2000/11/06 by Ilya Vekhter, I. Vekhter, P. J. Hirschfeld +1 · 4 citations
Materials Science · Physics and Astronomy · #Advanced Condensed Matter Physics #Anisotropy #Condensed matter physics #Knight shift #Magnetic and transport properties of perovskites and related materials #Magnetic field #Magnetization #Physics #Physics of Superconductivity and Magnetism #Quantum mechanics #Semiclassical physics #Superconductivity #Zeeman effect #cond-mat.supr-con
paper · pdf · doi:10.1103/physrevb.64.064513
published as Phys. Rev. B 64, 064513 (2001) · 24 pages, 15 eps figures
arxiv created 2000/11/06 · openalex publication_date 2001/07/23 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We investigate the thermodynamic properties of a two-dimensional d-wave superconductor in the vortex state using a semiclassical approach, and argue that such an approach is valid for the analysis of the experimental data on high-temperature superconductors. We develop a formalism where the spatial average of a physical quantity is written as an integral over the probability density of the Doppler shift, and evaluate this probability density for several model cases. The approach is then used to analyze the behavior of the specific heat and the nuclear magnetic resonance (NMR) spin-lattice relaxation rate in a magnetic field. We compare our results with the experimental measurements, and explain the origin of the discrepancy between the results from different groups. We also address the observability of the recently predicted fourfold oscillations of the specific heat for the magnetic field parallel to the copper oxide planes. We consider both the orbital and the Zeeman effects, and conclude that at experimentally relevant temperatures Zeeman splitting does not appreciably reduce the anisotropy, although it does change the field dependence of the anisotropic specific heat. We predict a scaling law for the nonexponentially decaying NMR magnetization, and discuss different approaches to the effective relaxation rate.