# The higher superconducting transition temperature T c and the functional derivative of T c with α 2 F(ω) for electron–phonon superconductors

@article{CamargoMartinez2020TheHS, title={The higher superconducting transition temperature T c and the functional derivative of T c with $\alpha$ 2 F($\omega$) for electron–phonon superconductors}, author={J. A. Camargo-Mart'inez and G. I. Gonz'alez-Pedreros and F Mesa}, journal={Journal of Physics: Condensed Matter}, year={2020}, volume={32} }

This work presents an analysis of the functional derivative of the superconducting transition temperature T c with respect to the electron-phonon coupling function α 2 F(ω) [δT c/δα 2 F(ω)] and α 2 F(ω) spectrum of H3S ( Im3̄m ), in the pressure range where the high-T c was measured (155–225 GPa). The calculations are done in the framework of the Migdal–Eliashberg theory. We find for this electron–phonon superconductor, a correlation between the maximums of δT c/δα 2 F(ω) and α 2 F(ω) with its…

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## References

SHOWING 1-10 OF 28 REFERENCES

### The sensitivity of the transition temperature to changes in α2F(ω)

- Physics
- 1973

The transition temperature of a superconductor depends on α2F(ω), the spectral function of the effective interaction due to phonon exchange. We discuss how strongly the transition temperature is…

### High-Tc superconductivity in H3S: pressure effects on the superconducting critical temperature and Cooper pair distribution function

- PhysicsSuperconductor Science and Technology
- 2019

We use first-principles calculations to study the effects of pressure on the vibrational and superconducting properties of H3S in the cubic Im 3 ¯ m phase for the pressure range where the…

### Spectroscopic evidence of a new energy scale for superconductivity in H3S.

- PhysicsNature physics
- 2017

A first optical spectroscopy study of H3S, a superconducting phase in sulfur hydride under high pressure with a critical temperature above 200 K, provides strong evidence of a conventional mechanism and an unusually strong optical phonon suggests a contribution of electronic degrees of freedom.

### Functional derivative ofTc with α2(ω)F(ω) for weak coupling anisotropic superconductors

- Physics
- 1984

Approximate analytic calculations of the functional derivative ofTc with respect to α2(ω)F(ω) for anisotropic superconductors are presented, with the primary purpose of identifying the determining…

### A NEW METHOD FOR CALCULATING THE FUNCTIONAL DERIVATIVE δTc/δα2F(Ω): APPLICATION TO MgB2

- Physics
- 2002

We present a new method for calculating the functional derivative of the superconducting transition temperature Tc with respect to the electron–phonon coupling function α2F(Ω). The method relies on a…

### High temperature superconductivity in sulfur and selenium hydrides at high pressure

- Physics
- 2015

Abstract
Due to its low atomic mass, hydrogen is the most promising element to search for
high-temperature phononic superconductors. However, metallic phases of hydrogen are only
expected at extreme…

### Functional derivatives for the critical magnetic field of Pb

- Physics
- 1978

We have calculated for superconducting Pb in the dirty (isotropic) limit the following functional derivatives: δTc/δα2F(ω), δHc(0)/δα2F(ω), δD(t)/δα2F(ω), ∂Tc/∂μ*, ∂Hc(0)/∂μ*, and ∂D(t)/∂μ*, where…

### Temperature dependence ofHc2 andк1 in strong coupling superconductors

- Physics
- 1974

According to the law of corresponding states, the properly scaled critical fields of a BCS superconductor are universal functions of the reduced temperatureT/Tc. In realistic superconductors…