Odd-frequency pairing and Kerr effect in the heavy-fermion superconductor UPt${}_3$

Abstract

We study the emergence of odd-frequency superconducting pairing in UPt${}_3$. Starting from a tight-binding model accounting for the nonsymmorphic crystal symmetry of UPt${}_3$ and assuming an order parameter in the $E_{2u}$ representation, we demonstrate that odd-frequency pairing arises very generally, as soon as inter-sublattice hopping or spin-orbit coupling is present. We also show that in the low temperature superconducting $B$ phase, the presence of a chiral order parameter together with spin-orbit coupling, leads to additional odd-frequency pair amplitudes not present in the $A$ or $C$ phases. Furthermore, we show that a finite Kerr rotation in the $B$ phase is only present if odd-$\omega$ pairing also exists.

8 pages, 2 figures

References in corpus (20)

• To What Extent Iron-Pnictide New Superconductors Have Been Clarified: A Progress Report
• High Resolution Polar Kerr Effect Measurements of Sr2RuO4: Evidence for Broken Time Reversal Symmetry in the Superconducting State
• Very High Field Two-Band Superconductivity in LaFeAsO_0.89F_0.11
• The Order Parameter for the Superconducting Phases of UPt${}_3$
• Multiband magnetism and superconductivity in Fe-based compounds
• Theory of the proximity effect in junctions with unconventional superconductors
• Observation of broken time-reversal symmetry in the heavy fermion superconductor UPt${}_3$
• Odd-frequency pairing in normal metal/superconductor junctions
• Signature of magnetic-dependent gapless odd frequency states at superconductor/ferromagnet interfaces
• Manifestation of the odd-frequency spin-triplet pairing state in diffusive ferromagnet / superconductor junctions
• Pairing symmetry conversion by spin-active interfaces in superconducting junctions
• Frequency and temperature dependence of the anomalous Hall conductivity in a chiral px+ipy superconductor with impurities
• Odd-frequency superconducting states with different types of Meissner response: Problem of coexistence
• On stability of odd-frequency superconducting state
• Exotic multi-gap structure in UPt${}_3$ unveiled by the first-priniciples analysis
• The Fermi surface and f-valence electron count of UPt3
• Möbius topological superconductivity in UPt${}_3$
• The role of interface transparency and spin-dependent scattering in diffusive ferromagnet/superconductor heterostructures
• Unconventional proximity-induced superconductivity in bilayer systems
• Intrinsic ac anomalous Hall effect of nonsymmorphic chiral superconductors with an application to $\mathrm{UP}{\mathrm{t}}_3$

Cited by in corpus (26)

• The Role of Odd-Frequency Pairing in Multiband Superconductors
• Unconventional superconducting gap structure protected by space group symmetry
• Odd-frequency superconducting pairing in junctions with Rashba spin-orbit coupling
• Classification of topological crystalline superconducting nodes on high-symmetry lines: Point nodes, line nodes, and Bogoliubov Fermi surfaces
• Anapole superconductivity from $\mathcal{P}\mathcal{T}$-symmetric mixed-parity interband pairing
• Magnetoelectric effects in Josephson junctions
• Superconductivity in spin-$3/2$ systems: symmetry classification, odd-frequency pairs, and Bogoliubov Fermi surfaces
• Odd-frequency superconductivity and Meissner effect in the doped topological insulator Bi${}_2$Se${}_3$
• Loop currents and anomalous Hall effect from time-reversal symmetry-breaking superconductivity on the honeycomb lattice
• Odd-frequency superconducting pairing in Kitaev-based junctions
• Signature of odd-frequency equal-spin triplet pairing in the Josephson current on the surface of Weyl nodal loop semimetals
• Van der Waals heterostructures with spin-orbit coupling
• Odd triplet superconductivity induced by the moving condensate
• Bulk odd-frequency pairing in the superconducting Su-Schrieffer-Heeger model
• Dia- and paramagnetic Meissner effect from odd-frequency pairing in multi-orbital superconductors
• Origin of the anomalous Hall effect in two-band chiral superconductors
• Large Josephson current in Weyl nodal loop semimetals due to odd-frequency superconductivity
• Interplay of finite-energy and finite-momentum superconducting pairing
• Odd-frequency pair density wave correlations in underdoped cuprates
• Exciting odd frequency equal-spin-triplet correlations at metal-superconductor interfaces
• Odd-frequency superconductivity induced by non-magnetic impurities
• Quasiparticle interference as a direct experimental probe of bulk odd-frequency superconducting pairing
• Direct detection of odd-frequency superconductivity via time- and angle-resolved photoelectron fluctuation spectroscopy
• Odd-frequency pairing in a superconductor coupled to two parallel nanowires
• Ferroelectricity-induced multiorbital odd-frequency superconductivity in SrTiO${}_3$
• Diamagnetic Meissner response of odd-frequency superconducting pairing from quantum geometry