Multiorbital Ferroelectric Superconductivity in doped SrTiO3

Abstract

SrTiO${}_3$ is a unique example of a system which exhibits both quantum paraelectricity and superconductivity. Thus, it is expected that the superconducting state is closely related to the intrinsic ferroelectric instability. Indeed, recent experiments suggest existence of a coexistent phase of superconductivity and ferroelectricity in Ca-substituted SrTiO${}_3$. In this paper, we propose that SrTiO${}_3$ can be a platform of the ferroelectric superconductivity, which is characterized by a ferroelectric transition in the superconducting state. By analyzing a multiorbital model for $t_{2g}$ electrons, we show that the ferroelectric superconductivity is stabilized through two different mechanisms which rely on the presence of the spin-orbit coupling. First, the ferroelectric superconducting state is stabilized in the dilute carrier density regime due to a ferroelectricity-induced Lifshitz transition. Second, it is stabilized under a magnetic field independent of the carrier density. The importance of the multiorbital or multiband nature for the ferroelectric superconductivity is clarified. Then, we predict a topological Weyl superconducting state in the ferroelectric superconducting phase of SrTiO${}_3$.

arXiv comment13 pages, 10 figures

References in corpus (34)

• Chern Numbers in Discretized Brillouin Zone: Efficient Method of Computing (Spin) Hall Conductances
• Non-Abelian Topological Order in S-Wave Superfluids of Ultracold Fermionic Atoms
• Superconductivty without inversion symmetry: MnSi versus CePt_3Si
• A ferroelectric-like structural transition in a metal
• Theory of spin-orbit coupling at LaAlO3/SrTiO3 interfaces and SrTiO3 surfaces
• Quantum criticality in ferroelectrics
• Non-Abelian Topological Orders and Majorana Fermions in Spin-Singlet Superconductors
• A ferroelectric quantum phase transition inside the superconducting dome of Sr${}_{1-x}$Ca${}_x$TiO${}_{3-\delta }$
• Electron Correlation and Pairing States in Superconductors without Inversion Symmetry
• Quantum critical origin of the superconducting dome in SrTiO${}_3$
• Critical doping for the onset of a two-band superconducting ground state in SrTiO${}_{3-\delta }$
• Fermi surface of the most dilute superconductor
• Theory of the SrTiO3 Surface State Two-Dimensional Electron Gas
• Metallicity and superconductivity in doped strontium titanate
• Competition and cooperation between antiferrodistortive and ferroelectric instabilities in SrTiO${}_3$
• Superconductivity at very low density: the case of strontium titanate
• Topological Change of the Fermi Surface in Low Density Rashba Gases: Application to Superconductivity
• Quantum Thermal Hall Effect in a Time-Reversal-Symmetry-Broken Topological Superconductor in Two Dimensions : Approach From Bulk Calculations
• Phonon mechanism in the most dilute superconductor: n-type SrTiO3
• Two-band superconductivity in doped SrTiO${}_3$ films and interfaces
• Fermi liquid theory for heavy fermion superconductors without inversion symmetry : Magnetism and transport coefficients
• Superconductivity at low density near a ferroelectric quantum critical point: doped SrTiO
• Single-gap superconductivity and dome of superfluid density in Nb-doped SrTiO3
• Unconventional multi-band superconductivity in bulk SrTiO${}_3$ and LaAlO${}_3$/SrTiO${}_3$ interfaces
• Spin-orbit-coupled ferroelectric superconductivity
• Magnetic Properties in Non-centrosymmetric Superconductors with and without Antiferromagnetic Order
• Strain and ferroelectric soft mode induced superconductivity in strontium titanate
• Multiple nodeless superconducting gaps in optimally-doped SrTi${}_{1-x}$Nb${}_x$O${}_3$
• Novel pairing mechanism for superconductivity at a vanishing level of doping driven by critical ferroelectric modes
• Quantum ferroelectric instabilities in superconducting SrTiO${}_3$
• Spatially inhomogeneous electron state deep in the extreme quantum limit of strontium titanate
• Upper critical field as a probe for multiband superconductivity in bulk and interfacial STO
• Ab-initio Low-Energy Model of Transition-Metal-Oxide Heterostructure LaAlO3/SrTiO3
• Accurate semiempirical analytical formulas for spontaneous polarization by crystallographic parameters of SrTiO3-BaTiO3 system by ab initio calculations

Cited by in corpus (24)

• Superconductivity in dilute SrTiO${}_3$: a review
• Order-Disorder Ferroelectric Transition of Strained SrTiO3
• Ferroelectric enhancement of superconductivity in compressively strained SrTiO${}_3$ films
• Possible signatures of mixed-parity superconductivity in doped polar SrTiO3 films
• Anisotropic superconductivity mediated by ferroelectric fluctuations in cubic systems with spin-orbit coupling
• Charge Transport in a Polar Metal
• Superconductivity induced by fluctuations of momentum-based multipoles
• Theory of superconductivity mediated by Rashba coupling in incipient ferroelectrics
• Generalized Rashba Electron-Phonon Coupling and Superconductivity in Strontium Titanate
• Coexistence of superconductivity and weak anti-localization at KTaO3 (111) interfaces
• Multiband Quantum Criticality of Polar Metals
• Quantized critical supercurrent in SrTiO${}_3$-based quantum point contacts
• Giant Grüneisen parameter in a strain-tuned superconducting quantum paraelectric: A consequence of the vanishing ferroelectric phonon energy
• Spin-Phonon Resonances in Nearly Polar Metals with Spin-Orbit Coupling
• Emergent superconductivity in doped ferroelectric hafnia
• Domes of $T_c$ in single-band and multiband superconductors with finite-range attractive interactions
• Majorana-Weyl cones in ferroelectric superconductors
• Non-unitary multiorbital superconductivity from competing interactions in Dirac materials
• Ferroelectricity-induced multiorbital odd-frequency superconductivity in SrTiO${}_3$
• Phonon-Induced Collective Modes in Spin-Orbit Coupled Polar Metals
• Helical Topological Superconducting Pairing at Finite Excitation Energies
• Superconductivity in tin telluride films grown by molecular beam epitaxy
• Modeling polar order in compressively strained SrTiO${}_3$
• A large modulation of electron-phonon coupling and an emergent superconducting dome in doped strong ferroelectrics