标题： 霍姆斯定律与普朗克普遍松弛 显示英文标题

标题： Homes' Law and Universal Planckian Relaxation

摘要： 根据扎嫩对霍姆斯经验定律的解释~[扎嫩，{\it 自然} {\bf 430}，512（2004）]，铜氧化物的超导转变温度较高是因为它们的金属态粘度达到了量子力学所允许的最大程度。 在这里，我们表明霍姆斯定律实际上暗示了三个关键点：(i) 在转变温度附近的正常态下，电阻率与温度呈线性关系；(ii) 松弛率与温度的比例系数的无量纲系数约为一——即所谓的普朗克型普遍松弛率；(iii) 此定律的对数宽范围适用性源于铜氧化物相图中有效质量的异常宽范围。 事实上，只有当质量重整化的机制独立于普朗克型松弛时，普朗克型普遍松弛率才意味着霍姆斯定律。 显示英文摘要

摘要： According to Zaanen's interpretation of Homes' empirical law~[Zaanen, {\it Nature} {\bf 430}, 512 (2004)], the superconducting transition temperatures in the cuprates are high because their metallic states are as viscous as quantum mechanics permits. Here, we show that Homes' law in fact implies three key points: (i) the resistivity is linear in temperature in the normal state near the transition temperature; (ii) the dimensionless coefficient of proportionality of the relaxation rate with temperature is of order unity -- the so-called universal Planckian relaxation rate; and (iii) the logarithmically broad applicability of this law arises from an unusually wide range of effective masses throughout the cuprate phase diagram. In fact, a universal Planckian relaxation rate implies Homes' law only if the mechanism of mass renormalization is independent of the Planckian relaxation.