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Role of anharmonicity in the high-Tc superconductors

Robert A. Zacher

DOI 10.1103/PhysRevB.36.7115 · Physical Review B

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Abstract

It is suggested that the high-transition temperatures (Tc's) observed in the superconducting oxygen-deficient perovskites may be a consequence of highly anharmonic potentials. Evidence is cited which demonstrates that the harmonic approximation fails badly for Cu2+ ions in a ligand field with octahedral symmetry. Since Bardeen-Cooper-Schrieffer theory and its strong-coupling extensions are based on the harmonic approximation, the reasons for their failure to describe the Cu-based perovskites can now be understood. These conclusions suggest a new interpretation for the recent results in oxygen-isotope substitution experiments. This new interpretation may be consistent with an electron-lattice mechanism for superconductivity. Surprising similarities between the heme group from hemoglobin, hemocyanin, and the oxygen-deficient perovskites are discussed. Based on these ideas, the criteria for reaching high Tc's in Ni-substituted perovskites are discussed. It is also suggested that nonperovskite materials, which have nearly degenerate, multiple-valley potential wells, may be potential high-Tc superconductors.

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