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The large nonlinear response of a single crystal ZrB$_{12}$ to an ac field(frequency 40 - 2500 Hz) for $H_0>H_{c2}$ has been observed. Directmeasurements of the ac wave form and the exact numerical solution of theGinzburg-Landau equations, as well as phenomenological relaxation equation,permit the study of the surface superconducting states dynamics. It is shown,that the low frequency response is defined by transitions between themetastable superconducting states under the action of an ac field. Therelaxation rate which determines such transitions dynamics, is found.Comment: 7 pages, 11 figure

physical review. b, condensed matter and materials physics

Low-frequency response in the surface superconducting state of single-crystal<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant="normal">ZrB</mml:mi></mml:mrow><mml:mrow><mml:mn>12</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:mrow></mml:math>

Low-frequency response in the surface superconducting state of single-crystalZrB12