Dynamics of d-wave Vortices: Angle-Dependent Nonlinear Hall Effect

Abstract

We study the dynamics of vortices in d-wave superconductors using a phenomenological time-dependent Ginzburg-Landau equation with mixing of s- and d-wave components. We present numerical simulations under an external driving current J oriented with an angle φ with respect to the b crystal axis, calculating the vortex motion and induced electric fields for =∞. We find an intrinsic Hall effect for φ≠ 0 which depends as (4φ), and increases non-linearly with J.

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