Immediately after the discovery of high temperature superconductivity in the cuprates in 1987, properties in the metallic state above $T_c$ were discovered that violated the reigning paradigm in condensed matter physics: the quasiparticle concept due to Landau. The most discussed of such properties is the linear in temperature resistivity down to asymptotically low temperatures, sometimes called Planckian resistivity, above the region of the highest $T_c$. Similar anomalies have since also been discovered in the heavy-fermion compounds and in the Fe-based superconducting metals, and most recently in twisted bilayer graphene. Innumerable papers in the past three decades have pointed out that the linear in $T$ resistivity and associated properties are a mystery and the most important unsolved problem in condensed matter physics; superconductivity itself is a corollary to the normal state properties. Even in this prolifically investigated field, quantitative experimental results on crucial normal state and superconducting state properties have only recently become available. It is now possible to compare some of the detailed predictions of a theory for the normal and superconductive state in cuprates and in heavy fermions with the experiments. The theory gives the frequency and temperature dependence of various normal state properties and also their measured magnitudes in terms of the same values of two parameters. It also resolves the paradox of $d$-wave symmetry of superconductivity in the cuprates given that the scattering rate of fermions in the normal state is nearly momentum independent. The same parameters that govern the normal state anomalies are also deduced from the quantitative analysis of data in the superconducting state in cuprates. The simplicity of the results depends on the discovery of a new class of quantum-critical fluctuation in which orthogonal topological excitations in space and time determine the spectra, such that the correlations of the critical spectra are a product of a function of space and a function of time with the spatial correlation length proportional to the logarithm of the temporal correlation length. The fermions scattering with such fluctuations form a marginal Fermi liquid.

中文翻译：

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座谈会：线性的温度电阻率和相关的奥秘，包括高温超导性

1987年在铜酸盐中发现高温超导性后，金属状态立即变为 ${Ť}_C$被发现违反了凝聚态物理学中的统治范式：由于朗道的准粒子概念。此类特性中讨论最多的是温度电阻率直至最高区域上方的线性温度，直到最终温度逐渐降低，有时也称为普朗克电阻率${Ť}_C$。此后，在重铁化合物和铁基超导金属中也发现了类似的异常现象，最近在扭曲的双层石墨烯中也发现了类似的异常现象。在过去的三十年中，无数的论文指出，线性$Ť$电阻率及其相关属性是一个谜，也是凝聚态物理中最重要的未解决问题；超导本身是正常状态性质的必然结果。即使在这个经过充分研究的领域，关键的正常态和超导态性质的定量实验结果直到最近才可用。现在，有可能将铜酸盐和重费米子中正常和超导状态的理论的一些详细预测与实验进行比较。该理论根据两个参数的相同值给出了各种正常状态特性的频率和温度依赖性，以及它们的测量幅度。这也解决了悖论$d$考虑到费米子在正常状态下的散射速率几乎与动量无关，因此在铜酸盐中具有超导的波对称性。还可以从以铜酸盐表示的超导状态下的数据定量分析中得出控制正常状态异常的相同参数。结果的简单性取决于发现一类新的量子临界波动，其中空间和时间中的正交拓扑激发确定光谱，因此临界光谱的相关性是空间函数和函数的乘积时间相关性，时间相关性长度与时间相关性长度的对数成正比。以这种波动散射的费米子形成边缘费米液体。