Abstract
We have measured the temperature dependence of the effective quasiparticle recombination time in superconducting tin tunnel junctions by current and laser pulse excitation. The experimental times show satisfactory agreement with calculations based on the ray acoustic lifetime model of Eisenmenger et al. taking into account the film thickness dependence of the phonon reabsorption, 2Δ-phonon volume loss processes and phonon transmission from the junction into the substrate and liquid helium. On the basis of the BCS density of thermally excited quasiparticles and simplified rate equations for quasiparticle recombination, and from the analysis of measurements of decaying excess quasiparticle concentrations we obtain a mean valueN 0=(2.73±0.03) 1022 eV−1 cm−3 for the electronic density of states at the Fermi Surface in thin, evaporated tin films. This value differs less than 5% from that obtained from the experimental electronic heat-capacity coefficient of the bulk material.
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References
Eisenmenger, W.: in: Tunneling Phenomena in Solids, E. Burstein and S. Lundquist (eds.), p. 371. New York: Plenum Press 1969
Trumpp, H.J., Lassmann, K., Eisenmenger, W.: Phys. Lett41 A, 431 (1972)
Parker, W.H., Williams, W.D.: Phys. Rev. Lett.29, 924 (1972)
Sai-Halasz, G.A., Chi, C.C., Denenstein, A., Langenberg, D.N.: Phys. Rev. Lett.33, 215 (1974)
Parker, W.H.: Sol. State Comm.15, 1003 (1974)
Hu, P., Dynes, R.C., Narayanamurti, V.: Phys. Rev. B10, 2786 (1974)
Ginsberg, D.M.: Phys. Rev. Lett.8, 204 (1962)
Miller, B.I., Dayem, A.H.: Phys. Rev. Lett.18, 1000 (1967)
Levine, J.L., Hsieh, S.Y.: Phys. Rev. Lett.20, 994 (1968)
Gray, K.E., Long, A.R., Adkins, C.J.: Phil. Mag.20, 273 (1969)
Sonnenberg, K.H.: Diplomarbeit, Universität Göttingen (1970), unpublished
Epperlein, P.W.: Thesis, Universität Stuttgart (1977). Quasiparticle recombination lifetime measurements on a single superconducting tunnel junction by current pulse excitation were made for the first time by [10] and [11]. The requirements for the pulse electronics, however, increase in the sequence of experiments on Al [10, 12], Sn [11, 12] and Pb [12] because of the corresponding, decreasing lifetimes.
Gray, K.E.: J. Phys. F (Metal Phys.)1, 290 (1971)
Long, A.R.: J. Phys. F (Metal Phys.)3, 2040 (1973)
Smith, L.N., Mochel, J.M.: Phys. Rev. Lett.35, 1597 (1975)
Rothwarf, A., Taylor, B.N.: Phys. Rev. Lett.19, 27 (1967)
Eisenmenger, W., Lassmann, K., Trumpp, H.J., Krauss, R.: Appl. Phys.11, 307 (1976); Appl. Phys.12, 163 (1977)
Eisenmenger, W.: in: Physical AcousticsVol. XII, 1976 (Eds. W.P. Mason and R. Thurston)
Schrieffer, J.R., Wilkins, J.W.: Phys. Rev. Lett.10, 17 (1963)
Schuller, I., Gray, K.E.: Phys. Rev. B12, 2629 (1975)
Zappe, H.H., Grebe, K.R.: J. Appl. Phys.44, 865 (1973)
Scott, W.C.: Appl. Phys. Lett.17, 166 (1970)
Kittel, C.: Introduction to Solid State Physics, IIIrd Edition. New York: J. Wiley & Sons 1967
Gopal, E.S.R.: Specific Heats of Low Temperatures, London: Plenum Press 1966. K. Mendelssohn and K.D. Timmerhaus (eds.) The bulk value forN 0 listed in Table 1 was evaluated from the relationN 0=3γ/π 2k 2B with an average electronic specific heat coefficientγ, obtained from [23] and [24].
McMillan, W.L.: Phys. Rev.167, 331 (1968)
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IBM Zürich, Research Laboratory, CH-8803, Rüschlikon, Switzerland
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Epperlein, P.W., Lassmann, K. & Eisenmenger, W. Quasiparticle recombination time in superconducting tin and normal electronic density of states at the fermi surface from tunnel junction experiments. Z Physik B 31, 377–384 (1978). https://doi.org/10.1007/BF01351547
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DOI: https://doi.org/10.1007/BF01351547