Quantum-geometry-induced anapole superconductivity

Abstract

Anapole superconductivity recently proposed for multiband superconductors Commun. Phys. $5$, 39\ (2022) (at https://www.nature.com/articles/s42005-022-00804-7) is a key feature of time-reversal ($\mathcal{T}$)-symmetry-broken polar superconductors. The anapole moment was shown to arise from the asymmetric Bogoliubov spectrum, which induces a finite center of mass momenta of Cooper pairs at the zero magnetic field. In this paper, we show an alternative mechanism of anapole superconductivity: the quantum geometry induces the anapole moment when the interband pairing and Berry connection are finite. Thus, the anapole superconductivity is a ubiquitous feature of $\mathcal{T}$-broken multiband polar superconductors. Applying the theory to a minimal model of UTe${}_2$, we demonstrate the quantum-geometry-induced anapole superconductivity. Furthermore, we show the Bogoliubov Fermi surfaces (BFS) in an anapole superconducting state and predict an unusual temperature dependence of BFS due to the quantum geometry. Experimental verification of these phenomena may clarify the superconducting state in UTe${}_2$ and reveal the ubiquitous importance of quantum geometry in exotic superconductors.

14 pages, 6 figures

References in corpus (43)

• Fulde-Ferrell-Larkin-Ovchinnikov State in Heavy Fermion Superconductors
• Intrinsic Superconducting Diode Effect
• Superfluidity and Quantum Geometry in Twisted Multilayer Systems
• Band geometry, Berry curvature and superfluid weight
• Low-frequency divergence and quantum geometry of the bulk photovoltaic effect in topological semimetals
• Bogoliubov Fermi surfaces in superconductors with broken time-reversal symmetry
• Unconventional Superconductivity in UTe2
• Field-induced transition from even to odd parity superconductivity in CeRh${}_2$As${}_2$
• Chiral photocurrent in parity-violating magnet and enhanced response in topological antiferromagnet
• Evidence for a pressure-induced antiferromagnetic quantum critical point in intermediate valence UTe2
• Multiple Superconducting Phases and Unusual Enhancement of the Upper Critical Field in UTe2
• Axion topological field theory of topological superconductors
• Incommensurate Spin Fluctuations in the Spin-triplet Superconductor Candidate UTe${}_2$
• Periodic Anderson model for magnetism and superconductivity in UTe2
• Superconductivity and Local Inversion-Symmetry Breaking
• Experimental measurement of the divergent quantum metric of an exceptional point
• Higher-order topological superconductors in $\mathcal{P}$-, $\mathcal{T}$-odd quadrupolar Dirac materials
• Resonance from antiferromagnetic spin fluctuations for superconductivity in UTe${}_2$
• Field-induced tuning of the pairing state in a superconductor
• Quantum geometry and flat band Bose-Einstein condensation
• Spatially inhomogeneous superconductivity in UTe2
• Anisotropy of the Upper Critical Field in the Heavy-Fermion Superconductor UTe2 under Pressure
• Tuning magnetic confinement of spin-triplet superconductivity
• Quantum metric and wavepackets at exceptional points in non-Hermitian systems
• Anapole superconductivity from $\mathcal{P}\mathcal{T}$-symmetric mixed-parity interband pairing
• Field Induced Multiple Superconducting Phases in UTe2 along Hard Magnetic Axis
• Symmetry of magnetic correlations in spin-triplet superconductor UTe2
• Nonreciprocal optical response in parity-breaking superconductors
• Feedback of superconductivity on the magnetic excitation spectrum of UTe${}_2$
• Superconductivity in monolayer FeSe enhanced by quantum geometry
• Possible Coexistence of Antiferromagnetic and Ferromagnetic Spin Fluctuations in the Spin-triplet Superconductor UTe2 Revealed by 125Te NMR under Pressure
• Bond Directional Anapole Order in a Spin-Orbit Coupled Mott Insulator Sr${}_2$(Ir${}_{1-x}$Rh${}_x$)O${}_4$
• Thermodynamic approach to electric quadrupole moments
• Magnetic reshuffling and feedback on superconductivity in UTe2 under pressure
• Mixed-parity superconductivity in centrosymmetric crystals
• Nonreciprocal Meissner response in parity-mixed superconductors
• Origin of the anomalous Hall effect in two-band chiral superconductors
• Piezoelectric effect and diode effect in anapole and monopole superconductors
• Superconducting piezoelectric effect
• Thermodynamic electric quadrupole moments of nematic phases from first-principles calculation
• Degeneracy between even- and odd-parity superconductivity in the quasi-1D Hubbard model and implications for Sr2RuO4
• Stability of the Fulde-Ferrell-Larkin-Ovchinnikov states in anisotropic systems and critical behavior at thermal $m$-axial Lifshitz points
• Interplay between the extended s-wave symmetry of the gap and the spin-orbit coupling in the low-electron concentration regime of quasi-two-dimensional superconductors

Cited by in corpus (25)

• Spin-triplet superconductivity from quantum-geometry-induced ferromagnetic fluctuation
• Quantum Geometric Kohn-Luttinger Superconductivity
• Piezoelectric effect and diode effect in anapole and monopole superconductors
• Quantum geometry encoded to pair potentials
• Altermagnetic Instabilities from Quantum Geometry
• Phase-modulated superconductivity via altermagnetism
• Classification of Lifshitz invariant in multiband superconductors: an application to Leggett modes in the linear response regime in Kagome lattice models
• Magnetic parity violation and parity-time-reversal-symmetric magnets
• Quantum geometric superfluid weight in multiband superconductors: A microscopic interpretation
• Proximity effect of time-reversal symmetry broken non-centrosymmetric superconductors
• Impurity effect on Bogoliubov Fermi surfaces: Analysis based on iron-based superconductors
• Density matrix renormalization group study of quantum-geometry-facilitated pair density wave order
• Optically active Higgs and Leggett modes in multiband pair-density-wave superconductors with Lifshitz invariant
• Higher-order topological phases for time-reversal-symmetry breaking superconductivity in UTe${}_2$
• Vertex correction for the linear and nonlinear optical responses in superconductors: multiband effect and topological superconductivity
• Normal state quantum geometry, non-locality and superconductivity
• Magnetic fluctuations and anisotropy in UTe2: a multi-orbital study based on GGA+U and RPA
• Quantum geometry in correlated electron phases: from flat band to dispersive band
• Diamagnetic Meissner response of odd-frequency superconducting pairing from quantum geometry
• Odd-frequency pairing of Bogoliubov quasiparticles in superconductor junction
• Quantum Geometric Helical Superconductivity
• Electronic structure of UTe${}_2$ under pressure
• Quantum geometric tensor in systems with fractional band dispersion
• Evolution and Instability of Bogoliubov Fermi Surfaces under Zeeman Field
• Probing the Quantum Geometry of Correlated Metals using Optical Conductivity