Metallicity and superconductivity in doped strontium titanate

Abstract

Strontium titanate is a wide-gap semiconductor avoiding a ferroelectric instability thanks to quantum fluctuations. This proximity leads to strong screening of static Coulomb interaction and paves the way for the emergence of a very dilute metal with extremely mobile carriers at liquid-helium temperature. Upon warming, mobility decreases by several orders of magnitude. Yet, metallicity persists above room temperature even when the apparent mean-free-path falls below the electron wavelength. The superconducting instability survives at exceptionally low concentrations and beyond the boundaries of Migdal-Eliashberg approximation. An intimate connection between dilute superconductivity and aborted ferroelectricity is widely suspected. In this review, we will give a brief account of ongoing research on bulk strontium titanate as an insulator, a metal and a superconductor.

14 pages and 6 figures; An invited review article for Annual Reviews of Condensed Matter Physics

References in corpus (42)

• Unveiling a two-dimensional electron gas with universal subbands at the surface of SrTiO3
• Self-consistent phonon calculations of lattice dynamical properties in cubic SrTiO${}_3$ with first-principles anharmonic force constants
• Universality of the Mott-Ioffe-Regel limit in metals
• Quantum criticality in ferroelectrics
• Two-dimensional superconductivity at a Mott-Insulator/Band-Insulator interface: LaTiO3/SrTiO3
• 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${}_3$
• Common Fermi-liquid origin of T-squared resistivity and superconductivity in n-type SrTiO3
• Experimental evidence for bulk superconductivity in pure Bismuth single crystal at ambient pressure
• Predictions for Impurity-Induced Tc Suppression in the High-Temperature Superconductors
• Critical doping for the onset of a two-band superconducting ground state in SrTiO${}_{3-\delta }$
• Scalable T^2 resistivity in a small single-component Fermi surface
• Thermal transport and phonon hydrodynamics in strontium titanate
• Competition and cooperation between antiferrodistortive and ferroelectric instabilities in SrTiO${}_3$
• Superconductivity at very low density: the case of strontium titanate
• Intrinsic Mobility Limiting Mechanisms in Lanthanum-doped Strontium Titanate
• Heat transport as a probe of superconducting gap structure
• Oscillating Nernst-Ettingshausen effect in Bismuth across the quantum limit
• Nernst effect and dimensionality in the quantum limit
• Prospects and Applications Near Ferroelectric Quantum Phase Transitions
• Scaling of the superfluid density in high-temperature superconductors
• Shubnikov-de Haas effect in low electron density SrTiO3: Conduction band edge of SrTiO3 redux
• Optical response of correlated electron systems
• Two-band superconductivity in doped SrTiO${}_3$ films and interfaces
• Magnetothermoelectric properties of Bi2Se3
• Metallicity without quasi-particles in room-temperature strontium titanate
• Superconductivity at low density near a ferroelectric quantum critical point: doped SrTiO
• First-principles study of the mobility of SrTiO${}_3$
• Single-gap superconductivity and dome of superfluid density in Nb-doped SrTiO3
• Spin-orbit-coupled ferroelectric superconductivity
• Superfluid density and carrier concentration across a superconducting dome: the case of SrTi${}_{1-x}$Nb${}_x$O${}_3$
• Enhanced Superconducting Transition Temperature due to Tetragonal Domains in Two-Dimensionally Doped SrTiO${}_3$
• Interplay between antiferrodistortive, ferroelectric and superconducting instabilities in Sr_{1-x}Ca_{x}$TiO_{3-δ}
• Non-monotonic anisotropy in charge conduction induced by antiferrodistortive transition in metallic SrTiO${}_3$
• Multiple nodeless superconducting gaps in optimally-doped SrTi${}_{1-x}$Nb${}_x$O${}_3$
• On mobility of electrons in a shallow Fermi sea over a rough seafloor
• Quantum ferroelectric instabilities in superconducting SrTiO${}_3$
• S-wave Superconductivity in Optimally Doped SrTi${}_{1-x}$Nb${}_x$O${}_3$ Unveiled by Electron Irradiation
• Spatially inhomogeneous electron state deep in the extreme quantum limit of strontium titanate
• Superconductivity in the vicinity of a ferroelectric quantum phase transition
• Impact of disorder on the superconducting transition temperature near a Lifshitz transition

Cited by in corpus (64)

