Is the nonlinear Meissner effect unobservable?

Details Is the nonlinear Meissner effect unobservable? Is the nonlinear Meissner effect unobservable?

1998-08-23

arxiv.org/abs/cond-mat/9808249v3

Phys. Rev. Lett. 81, 5640 (1998)

Physics

Condensed Matter

Superconductivity

4 pages, RevTeX, 1 ps figure; typoes corrected; final version

Scientific paper

10.1103/PhysRevLett.81.5640

We examine the effects of nonlocal electrodynamics for a d-wave superconductor on the field dependence of the magnetic penetration depth. The linear field dependence predicted in the local limit, commonly known as the nonlinear Meissner effect, is instead found to be quadratic, $\delta\lambda\sim H^2$ for fields below a crossover scale $H^*$. This crossover is shown to be geometry dependent and for most orientations of the screening currents is of the same order as or greater than $H_{c1}$, implying that the nonlinear Meissner effect can not be observed. For special orientations where the current flows along the nodal directions, however, the nonlinear Meissner effect may be recovered.

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