Hall Effect in the Vortex Lattice of d-Wave Superconductors with Anisotropic Fermi surfaces

Abstract

On the basis of the augmented quasiclassical theory of superconductivity with the Lorentz force, we study the mag- netic field dependence of the charge distribution due to the Lorentz force in a d-wave vortex lattice with anisotropic Fermi surfaces. Owing to the competition between the energy-gap and Fermi surface anisotropies, the charge profile in the vortex lattice changes dramatically with increasing magnetic field because of the overlaps of each nearest vortex-core charge. In addition, the accumulated charge in the core region may reverse its sign as a function of magnetic field. This strong field dependence of the vortex-core charge cannot be observed in the model with an isotropic Fermi surface.

arXiv comment5 pages, 8 figures

References in corpus (10)

• Field dependence of the vortex structure in d-wave and s-wave superconductors
• Anomalous Transport Phenomena in Fermi Liquids with Strong Magnetic Fluctuations
• Vortex structure in $d$-wave superconductors
• {\em Ab Initio} Calculations of ${\mathbf{H}}_{c2}$ in Type-II Superconductors: Basic Formalism and Model Calculations
• Gauge Invariance and Hall Terms in the Quasiclassical Equations of Superconductivity
• Hall effect anomaly near Tc and renormalized superconducting fluctuations in YBCO
• Hall Coefficient of Equilibrium Supercurrents Flowing inside Superconductors
• Vortex-Core Charging Due to the Lorentz Force in a $d$-Wave Superconductor
• Hall Effect in the Abrikosov Lattice of Type-II Superconductors
• High magnetic field studies of the Vortex Lattice structure in YBa2Cu3O7

Cited by in corpus (5)

• Charging in a Superconducting Vortex Due to the Three Force Terms in Augmented Eilenberger Equations
• Charging due to Pair-Potential Gradient in Vortex of Type-II Superconductors
• Vortex motion in tilted magnetic fields in highly layered electron-doped superconductor Nd2-xCexCuO4
• Charging in the vortex lattice of type-II superconductors
• Zero-Field Surface Charge Due to the Gap Suppression in $d$-Wave Superconductors