论文标题

线性$ t $电阻率来自半神经非 - 富尔米液体模型

Linear-in-$T$ resistivity from semiholographic non-Fermi liquid models

论文作者

Douçot, Benoît, Mukhopadhyay, Ayan, Policastro, Giuseppe, Samanta, Sutapa

论文摘要

我们构建了一种半神经镜的有效理论,其中二维条带的电子与关键全息扇形的费米子操作员杂交,同时还与保留准粒子特征的其他频段进行交互。除了全息部门的费米子操作员的缩放尺寸$ν$外,有效理论还具有两个{无量纲}耦合$α$和$γ$,分别确定全息图和费米 - 液体型对自动增强的贡献。我们发现,不论选择全息关键部门的选择,都存在有效耦合的比例,我们可以在多种温度下获得线性的电阻率。当$ν$接近统一时,这种缩放持续到任意低的温度,在这种限制中,我们获得了具有特定温度自我能量温度依赖性的边际费米液体。

We construct a semiholographic effective theory in which the electron of a two-dimensional band hybridizes with a fermionic operator of a critical holographic sector, while also interacting with other bands that preserve quasiparticle characteristics. Besides the scaling dimension $ν$ of the fermionic operator in the holographic sector, the effective theory has two {dimensionless} couplings $α$ and $γ$ determining the holographic and Fermi-liquid-type contributions to the self-energy respectively. We find that irrespective of the choice of the holographic critical sector, there exists a ratio of the effective couplings for which we obtain linear-in-$T$ resistivity for a wide range of temperatures. This scaling persists to arbitrarily low temperatures when $ν$ approaches unity in which limit we obtain a marginal Fermi liquid with a specific temperature dependence of the self-energy.

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