Superconductivity in SrTiO${}_3$: dielectric function method for non-parabolic bands

Abstract

The dielectric function method for superconductivity has been applied to SrTiO${}_3$ accounting for the non-parabolic dispersion of charge carriers in the conduction band and for the dispersion of optical phonons based on density functional theory calculations. The obtained critical temperatures of the superconducting phase transition in SrTiO${}_3$ are in agreement with experiments in the density range $n\sim 5\times 10^{18}$ to $5\times 10^{20}$ cm${}^{-3}$. The dielectric function method predicts also the sign of the anomalous isotope effect in strontium titanate, in line with recent observations.

arXiv comment5 pages, 2 figures, submitted to the Special Issue of the Journal of Superconductivity and Novel Magnetism

References in corpus (13)

• Restoring the density-gradient expansion for exchange in solids and surfaces
• Generalized gradient approximation for solids and their surfaces
• A ferroelectric quantum phase transition inside the superconducting dome of Sr${}_{1-x}$Ca${}_x$TiO${}_{3-\delta }$
• Electron-phonon interaction and charge carrier mass enhancement in SrTiO3
• Quantum critical origin of the superconducting dome in SrTiO${}_3$
• Critical doping for the onset of a two-band superconducting ground state in SrTiO${}_{3-\delta }$
• Superconductivity at very low density: the case of strontium titanate
• Many-body large polaron optical conductivity in SrTi${}_{1-x}$Nb${}_x$O${}_3$
• Converged GW quasiparticle energies for transition metal oxide perovskites
• Superfluid density and carrier concentration across a superconducting dome: the case of SrTi${}_{1-x}$Nb${}_x$O${}_3$
• Interface superconductivity in LaAlO${}_3$-SrTiO${}_3$ heterostructures
• S-wave Superconductivity in Optimally Doped SrTi${}_{1-x}$Nb${}_x$O${}_3$ Unveiled by Electron Irradiation
• Superconductivity in 2D electron gas induced by high energy optical phonon mode and large polarization of the STO substrate

Cited by in corpus (8)

• Superconductivity in dilute SrTiO${}_3$: a review
• Isotope tuning of the superconducting dome of strontium titanate
• Heavy non-degenerate electrons in doped strontium titanate
• Theory of superconductivity in doped quantum paraelectrics
• Quantifying nonadiabaticity in major families of superconductors
• Giant Grüneisen parameter in a strain-tuned superconducting quantum paraelectric: A consequence of the vanishing ferroelectric phonon energy
• Strain-engineered interaction of quantum polar and superconducting phases
• Plasmonic Cooper pairing in single layer graphene