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arXiv 2211.03083cond-mat.supr-con
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过掺杂铜氧化物超导体奇异金属相中由自旋激发的倒逆散射导致的低温T线性电阻率

Low-temperature T-linear resistivity in the strange metal phase of overdoped cuprate superconductors due to umklapp scattering from a spin excitation

Xingyu Ma, Minghuan Zeng, Zhangkai Cao, Shiping Feng

AI总结:

本研究针对过掺杂铜氧化物超导体奇异金属相低温T线性电阻率的起源问题,通过推导自旋激发介导的电子倒逆散射输运散射率并结合玻尔兹曼方程计算,揭示了反节点与节点倒逆散射的主导作用及不同温区的电阻率行为,阐明了该自旋激发同时介导配对与散射的双重角色。

摘要:

过掺杂铜氧化物超导体的奇异金属相在低温下呈现电阻率随温度线性变化的特性,然而这一显著反常现象的起源仍未得到充分理解。本文研究了过掺杂铜氧化物超导体奇异金属相中电阻率的线性温度依赖关系。作者推导了由电子间通过交换自旋激发产生的倒逆散射所引起的输运散射率的动量依赖关系,并利用玻尔兹曼方程计算了电阻率。研究表明,电阻率主要由反节点和节点处的倒逆散射主导。特别地,存在一个极低的特征温度$T_{\ m scale}$,其与$Δ^{2}_{p}$成正比,其中$Δ_{p}$是反节点处的最小倒逆矢量。在高于$T_{\ m scale}$的低温区间,电阻率随温度线性变化,且温度线性系数随掺杂浓度的升高而减小;而在远低于$T_{\ m scale}$的温度区间,电阻率则随温度呈二次方变化。该理论还表明,同一种既作为玻色型胶黏剂将电子对结合在一起的自旋激发,也介导了奇异金属相中的电子散射,正是这一散射导致了低温下的电阻率线性温度依赖关系。

英文摘要:

The strange-metal phase of overdoped cuprate superconductors exhibits a linear in temperature resistivity in the low temperature, however, the origin of this remarkable anomaly is still not well understood. Here the linear temperature dependence of the resistivity in the strange-metal phase of overdoped cuprate superconductors is investigated. The momentum dependence of the transport scattering rate arising from the umklapp scattering between electrons by the exchange of the spin excitations is derived and employed to calculate the resistivity by making use of the Boltzmann equation. It is shown that the resistivity is mainly dominated by the antinodal and nodal umklapp scattering. In particular, a very low temperature $T_{\rm scale}$ scales with $Δ^{2}_{p}$, where $Δ_{p}$ is the minimum umklapp vector at the antinode. In the low temperature above $T_{\rm scale}$, the resistivity is linear in temperature with the temperature linear coefficient that decreases with the increase of doping, however, in the far lower temperature below $T_{\rm scale}$, the resistivity is instead quadratic in temperature. The theory also shows that the same spin excitation that acts like a bosonic glue to hold the electron pairs together also mediates scattering of electrons in the strange-metal phase responsible for the linear in temperature resistivity in the low temperature.

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