Spin-orbit-coupled ferroelectric superconductivity

Abstract

Motivated by recent studies on ferroelectric-like order coexisting with metallicity, we investigate ferroelectric (FE) superconductivity in which a FE-like structural phase transition occurs in the superconducting state. We consider a two-dimensional s-wave superconductor with Rashba-type antisymmetric spin-orbit coupling (ASOC). Assuming linear relationship between polar lattice displacement and strength of the ASOC, we treat the Rashba-type ASOC as a molecular field of FE-like order. It is shown that the FE-like order is induced by the magnetic field when the system is superconducting. Furthermore, we clarify the FE superconductivity in a low carrier density regime, which was recently discovered in doped SrTiO${}_3$. It is demonstrated that the FE superconducting state can be stable in this regime in the absence of the magnetic field. Our results open a way to control the electric polarization by superconductivity, that is, superconducting multiferroics.

arXiv comment13 pages, 10 figures

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• Metallicity and superconductivity in doped strontium titanate
• 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
• Multiorbital Ferroelectric Superconductivity in doped SrTiO3
• Ferroelectric metals in 1T/1T'-phase transition metal dichalcogenide MTe2 bilayers (M = Pt, Pd, and Ni)
• Electrical Detection of Ferroelectric-like Metals through Nonlinear Hall Effect
• Superconductivity from energy fluctuations in dilute quantum critical polar metals
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• Superconductivity induced by fluctuations of momentum-based multipoles
• Theory of superconductivity mediated by Rashba coupling in incipient ferroelectrics
• Coexistence of superconductivity and weak anti-localization at KTaO3 (111) interfaces
• Multiband Quantum Criticality of Polar Metals
• Synergetic ferroelectricity and superconductivity in zero-density Dirac semimetals near quantum criticality
• 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
• Multiple odd-parity superconducting phases in bilayer transition metal dichalcogenides
• Spin-Phonon Resonances in Nearly Polar Metals with Spin-Orbit Coupling
• Domes of $T_c$ in single-band and multiband superconductors with finite-range attractive interactions
• Majorana-Weyl cones in ferroelectric superconductors
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• Phonon-Induced Collective Modes in Spin-Orbit Coupled Polar Metals
• Classification of multiorbital superconducting state based on augmented multipoles
• Superconductivity in tin telluride films grown by molecular beam epitaxy
• Modeling polar order in compressively strained SrTiO${}_3$
• Spin-dependent anisotropic electron-phonon coupling in KTaO${}_3$