We suppose that a Cooper pair (CP) will experience a damping force exerted by the condensed matter. A Langevin equation of a CP in two dimensional condensed matter is established. Following a method similar to Nelson's stochastic mechanics, generalized Schrödinger equation of a CP in condensed matter is derived. If the CPs move with a constant velocity, then the corresponding direct current (DC) electrical conductivity can be calculated. Therefore, a Drude like formula of resistivity of CPs is derived. We suppose that the damping coefficient of CPs in two dimensional cuprate superconductors is a linear function of temperature. Then the resistivity and scattering rate of CPs turn out to be also linear-in-temperature. The origin of linear-in-temperature resistivity and Planckian dissipation in cuprate superconductors may be the linear temperature dependence of the damping coefficient of CPs.
Universality of linear in temperature and linear in field Planckian scattering rate in high temperature cuprate superconductors
National Center for Theoretical Sciences（国家理论科学中心）；National Yang Ming Chiao Tung University（国立阳明交通大学）；Universidad de Los Andes（洛斯安第斯大学）；Universidad del Rosario（玫瑰大学）；National High Magnetic Field Laboratory（国家高磁场实验室）；Florida State University（佛罗里达州立大学）
Density-wave phases, anisotropic transport, and Planckian dissipation in single crystals of the superconductor La3Ni2O7
RIKEN Center for Emergent Matter Science (CEMS)（RIKEN 新兴物质科学中心）；RIKEN Baton Zone Program, TRIP Headquarters（RIKEN Baton Zone 项目，TRIP 总部）；Department of Advanced Materials Science, The University of Tokyo（东京大学先进材料科学系）；Materials and Structural Analysis Division, Thermo Fisher Scientific（赛默飞世尔科技材料与结构分析部）；Materials and Structural Analysis Division, Thermo Fisher Scientific, FEI Company Japan Ltd.（赛默飞世尔科技、FEI 日本有限公司材料与结构分析部）；RIKEN Pioneering Research Institute (PRI)（RIKEN 先锋研究所 (PRI)）；Department of Applied Physics, The University of Tokyo（东京大学应用物理系）；Institute of Engineering Innovation, The University of Tokyo（东京大学工程创新研究所）；Tokyo College, The University of Tokyo（东京大学东京学院）
Decoupling momentum and energy relaxation rates in cuprate strange metals via giant THz nonlinearities
Johns Hopkins University（约翰斯·霍普金斯大学）；University of Illinois Urbana-Champaign（伊利诺伊大学厄巴纳-香槟分校）；Brookhaven National Laboratory（布鲁克海文国家实验室）；Université Paris-Saclay（巴黎萨克雷大学）
Quantum-Critical, Spin-Fluctuation-driven Residual Resistivity and Emergent Universal Correlations in the Fermi-Liquid Regime of Heavy-Fermion Superconductors
Instituto de Física, Universidade Federal do Rio de Janeiro（里约热内卢联邦大学物理研究所）
Spin-fluctuations in Ti$_{60}$V$_{40}$ alloy and its influence on the superconductivity
本文报道了Ti $_{0.6}$ V $_{0.4}$合金的电阻率和直流磁化率随温度和磁场的变化关系以及零场热容随温度的变化关系。该Ti $_{0.6}$ V $_{0.4}$合金的正常状态直流磁化率的温度依赖性显示T $^2$ lnT行为。电阻率的温度依赖性在20-50 K范围内遵循T $^2$行为。另一方面，在包含电子和晶格热容的表达式中需要项$T^3$ lnT，以解释在观察到电阻率的$T^2$依赖性的温度下热容的温度依赖性。直流磁化率、电阻率和热容的温度依赖性表明系统中存在自旋涨落。进一步的实验证据的自旋涨落的形式获得的T $^5$项的电阻率的温度依赖性的负值。详细讨论了自旋涨落对Ti $_{0.6}$ V $_{0.4}$超导性质的影响。通过对正常态和超导态的电阻率和磁化率的分析，我们发现Ti $_{0.6}$ V $_{0.4}$合金中存在的自旋涨落在本质上是巡游的。有一些证据表明，在远高于超导转变温度的温度范围内存在预制的库珀对。我们的研究表明，自旋涨落和超导性之间有趣的相关性实际上可能在超导材料中相当普遍，而不一定只限于某些类别的奇异化合物。
