Anomalous isotope effect due to linear-energy-dependent electronic density of states in high-Tc superconductors

1993 ◽  
Vol 85 (4) ◽  
pp. 341-342 ◽  
Author(s):  
Biao Hao ◽  
Chang-de Gong
1983 ◽  
Vol 61 (6) ◽  
pp. 872-887 ◽  
Author(s):  
B. Mitrovic ◽  
J. P. Carbotte

Generalized expressions for the free energy difference between normal and superconducting states are derived for the case of an energy dependent (ED) electronic density of states (EDOS) with normal and paramagnetic impurity scattering included. The derivation starts from the Eliashberg expression for the grand thermodynamic potential and ends in explicit formulas for the case of a symmetric Lorentzian model EDOS. Some numerical results are given for the critical magnetic field deviation function and the ratio 2Δ0/kBTc of the Δ0 to the critical temperature Tc. For a peak at the Fermi energy of half width less than the Debye energy (ωD), the modified Eliashberg theory is needed to describe its effect on the thermodynamic properties, whereas for a half width greater than ωD, the corrections to a flat approximation are small.


1983 ◽  
Vol 61 (6) ◽  
pp. 825-837 ◽  
Author(s):  
H. G. Zarate ◽  
J. P. Carbotte

We derive analytical expressions for the gap edge and thermodynamic functions of anisotropic weak coupling superconductors with a model energy dependent electronic density of states N (ε). We choose N (ε) to be a Lorentzian superimposed on a constant background with the Fermi energy at an arbitrary distance from the maximum. Significant modification to the Bardeen–Cooper–Schrieffer (BCS) expressions are found for sharp peaks and for valleys in the density of states when the peak width is on the scale of the Debye energy. In this last case corrections can be very important.


Author(s):  
R. Matthias Geilhufe ◽  
Stanislav S. Borysov ◽  
Dmytro Kalpakchi ◽  
Alexander V. Balatsky

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