Generalized Rashba Electron-Phonon Coupling and Superconductivity in Strontium Titanate

Abstract

SrTiO3 is known for its proximity to a ferroelectric phase and for showing an 'optimal' doping for superconductivity with a characteristic dome-like behaviour resembling systems close to a quantum critical point. Several mechanisms have been proposed to link these phenomena, but the abundance of undetermined parameters prevents a definite assessment. Here, we use ab initio computations supplemented with a microscopic model to study the linear coupling between conduction electrons and the ferroelectric soft transverse modes allowed in the presence of spin-orbit coupling. We find a robust Rashba-like coupling, which can become surprisingly strong for particular forms of the polar eigenvector. We characterize this sensitivity for general eigenvectors and, for the particular form deduced by hyper-Raman scattering experiments, we find a BCS pairing coupling constant of the right order of magnitude to support superconductivity. The ab initio computations enable us to go beyond the linear-in-momentum conventional Rashba-like interaction and naturally explain the dome behaviour including a characteristic asymmetry. The dome is attributed to a momentum dependent quenching of the angular momentum due to a competition between spin-orbit and hopping energies. The optimum density for having maximum Tc results in rather good agreement with experiments without free parameters. These results make the generalized Rashba dynamic coupling to the ferroelectric soft mode a compelling pairing mechanism to understand bulk superconductivity in doped SrTiO3.

18 pages, 8 figures

References in corpus (20)

• Restoring the density-gradient expansion for exchange in solids and surfaces
• Generalized gradient approximation for solids and their surfaces
• Metastable ferroelectricity in optically strained $SrTi{O}_3$
• Theory of spin-orbit coupling at LaAlO3/SrTiO3 interfaces and SrTiO3 surfaces
• Two-dimensional superconductivity at the surfaces of KTaO3 gated with ionic liquid
• Parity-breaking phases of spin-orbit-coupled metals with gyrotropic, ferroelectric and multipolar orders
• Tunable superconductivity at the oxide-insulator/KTaO${}_3$ interface and its origin
• Superfluid stiffness of a KTaO3-based two-dimensional electron gas
• Order-Disorder Ferroelectric Transition of Strained SrTiO3
• Nematic and chiral superconductivity induced by odd-parity fluctuations
• Isotope tuning of the superconducting dome of strontium titanate
• Mesoscopic tunneling in strontium titanate
• Superconductivity enhancement in polar metal regions of Sr${}_{0.95}$Ba${}_{0.05}$TiO${}_3$ and Sr${}_{0.985}$Ca${}_{0.015}$TiO${}_3$ revealed by the systematic Nb doping
• Theory of superconductivity in doped quantum paraelectrics
• Synergetic ferroelectricity and superconductivity in zero-density Dirac semimetals near quantum criticality
• A theory of criticality for quantum ferroelectric metals
• Spin-Phonon Resonances in Nearly Polar Metals with Spin-Orbit Coupling
• Anisotropic resistivity and superconducting instability in ferroelectric metals
• Reply to Comment on "Superconductivity at low density near a ferroelectric quantum critical point: doped SrTiO_3"
• Majorana-Weyl cones in ferroelectric superconductors

Cited by in corpus (10)

• Phonon Inverse Faraday effect from electron-phonon coupling
• Terahertz ionic Kerr effect: Two-phonon contribution to the nonlinear optical response in insulators
• Electron Interactions in Rashba Materials
• Microscopic origin of the nemato-elastic coupling and dynamics of hybridized collective nematic-phonon excitations
• Electronic spin susceptibility in metallic strontium titanate
• Effects of Homogeneous Doping on Electron-Phonon Coupling in SrTiO3
• Spin-dependent anisotropic electron-phonon coupling in KTaO${}_3$
• Effects of doping on polar order in SrTiO${}_3$ from first-principles modeling
• Phonon-mediated spin transport in quantum paraelectric metals
• Percolative Pathway to Stripe Order in KTaO3-Based Superconductivity