Superconductivity induced by fluctuations of momentum-based multipoles

Abstract

Recent studies of unconventional superconductivity have focused on charge or spin fluctuation, instead of electron-phonon coupling, as an origin of attractive interaction between electrons. On the other hand, a multipole order, which represents electrons' degrees of freedom in strongly correlated and spin-orbit-coupled systems, has recently been attracting much attention. Stimulated by this background, we investigate multipole-fluctuation-mediated superconductivity, which proposes a new pairing mechanism of unconventional superconductivity. Indeed, previous works have shown spin-triplet superconductivity induced by fluctuations of odd-parity electric multipole orders in isotropic systems. In this study, we establish a general formulation of the multipole-fluctuation-mediated superconductivity for all multipole symmetries, in both isotropic and crystalline systems. As a result, we reveal various anisotropic pairings induced by odd-parity and/or higher-order multipole fluctuations, which are beyond the ordinary charge or spin fluctuations. Topological superconductivity due to the mechanism is also discussed. Based on the obtained results, we discuss unconventional superconductivity in doped SrTiO${}_3$, PrTi${}_2$Al${}_{20}$, Li${}_2$(Pd, Pt)${}_3$B, and magnetic multipole metals.

21 pages, 3 figures; published version

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Cited by in corpus (16)

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• Unified description of electronic orderings and cross correlations by complete multipole representation
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• Theory of superconductivity mediated by Rashba coupling in incipient ferroelectrics
• Thermodynamic approach to electric quadrupole moments
• Generalized Rashba Electron-Phonon Coupling and Superconductivity in Strontium Titanate
• Superconducting dome in the LaAlO${}_3$/SrTiO${}_3$ interfaces as a direct effect of the extended s-wave symmetry of the gap
• Hidden orders in spin-orbit entangled correlated insulators
• Strongly parity-mixed superconductivity in Rashba-Hubbard model
• Interplay between singlet and triplet pairings in multi-band two-dimensional oxide superconductors
• Origin of the non-Fermi-liquid behavior in CeRh2As2
• Anisotropic Rashba coupling to polar modes in KTaO3
• Ferroelectricity-induced multiorbital odd-frequency superconductivity in SrTiO${}_3$
• Field-induced superconductivity mediated by odd-parity multipole fluctuation
• Classification of multiorbital superconducting state based on augmented multipoles
• Spin-dependent anisotropic electron-phonon coupling in KTaO${}_3$