Universal T-linear resistivity and Planckian dissipation in overdoped cuprates
Universal T-linear resistivity and Planckian dissipation in overdoped cuprates
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DOI：
10.1038/s41567-018-0334-2
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发表时间：
2019-02-01
期刊：
影响因子：
19.6
通讯作者：
Proust, C.
中科院分区：
文献类型：
--
作者：
Legros, A.;Benhabib, S.;Proust, C.
在接近量子临界点(1-4)的各种金属中观察到的T>；0与温度的完美线性关系是凝聚态物理学的一个主要难题。在这里，我们证明了T-线性电阻率T->；0是铜酸盐的一般性质，与普适散射率有关。我们测量了双层铜酸盐Bi2Sr2CaCu2O8+Delta的低温电阻率，发现它与单层铜酸盐Bi2Sr2CuO6+Delta(参考文献(6))、La1.6-xNd0.4SrxCuO4(参考文献(7))和La2-xSrxCuO4(参考文献(8))的低温电阻率呈T线性关系，尽管它们的费米面和结构、超导和磁性非常不同。然后我们证明了T-线性系数A(1)(平方)由普适关系式A(1)(平方)T(F)=h/2e(2)给出，其中e是电子电荷，h是普朗克常数，T-F是费米温度。假设载流子的散射率1/tau达到普朗克极限(9，10)，由此h/tau=k(B)T，得到的这个关系不仅适用于空穴掺杂的铜酸盐(6-8，11，12)，也适用于电子掺杂的铜酸盐(13，14)，尽管它们的量子临界点和电子关联强度的性质不同。
The perfectly linear temperature dependence of the electrical resistivity observed as T -> 0 in a variety of metals close to a quantum critical point(1-4) is a major puzzle of condensed-matter physics(5). Here we show that T-linear resistivity as T -> 0 is a generic property of cuprates, associated with a universal scattering rate. We measured the low-temperature resistivity of the bilayer cuprate Bi2Sr2CaCu2O8+delta and found that it exhibits a T-linear dependence with the same slope as in the single-layer cuprates Bi2Sr2CuO6+delta (ref.(6)), La1.6-xNd0.4SrxCuO4 (ref.(7)) and La2-xSrxCuO4 (ref.(8)), despite their very different Fermi surfaces and structural, superconducting and magnetic properties. We then show that the T-linear coefficient (per CuO2 plane), A(1)(square), is given by the universal relation A(1)(square)T(F) = h/2e(2), where e is the electron charge, h is the Planck constant and T-F is the Fermi temperature. This relation, obtained by assuming that the scattering rate 1/tau of charge carriers reaches the Planckian limit(9,10), whereby h/tau = k(B)T, works not only for hole-doped cuprates(6-8,11,12) but also for electron-doped cuprates(13,14), despite the different nature of their quantum critical point and strength of their electron correlations.