Basal-Plane Magnetic Anisotropies of High-kappa d-Wave Superconductors in a Mixed State: A Quasiclassical Approach

Abstract

We study the basal-plane anisotropies of reversible magnetization and torque in a mixed state of layered d-wave superconductors based on the quasiclassical version of the BCS-Gor'kov theory. Both the longitudinal magnetization ($M_L$) and torque ($\tau$) show fourfold oscillations as a function of the field angle $\chi$. The relationship between the node position and the oscillatory patterns shown by $M_L$ and $\tau$ is clarified. It is also shown that the sign of the $\tau (\chi )$-oscillation does not change between $H_{c1}$ and $H_{c2}$, while the sign of the $M_L(\chi )$-oscillation changes. The newly obtained result for $\tau$ indicates that the torque experiment can allow us to detect the in-plane anisotropies of $H_{c2}$ even in a material with strong fluctuations such as cuprate or organic superconductors, where the $H_{c2}$ itself cannot be determined experimentally.

10 pages, 9 figures

References in corpus (7)

• Magnetic-Field Dependences of Thermodynamic Quantities in the Vortex State of Type-II Superconductors
• Influence of Fermi surface topology on the quasiparticle spectrum in the vortex state
• Mixed-State Thermodynamics of Superconductors with Moderately Large Paramagnetic Effects
• Anisotropic Diamagnetic Response in Type-II Superconductors with Gap and Fermi-Surface Anisotropies
• Study on Unconventional Superconductors via Angle-resolved Specific Heat
• Thermal conductivity in the vortex state of the superconductor UPd_2Al_3
• Anisotropy of in-plane magnetization due to nodal gap structure in the vortex state

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• Quasiclassical analysis of vortex lattice states in Rashba noncentrosymmetric superconductors
• Quasiclassical theory of vortex states in locally non-centrosymmetric superconductors: application to CeRh${}_2$As${}_2$