Lattice instability and high superconducting transition temperature

Ramakrishnan, T. V. (1973) Lattice instability and high superconducting transition temperature Journal of Physics C: Solid State Physics, 6 (21). pp. 3041-3046. ISSN 0022-3719

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The high Tc and lattice instability of some A3B compounds (e.g. V3Si, Nb3Sn) have been considered as resulting from fine structure in the bare density of states (Labbe et al. 1967). An alternative explanation is presented which directly connects their high Tc with the shear mode lattice instability. The electronic structure of the A3B's is such that there is a significant umklapp coupling of electrons near the Fermi surface to low q TA phonons. This leads to enhanced phonon induced e-e attraction as the TA mode goes soft. Estimates show that for reasonable values of the parameters concerned, one can obtain the observed rise, say from Tc(V3Ge)=6K to Tc(V3Si)=17K as the TA mode goes completely soft. With the same parameters, good agreement is obtained with the observed pressure dependence of Tc in V3Ge and the variation of Tc in the system V3GexSi1-x(0<or=x<or=1).

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