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|Author(s):||V Crespi; Marvin Cohen; David R. Penn;|
|Title:||Anharmonic Phonons and the Isotope Effect in Superconductivity|
|Published:||January 01, 1991|
|Abstract:||Anharmonic interionic potentials are examined in an Einstein model to study the unusual isotope-effect exponents for the high-T(c) oxides. The mass dependences of the electron-phonon coupling constant λ and the average phonon frequency square-root <ω2> are computed from weighted sums over the oscillator levels. The isotope-effect exponent is depressed below 1⁄2 by either a double-well potential or a potential with positive quadratic and quartic parts. Numerical solutions of Schrodinger's equation for double-well potentials produce lambda's in the range 1.5-4 for a material with a vanishing isotope-effect parameter-alpha. However, low phonon frequencies limit T(c) to roughly 15 K. A negative quartic perturbation to a harmonic well can increase-alpha above 1⁄2. In the extreme-strong-coupling limit, alpha is 1⁄2, regardless of anharmonicity.|
|Citation:||Physical Review B (Condensed Matter and Materials Physics)|
|Pages:||pp. 12921 - 12924|
|Research Areas:||Condensed Matter Physics|