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Journal of Applied Mathematics and Statistical Applications | Volume: 1
August 23-24, 2018 | London, UK
Applied Physics
3
rd
International Conference on
Peculiarities of the BCS theory of superconductivity
Dragos-Victor Anghel
Institutul National de Fizica si Inginerie Nucleara, Romania
W
e study the effect of the relative value of the chemical
potential with respect to the middle of the attraction
band, on the results of the BCS theory of superconductivity.
In this way, we observe that the phenomenology predicted
by the theory is much richer than previously expected. If
the attraction band (i.e. the interval in which the pairing
interaction is manifested) is not symmetric with respect
to the chemical potential, then the equation for the
energy gap has two solutions, the superconductor-normal
metal phase transition temperature is changed, and the
phase transition may become of the first order. The phase
transition temperature decreases with the asymmetry,
so, if the asymmetry can be modified by dopping of the
superconductor or by applying pressure, then a structure
similar to the so called “superconducting dome” is formed if
we plot the transition temperature vs. dopping or pressure.
e:
dragos@theory.nipne.ro