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Isotope-shift exponent, pressure coefficient of Tc, and the superconducting-gap ratio within the van Hove scenario

Sujit Sarkar, A. N. Das

DOI 10.1103/PhysRevB.49.13070 · Physical Review B

T1

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Abstract

Exact expression for the isotope-shift exponent and the pressure coefficient of the transition temperature are derived from the BCS gap equation for a density of states (DOS) with a van Hove singularity (VHS). The variations of these quantities with the shift of the Fermi level from the VHS and with Tc are discussed. The superconducting gap-to-Tc ratio (2Δ0/Tc) is also studied. The value of 2Δ0/Tc lies in the range from 3.53 to 4 for the DOS with a VHS at the Fermi level. A comparison of theoretical predictions with experimental results of high-Tc oxide systems are made. A qualitative good agreement is obtained for the pressure coefficient of Tc.

Source-reported materials — not catalogue approval

FormulaReported Tc (K)Pressure (GPa)Type
La2CuO4

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—Pressure not reportedunknown

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