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arXiv 1202.4820cond-mat.str-elcond-mat.supr-con
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各向异性边界费米液体模型下过掺杂铜氧化物超导体金属态的输运性质

Transport properties of the metallic state of overdoped cuprate superconductors from an anisotropic marginal Fermi liquid model

Jure Kokalj, Nigel E. Hussey, Ross H. McKenzie

摘要:

我们考虑了过掺杂铜氧化物超导体金属相的电荷输运性质的唯象模型自能的含义。自能是两项的和,其特征依赖于温度、频率、费米表面上的位置和掺杂。第一项在费米表面上是各向同性的,与掺杂无关,并且具有费米液体的频率和温度依赖特性。第二项在费米表面上是各向异性的(在与超导能隙相同的点处消失),随着掺杂而强烈变化(大致与$T_c$,超导转变温度成比例),并且具有边缘费米液体的频率和温度依赖特性。先前已经表明,这种自能可以描述一系列实验数据,包括角相关磁阻(ADMR)和准粒子重整化确定的比热,量子振荡和角分辨光发射光谱(ARPES)。在不引入新参数和忽略顶点修正的情况下,我们证明了该模型自能可以定量描述Tl2201样品的一系列输运性质的温度和掺杂依赖性。这些包括层内电阻率,频率相关的光学电导率,层内磁阻,和霍尔系数。后两者的温度依赖性对散射率的各向异性和费米面的形状特别敏感。与此相反,霍尔角的温度依赖性是由费米液体的贡献决定的费米表面的节点区域中的散射率的自能占主导地位。

英文摘要:

We consider the implications of a phenomenological model self-energy for the charge transport properties of the metallic phase of the overdoped cuprate superconductors. The self-energy is the sum of two terms with characteristic dependencies on temperature, frequency, location on the Fermi surface, and doping. The first term is isotropic over the Fermi surface, independent of doping, and has the frequency and temperature dependence characteristic of a Fermi liquid. The second term is anisotropic over the Fermi surface (vanishing at the same points as the superconducting energy gap), strongly varies with doping (scaling roughly with $T_c$, the superconducting transition temperature), and has the frequency and temperature dependence characteristic of a marginal Fermi liquid. Previously it has been shown this self-energy can describe a range of experimental data including angle-dependent magnetoresistance (ADMR) and quasi-particle renormalisations determined from specific heat, quantum oscillations, and angle-resolved photo-emission spectroscopy (ARPES). Without introducing new parameters and neglecting vertex corrections we show that this model self-energy can give a quantitative description of the temperature and doping dependence of a range of reported transport properties of Tl2201 samples. These include the intra-layer resistivity, the frequency dependent optical conductivity, the intra-layer magnetoresistance, and the Hall coefficient. The temperature dependence of the latter two are particularly sensitive to the anisotropy of the scattering rate and to the shape of the Fermi surface. In contrast, the temperature dependence of the Hall angle is dominated by the Fermi liquid contribution to the self-energy that determines the scattering rate in the nodal regions of the Fermi surface.

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