A Spin Triplet Superconductor UPt${}_3$

Abstract

Motivated by a recent angle-resolved thermal conductivity experiment that shows a twofold gap symmetry in the high-field and low-temperature C phase in the heavy-fermion superconductor UPt${}_3$, we group-theoretically identify the pairing functions as $E_{1u}$ with the $f$-wave character for all the three phases. The pairing functions are consistent with the observation as well as with a variety of existing measurements. By using a microscopic quasi-classical Eilenberger equation with the identified triplet pairing function under applied fields, we performed detailed studies of the vortex structures for three phases, including the vortex lattice symmetry, the local density of states, and the internal field distribution. These quantities are directly measurable experimentally by SANS, STM/STS, and NMR, respectively. It is found that, in the B phase of low $H$ and low $T$, the double-core vortex is stabilized over a singular vortex. In the C phase, thermal conductivity data are analyzed to confirm the gap structure proposed. We also give detailed comparisons of various proposed pair functions, concluding that the present scenario of $E_{1u}$ with the $f$-wave, which is an analogue to the triplet planar state, is better than the $E_{2u}$ or $E_{1g}$ scenario. Finally, we discuss the surface topological aspects of Majorana modes associated with the $E_{1u}^f$ state of planar like features.

13 pages, 10 figures, published version, selected for an Editor's Choice

References in corpus (5)

• The Order Parameter for the Superconducting Phases of UPt${}_3$
• Twofold spontaneous symmetry breaking in a heavy fermion superconductor UPt${}_3$
• Vortices in chiral, spin-triplet superconductors and superfluids
• Majorana surface states of superfluid 3He A- and B-phases in a slab
• Majorana edge modes of superfluid 3He A-phase in a slab

Cited by in corpus (29)

• Topology of crystalline insulators and superconductors
• Symmetry Protected Topological Superfluids and Superconductors --- From the Basics to ${}^3$He ---
• UPt${}_3$ as a Topological Crystalline Superconductor
• Vortex lattices and broken time reversal symmetry in the topological superconductor UPt3
• Topological Weyl Superconductor to Diffusive Thermal Hall Metal Crossover in the B-Phase of UPt${}_3$
• Exotic multi-gap structure in UPt${}_3$ unveiled by the first-priniciples analysis
• Symmetry Protected Topological Superfluid ${}^3$He-B
• Möbius topological superconductivity in UPt${}_3$
• Properties of skyrmions and multi-quanta vortices in chiral $p$-wave superconductors
• Lifshitz transition in the double-core vortex in 3He-B
• Edge Current due to Majorana Fermions in Superfluid ${}^3$He A- and B-Phases
• Theory of surface Andreev bound states and tunneling spectroscopy in three-dimensional chiral superconductors
• Topology and symmetry of surface Majorana arcs in cyclic superconductors
• Multifaceted properties of Andreev bound states: Interplay of symmetry and topology
• Odd-frequency pairing and Ising spin susceptibility in time-reversal invariant superfluids and superconductors
• Surface state tunneling signatures in two-component superconductor UPt${}_3$
• Chemical Principles of Intrinsic Topological Superconductors
• Anomalous Field-Angle Dependence of the Specific Heat of Heavy-Fermion Superconductor UPt3
• Magnetic response of Majorana Kramers pairs with an order-two symmetry
• Thermoelectric detection of Andreev states in unconventional superconductors
• Effects of Rashba-spin-orbit coupling on superconducting boron-doped nanocrystalline diamond films: evidence of interfacial triplet superconductivity
• Robustness of chiral surface current and subdominant $s$-wave Cooper pairs
• Nodal gap detection through polar angle-resolved density of states measurements in uniaxial superconductors
• Spin Susceptibility of the Topological Superconductor UPt3 from Polarized Neutron Diffraction
• Competition of vortex core structures in superfluid ${}^3$He-B
• Anomalous acoustoelectric effect induced by clapping modes in chiral superconductors
• Impurity bands, line-nodes, and anomalous thermal Hall effect in Weyl superconductors
• Coherence Effects of Caroli-de Gennes-Matricon Modes in Nodal Topological Superconductors
• Emergence of Non-Axisymmetric Vortex in Strong-Coupling Chiral p-Wave Superconductor