In this article, I review progress towards an understanding of the normal state (in-plane) transport properties of high-$T_c$ cuprates in the light of recent developments in both spectroscopic and transport measurement techniques. Against a backdrop of mounting evidence for anisotropic single-particle lifetimes in cuprate superconductors, new results have emerged that advocate similar momentum dependence in the transport decay rate $Γ$({\bf k}). In addition, enhancement of the energy scale (up to the bare bandwidth) over which spectroscopic information on the quasiparticle response can be obtained has led to the discovery of new, unforeseen features that surprisingly, may have a significant bearing on the transport properties at the dc limit. With these two key developments in mind, I consider here whether all the ingredients necessary for a complete phenomenological description of the anomalous normal state transport properties of high-$T_c$ cuprates are now in place.
Recently, we have argued that experimental data on superfluid density and terahertz conductivity of overdoped LSCO are compatible with a Landau Fermi liquid/Bardeen-Cooper-Schrieffer description of these samples, provided dopants are treated within "dirty $d$-wave theory" as weak scatterers. Here we test these ideas by comparing to specific heat and thermal conductivity data on LSCO, showing that the theory works extremely well across the overdoped region for similar disorder parameters. We then study the same properties in another overdoped cuprate, Tl-2201, thought to be quite "clean" since …
Nuclear relaxation is an important thermodynamic probe of electronic excitations, in particular in conducting and superconducting systems. Here, an empirical phenomenology based on all available literature data for planar Cu in hole-doped cuprates is developed. It is found that most of the seemingly different relaxation rates among the systems are due to a temperature independent anisotropy that affects the mostly measured $1/T_{1\parallel}$, the rate with an external magnetic field along the crystal $c$-axis, while $1/T_{1\perp}$ is largely independent on doping and material above the critica…
The origin of the weak insulating behavior of the resistivity, i.e. $ρ_{xx}\propto\ln(1/T)$, revealed when magnetic fields ($H$) suppress superconductivity in underdoped cuprates has been a longtime mystery. Surprisingly, the high-field behavior of the resistivity observed recently in charge- and spin-stripe-ordered La-214 cuprates suggests a metallic, as opposed to insulating, high-field normal state. Here we report the vanishing of the Hall coefficient in this field-revealed normal state for all $T<(2-6)T_{\mathrm{c}}^{0}$, where $T_{\mathrm{c}}^{0}$ is the zero-field superconducting transit…
The Low-Temperature Phenomenology of Gap Inhomogeneity in the Cuprate Superconductors: High-Energy Granularity, Low-Energy Homogeneity, and Spectral Kinks
Planar normal state resistivity data taken from three families of cuprate superconductors are compared with theoretical calculations from the recent extremely correlated Fermi liquid theory (ECFL). The two hole doped cuprate materials $LSCO$ and $BSLCO$ and the electron doped material $LCCO$ have yielded rich data sets at several densities $δ$ and temperatures T, thereby enabling a systematic comparison with theory. The recent ECFL resistivity calculations for the highly correlated $t$-$t'$-$J$ model by us give the resistivity for a wide set of model parameters. After using X-ray diffraction a…
Extremely Correlated Fermi Liquid Description of Normal State ARPES in Cuprates
用角分辨光电子能谱学（ARPES）测量的高温超导铜氧化物正常态单粒子谱函数，被认为是反常的，也是理解的关键。在这里，我们表明，一个前所未有的详细描述的数据所产生的光谱函数的极其相关的费米液态的t-J模型最近提出的Shastry。本说明书包括关于最佳掺杂的Bi $_2$ Sr $_2$ CaCu $_2$ O $_{8+δ}$的激光和常规同步加速器ARPES数据，以及关于La $_{1.85}$ Sr $_{0.15}$ CuO $_4$材料的常规同步加速器ARPES数据。{ \em它适用于具有相同物理参数值的所有数据集}，满足粒子求和规则，并成功解决了色散中两个广泛讨论的“扭结”异常。
A review of the phenomenology and microscopy of cuprate superconductors is presented, with particular attention to universal conductance features, which reveal the existence of two electronic subsystems. The overall electronic system consists of $1+p$ charges, where $p$ is the doping. At low dopings exactly one hole is localized per planar copper-oxygen unit, while upon increasing doping and temperature, the hole is gradually delocalized and becomes itinerant. Remarkably, the itinerant holes exhibit identical Fermi-liquid character across the cuprate phase diagram. This universality enables a …
Diamagnetism of real-space pairs above Tc in hole doped cuprates
Lu Li等人[Phys.Rev.B81，054510（2010）]报道的非线性正常态抗磁性显示出与在电阻性临界温度以上的广受好评的库珀配对和涡旋液体不相容。相反，它与实空间组成玻色子的正常态朗道抗磁性完全兼容，朗道抗磁性描述了在整个可用磁场范围内，各向异性较小的铜酸盐La-Sr-Cu-O（LSCO）和Y-Ba-Cu-O（YBCO）以及强各向异性铋基铜酸盐的非线性磁化曲线。
Evolution of Fermi surface and normal-state gap in chemically substituted cuprates Bi$_{2}$Sr$_{2-x}$Bi$_{x}$CuO$_{6+δ}$
我们对化学取代的铜酸盐Bi $_{2}$ Sr $_{2-x}$ Bi $_{x}$ CuO $_{6+δ}$进行了系统的角分辨光电子能谱研究。我们观察到费米表面积与Bi取代含量$x$线性收缩，反映了这种化学取代的电子掺杂性质。此外，谱线宽度随着$x$的增加而迅速加宽，并且在超导-绝缘边界处变得完全不相干。在轻欠掺杂区观察到的d波状正常态带隙逐渐演变成大的软带隙，这在激发能量和温度方面线性地抑制了波腹光谱权重。结合在相同样品上获得的体电阻率数据，我们建立了在非常欠掺杂制度的库仑隙行为的出现。我们的研究结果揭示了高$T_c$铜酸盐中离面化学取代的双重作用，即掺杂和无序，并阐明了强关联和无序导致的量子电子态的本质.
The anisotropy of the electron scattering rate and lifetime $Γ_\mathbf{p}=1/τ_\mathbf{p}$ observed by Angle Resolved Photoemission Spectroscopy (ARPES) is evaluated using $s$-$d$ Kondo-Zener exchange Hamiltonian used previously to describe superconducting properties of high-$T_c$ cuprates; for correlation between critical temperature $T_c$ and BCS coupling constant, for example. The performed qualitative analysis reveals that "cold spots" correspond to nodal regions of the superconducting phase where the superconducting gap is zero, because the exchange interaction is annulled. Vice versa, "ho…