• Sachdev-Ye-Kitaev Models and Beyond: A Window into Non-Fermi Liquids
• Superconductivity in dilute SrTiO${}_3$: a review
• Phonon thermal Hall effect in strontium titanate
• Predicting charge transport in the presence of polarons: The beyond-quasiparticle regime in SrTiO${}_3$
• A possible mechanism for superconductivity in doped SrTiO3
• Order-Disorder Ferroelectric Transition of Strained SrTiO3
• T-square resistivity without Umklapp scattering in dilute metallic Bi${}_2$O${}_2$Se
• Ferroelectric enhancement of superconductivity in compressively strained SrTiO${}_3$ films
• Quasiparticle and Nonquasiparticle Transport in Doped Quantum Paraelectrics
• On the origin and the amplitude of T-square resistivity in Fermi liquids
• Multiorbital Ferroelectric Superconductivity in doped SrTiO3
• Interplay between Ferroelectricity and Metallicity in BaTiO${}_3$
• Isotope tuning of the superconducting dome of strontium titanate
• Heavy non-degenerate electrons in doped strontium titanate
• Charge Transport in a Polar Metal
• Ferroelectric, quantum paraelectric or paraelectric? Calculating the evolution from BaTiO${}_3$ to SrTiO${}_3$ to KTaO${}_3$ using a single-particle quantum-mechanical description of the ions
• Superconductivity from energy fluctuations in dilute quantum critical polar metals
• Nonadiabatic Born effective charges in metals and the Drude weight
• Mesoscopic tunneling in strontium titanate
• Microscopic mechanism for fluctuating pair density wave
• Low Temperature Specific Heat of Doped SrTiO${}_3$: Doping Dependence of the Effective Mass and Kadowaki-Woods Scaling Violation
• Theory of superconductivity mediated by Rashba coupling in incipient ferroelectrics
• Phonon drag thermal Hall effect in metallic 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
• Unconventional short-range structural fluctuations in cuprate high-$T_c$ superconductors
• Oxygen Vacancies in Strontium Titanate: a DFT+DMFT study
• Generalized Rashba Electron-Phonon Coupling and Superconductivity in Strontium Titanate
• Conductivity and thermoelectric coefficients of doped SrTiO${}_3$ at high temperatures
• A theory of criticality for quantum ferroelectric metals
• Non-universal current flow near the metal-insulator transition in an oxide interface
• Quasi-isotropic orbital magnetoresistance in lightly doped SrTiO${}_3$
• Diffuse Scattering from Correlated Electron Systems
• T-square dependence of the electronic thermal resistivity in metallic strontium titanate
• Spin-Phonon Resonances in Nearly Polar Metals with Spin-Orbit Coupling
• Ubiquity of superconducting domes in BCS theory with finite-range potentials
• Anisotropic resistivity and superconducting instability in ferroelectric metals
• Effects of spin-orbit interaction and electron correlations in strontium titanate
• Phonon hydrodynamics in bulk insulators and semi-metals
• Electronic thermal resistivity and quasi-particle collision cross-section in semi-metals
• A local maximum in the superconducting transition temperature of Nb-doped strontium titanate under uniaxial compressive stress
• Majorana-Weyl cones in ferroelectric superconductors
• First-principles study of the electronic, magnetic, and crystal structure of perovskite molybdates
• The Future of the Correlated Electron Problem
• Phonon-Induced Collective Modes in Spin-Orbit Coupled Polar Metals
• Beyond being free: glassy dynamics of SrTiO${}_3$-based two-dimensional electron gas
• Orbitally Selective Resonant Photodoping to Enhance Superconductivity
• Extreme disorder in crystalline perovskite oxide: a new paradigm in quantum materials research
• Dislocation Engineering: A New Key to Enhancing Ceramic Performances
• Soft phonon and the central peak at the cubic-to-tetragonal phase transition in SrTiO${}_3$
• Periodicity of superconducting shape resonances in thin films
• Electronic spin susceptibility in metallic strontium titanate
• Magnetoconductivity due to electron-electron interaction in a non-Galilean-invariant Fermi liquid
• Quantum disorder induced by nuclear tunneling in lattice
• Strain-engineered interaction of quantum polar and superconducting phases
• Non-local origin and correlations in the Johnson noise at nonuniform temperatures
• Oxygen Vacancies at Dislocation Core Modulate Plasticity in Strontium Titanate
• On the dynamic distinguishability of nodal quasi-particles in overdoped cuprates
• Phonon-mediated spin transport in quantum paraelectric metals
• Effects of doping on polar order in SrTiO${}_3$ from first-principles modeling
• Dynamical vortices in electron-phonon superconductors
• Modulation of superconductivity by quantum confinement in doped strontium titanate
• Stability conditions for a large anharmonic bipolaron
• Nanoscale Polar Landscapes in Quantum Paraelectric SrTiO3
• Intrinsic thermal Hall effect of optical phonons enhanced by discrete rotational symmetry