivity often extends down to low temperatures, lower than natural microscopic energy scales. We consider recently proposed deconfined critical points (or phases) in models of electrons in large dimension lattices with random nearest-neighbor exchange interactions. The criticality is in the class of Sachdev-Ye-Kitaev models, and exhibits a time reparameterization soft mode representing gravity in dual holographic theories. We compute the low temperature resistivity in a large $M$ limit of models with SU($M$) spin symmetry, and find that the dominant temperature dependence arises from this soft mode. The resistivity is linear in temperature down to zero temperature at the critical point, with a co-efficient universally proportional to the product of the residual resistivity and the co-efficient of the linear in temperature specific heat. We argue that the time reparameterization soft mode offers a promising and generic mechanism for resolving the strange metal puzzle.

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