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 $\varphi$ with respect to the $b$ crystal axis, calculating the vortex motion and induced electric fields for $\kappa =\infty$. We find an intrinsic Hall effect for $\varphi \ne 0$ which depends as $\sim \sin (4\varphi )$, and increases non-linearly with $J$.

11 pages, 3 figures, submitted to Phys. Rev. Lett

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