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

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

1997-04-22

arxiv.org/abs/cond-mat/9704188v1

Physics

Condensed Matter

Superconductivity

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

Scientific paper

10.1103/PhysRevLett.79.1373

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 $\phi$ 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 $\phi\neq 0$ which depends as $\sim\sin(4\phi)$, and increases non-linearly with $J$.

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