Theory of Superconducting Tc

@article{Allen1983TheoryOS,
  title={Theory of Superconducting Tc},
  author={Philip B. Allen and Bo{\vz}idar Mitrovi{\'c}},
  journal={Journal of Physics C: Solid State Physics},
  year={1983},
  volume={37},
  pages={1-92}
}

BCS theory of superconductivity: it is time to question its validity

The time-tested Bardeen–Cooper–Schrieffer (BCS) theory of superconductivity is generally accepted to be the correct theory of conventional superconductivity by physicists and, by extension, by the

Ubiquity of Superconducting Domes in the Bardeen-Cooper-Schrieffer Theory with Finite-Range Potentials.

TLDR
It is demonstrated that any well-defined nonlocal potential leads to a "superconducting dome," i.e., a nonmonotonic T_{c}(n) exhibiting a maximum value at finite doping and going to zero for large n, which proves that, contrary to conventional wisdom, the presence of a superconducting Dome is not necessarily an indication of competing orders, nor of exotic superconductivity.

Breakdown of the Migdal-Eliashberg theory and a theory of lattice-fermionic superfluidity

We show that the Migdal-Eliashberg theory loses validity at a finite value λ c of the electron-phonon coupling λ regardless of the underlying model Hamiltonian. The value of λ c is approximately

Ab initiotheory of superconductivity in a magnetic field. II. Numerical solution

We numerically investigate the Spin Density Functional theory for superconductors (SpinSCDFT) and the approximated exchange-correlation functional, derived and presented in the preceding paper I. As

Room Temperature Superconductivity: the Roles of Theory and Materials Design

For half a century after the discovery of superconductivity, materials exploration for better superconductors proceeded without knowledge of the underlying mechanism. The 1957 BCS theory cleared that

Electron-phonon Coupling in Quasi-Two-Dimensional Correlated Systems

Over the past 20 years a great deal of progress has been made towards understanding the physics of the high-temperature (high-Tc) cuprate superconductors. Much of the lowenergy physics of these

Revised Tolmachev-Morel-Anderson pseudopotential for layered conventional superconductors with nonlocal Coulomb interaction

We study the effects of static nonlocal Coulomb interactions in layered conventional superconductors and show that they generically suppress superconductivity and reduce the critical temperature.
...

References

SHOWING 1-10 OF 128 REFERENCES

CALCULATION OF THE SUPERCONDUCTING STATE PARAMETERS WITH RETARDED ELECTRON- PHONON INTERACTION

The energy gap and other parameters of the superconducting state are calculated from the Bardeen-CooperSchrieffer theory in Gor'kov-Eliashberg form, using a realistic retarded electron-electron

Theory of superconductivity

A theory of superconductivity is presented, based on the fact that the interaction between electrons resulting from virtual exchange of phonons is attractive when the energy difference between the

Theory of superconducting transition temperature, pair susceptibility, and coherence length

As the superconducting transition temperature Tc is approached from above, Cooper pair fluctuations grow in amplitude, and the pair susceptibility (which measures the tendency of pairs to form in

QUASI-PARTICLES AND GAUGE INVARIANCE IN THE THEORY OF SUPERCONDUCTIVITY

Ideas and techniques known in quantum electrodynamics have been applied to the Bardeen-Cooper-Schrieffer theoryof superconductivity. In an approximation which corresponds to a generalization of the

Surface superconductivity and the MOS system

We solve the superconducting gap equation in the weak-coupling approximation for the electronic quasiparticles in metal-oxide-semiconductor devices, paying particular attention to the effects of the

A new aspect of superconductivity in A-15 compounds

We present a new aspect of superconductivity in A-15 compounds which is able to explain their exceptional role among the highTc superconductors. The basic idea is that a strong energy dependence of

On dirty superconductors.

The purpose of this work is to study the mean free path effect of non-magnetic impurities on superconductors. It is shown by including the impurities in the electron-phonon system that, contrary to

MANY-BODY EFFECTS IN ELECTRON SCATTERING

Abstract When setting up the theory of the transport properties of metals in terms of Landau's theory of quasi-particles, it is necessary to define precisely what is the scattering amplitude of an
...