Abstract
The ultrasonic attenuation in the mixed state of V-42 at % Ti was measured at T = 4.14K, using shear and longitudinal waves with frequencies 10–130 MHz, in magnetic fields up to 100 kG. The results are compared to a phenomenological model in which the mixed-state resistivity is used as an effective resistivity in the Alpher-Rubin theory. For our V-42 at % Ti, pinning forces are weak, so that the mixed-state attenuation is particularly sensitive to the dc flux-flow resistivity. For magnetic fields 40–60 kG, the attenuation is in quantitative agreement with a model employing the dc flux-flow resistivity of Kim et al., % MathType!MTEF!2!1!+-% feaafeart1ev1aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn% hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr% 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4baFfea0dXde9vqpa0lb9% cq0dXdb9IqFHe9FjuP0-iq0dXdbba9pe0lb9hs0dXda91qaq-xfr-x% fj-hmeGabaqaciGacaGaaeqabaWaaeaaeaaakeaacqaHbpGCdaWgaa% WcbaacbaGaa8NzaaqabaGccqGH9aqpcqaHbpGCdaWgaaWcbaGaa8NB% aaqabaGccaWFibGaai4laiaa-HeadaqhaaWcbaGaam4yaiaaikdaae% aacaGGQaaaaOGaaiikaiaaicdacaGGPaaaaa!400D!\[\rho _f = \rho _n H/H_{c2}^* (0)\]. For high frequencies, where pinning may be neglected, the magnetic field dependence of the attenuation for H≲Hc2 is in better agreement with the use of the flux-flow resistivity calculated from the time-dependent Ginzburg-Landau equation.
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Research supported by Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP) and Conselho Nacional de Desenvolvimento Cientifico e Tecnológico (CNPq).
Supported by Comissão de Aperfeiçoamento de Pessoal de Nível Superior (CAPES).
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Salem-Sugui, S., Missell, F.P. Ultrasonic attenuation in the mixed state of V-42 at % Ti. J Low Temp Phys 37, 257–268 (1979). https://doi.org/10.1007/BF00119188
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DOI: https://doi.org/10.1007/BF00119188