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We report experimental studies of the low frequency electrodynamics ofZrB$_{12}$ and Nb single crystals. AC susceptibility at frequencies 3 - 1000 Hzhave been measured under a dc magnetic field, $H_0$, applied parallel to thesample surface. In the surface superconducting state, for several $H_0$, thereal part of the ac magnetic susceptibility exhibits a logarithmic frequencydependence as for spin-glass systems. Kramers-Kronig analysis of theexperimental data, shows large losses at ultra low frequencies ($<3$ Hz). Thewave function slope at the surface was found. The linear response of the orderparameter to the ac excitation was extracted from the experimental data.Comment: 9 pages, 12 figure

physical review. b, condensed matter and materials physics

Glasslike low-frequency ac response of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mi>ZrB</mml:mi><mml:mn>12</mml:mn></mml:msub></mml:mrow></mml:math>and Nb single crystals in the surface superconducting state

Glasslike low-frequency ac response ofZrB12and Nb single crystals in the surface superconducting state