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Linear-in temperature resistivity from an isotropic Planckian scattering rate
Nature ( IF 64.8 ) Pub Date : 2021-07-28 , DOI: 10.1038/s41586-021-03697-8
Gaël Grissonnanche 1, 2, 3 , Yawen Fang 2 , Anaëlle Legros 1, 4 , Simon Verret 1 , Francis Laliberté 1 , Clément Collignon 1 , Jianshi Zhou 5 , David Graf 6 , Paul A Goddard 7 , Louis Taillefer 1, 8 , B J Ramshaw 2, 8
Affiliation  

A variety of ‘strange metals’ exhibit resistivity that decreases linearly with temperature as the temperature decreases to zero1,2,3, in contrast to conventional metals where resistivity decreases quadratically with temperature. This linear-in-temperature resistivity has been attributed to charge carriers scattering at a rate given by ħ/τ = αkBT, where α is a constant of order unity, ħ is the Planck constant and kB is the Boltzmann constant. This simple relationship between the scattering rate and temperature is observed across a wide variety of materials, suggesting a fundamental upper limit on scattering—the ‘Planckian limit’4,5—but little is known about the underlying origins of this limit. Here we report a measurement of the angle-dependent magnetoresistance of La1.6−xNd0.4SrxCuO4—a hole-doped cuprate that shows linear-in-temperature resistivity down to the lowest measured temperatures6. The angle-dependent magnetoresistance shows a well defined Fermi surface that agrees quantitatively with angle-resolved photoemission spectroscopy measurements7 and reveals a linear-in-temperature scattering rate that saturates at the Planckian limit, namely α = 1.2 ± 0.4. Remarkably, we find that this Planckian scattering rate is isotropic, that is, it is independent of direction, in contrast to expectations from ‘hotspot’ models8,9. Our findings suggest that linear-in-temperature resistivity in strange metals emerges from a momentum-independent inelastic scattering rate that reaches the Planckian limit.



中文翻译:

来自各向同性普朗克散射率的线性温度电阻率

与电阻率随温度呈二次方下降的传统金属相比,各种“奇怪金属”的电阻率随着温度降低至零1,2,3而随温度呈线性下降。这种线性温度电阻率归因于电荷载流子以ħ / τ  =  αk B T给出的速率散射,其中α是有序单位常数,ħ是普朗克常数,k B是玻尔兹曼常数。散射率和温度之间的这种简单关系在多种材料中都可以观察到,这表明散射有一个基本的上限——“普朗克极限” 4,5——但对该极限的潜在起源知之甚少。在这里,我们报告了 La 1.6− x Nd 0.4 Sr x CuO 4的角度相关磁阻测量——一种空穴掺杂铜酸盐,在低至最低测量温度时显示出线性温度电阻率6。角度相关的磁阻显示出一个定义明确的费米面,在数量上与角度分辨光电子能谱测量结果一致7并揭示了在普朗克极限处饱和的线性温度散射率,即α  = 1.2 ± 0.4。值得注意的是,我们发现这个普朗克散射率是各向同性的,也就是说,它与方向无关,这与“热点”模型8,9的预期相反。我们的研究结果表明,奇怪金属的线性温度电阻率来自达到普朗克极限的与动量无关的非弹性散射率。

更新日期:2021-07-28
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