Is the nonlinear Meissner effect unobservable?

Abstract

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 $H^{\ast }$. 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.

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

References in corpus (3)

• Low Temperature Behavior of the Vortex Lattice in Unconventional Superconductors
• On the T-dependence of the magnetic penetration depth in unconventional superconductors at low temperatures: can it be linear?
• Comment on ``$T$-dependence of the magnetic penetration depth in unconventional superconductors at low temperatures: Can it be linear?"

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• Absence of non-linear Meissner effect in YBa2Cu3O6.95
• Effect of Impurities on the Superheating field of Type II superconductors
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• Free Energy and Magnetic Penetration Depth of a $d$-Wave Superconductor in the Meissner State
• Imaging the Anisotropic Nonlinear Meissner Effect in Nodal YBa${}_2$Cu${}_3$O${}_{7-\delta }$ Thin-Film Superconductors
• Quasiparticle spectra in the vicinity of a d-wave vortex
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• Vortex in a d-wave superconductor at low temperatures
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• Nonlinear current response of one- and two-band superconductors
• Study on Unconventional Superconductors via Angle-resolved Specific Heat
• Dynamic pair-breaking current, critical superfluid velocity and nonlinear electromagnetic response of nonequilibrium superconductors
• Comment on "Is the nonlinear Meissner effect unobservable?"
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• Singular current response from isolated impurities in d-wave superconductors
• Theory of Nonlinear Meissner Effect in High-Tc Superconductors
• Effect of gap suppression by superfluid current on nonlinear microwave response of d-wave superconductors
• Nonlinear electrodynamics of p-wave superconductors
• Angular dependence of the penetration depth in unconventional superconductors