Topological Weyl Superconductor to Diffusive Thermal Hall Metal Crossover in the B-Phase of UPt${}_3$

Abstract

The recent phase sensitive measurements in the superconducting $B$-phase of UPt${}_3$ provide strong evidence for the triplet, chiral $k_z(k_x\pm i{k}_y{)}^2$ pairing symmetries, which endow the Cooper pairs with orbital angular momentum projections $L_z=\pm 2$ along the $c$-axis. In the absence of disorder such pairing can support both line and point nodes, and both types of nodal quasiparticles exhibit nontrivial topology in the momentum space. The point nodes, located at the intersections of the closed Fermi surfaces with the $c$-axis, act as the double monopoles and the antimonopoles of the Berry curvature, and generalize the notion of Weyl quasiparticles. Consequently, the $B$ phase should support an anomalous thermal Hall effect, the polar Kerr effect, in addition to the protected Fermi arcs on the (1,0,0) and the (0,1,0) surfaces. The line node at the Fermi surface equator acts as a vortex loop in the momentum space and gives rise to the zero energy, dispersionless Andreev bound states on the (0,0,1) surface. At the transition from the $B$-phase to the $A$-phase, the time reversal symmetry is restored, and only the line node survives inside the $A$-phase. As both line and double-Weyl point nodes possess linearly vanishing density of states, we show that weak disorder acts as a marginally relevant perturbation. Consequently, an infinitesimal amount of disorder destroys the ballistic quasiparticle pole, while giving rise to a diffusive phase with a finite density of states at the zero energy. The resulting diffusive phase exhibits $T$-linear specific heat, and an anomalous thermal Hall effect. We predict that the low temperature thermodynamic and transport properties display a crossover between a ballistic thermal Hall semimetal and a diffusive thermal Hall metal.

8 pages, 1 figure; replaced by the version accepted by Phys. Rev. B

References in corpus (8)

• Classification of topological insulators and superconductors in three spatial dimensions
• The Order Parameter for the Superconducting Phases of UPt${}_3$
• Observation of broken time-reversal symmetry in the heavy fermion superconductor UPt${}_3$
• Topological Blount's theorem of odd-parity superconductors
• Collective modes and electromagnetic response of a chiral superconductor
• Gauge-invariant electromagnetic response of a chiral px+ipy superconductor
• The Fermi surface and f-valence electron count of UPt3
• Superconducting phase transition of Sr2RuO4 in magnetic field

Cited by in corpus (54)

• Topological superconductors: a review
• Axion Electrodynamics in Topological Materials
• Weyl, Dirac and high-fold chiral fermions in topological quantum materials
• Interacting Weyl fermions: Phases, phase transitions and global phase diagram
• Recent progress on superconductors with time-reversal symmetry breaking
• Dirty Weyl semimetals: Stability, phase transition and quantum criticality
• Weyl-link semimetals
• Topological superconductivity of spin-3/2 carriers in a three-dimensional doped Luttinger semimetal
• Interacting line-node semimetal: Proximity effect and spontaneous symmetry breaking
• Nonsymmorphic Weyl superconductivity in UPt_3 based on E_2u representation
• Weyl fermions with arbitrary monopole in magnetic fields: Landau levels, longitudinal magnetotransport, and density-wave ordering
• Competing orders and topology in the global phase diagram of pyrochlore iridates
• Semiclassical Boltzmann transport theory for multi-Weyl semimetals
• Unconventional superconducting gap structure protected by space group symmetry
• Three-Dimensional Majorana Fermions in Chiral Superconductors
• Magnetotransport in multi-Weyl semimetals: A kinetic theory approach
• Classification of topological crystalline superconducting nodes on high-symmetry lines: Point nodes, line nodes, and Bogoliubov Fermi surfaces
• Möbius topological superconductivity in UPt${}_3$
• Tunneling of multi-Weyl semimetals through a potential barrier under the influence of magnetic fields
• Symmetry-protected line nodes and Majorana flat bands in nodal crystalline superconductors
• Magnus Hall effect in three-dimensional topological semimetals
• Theory of surface Andreev bound states and tunneling spectroscopy in three-dimensional chiral superconductors
• Transmission and conductance across junctions of isotropic and anisotropic three-dimensional semimetals
• Evolution of Pair Correlation Symmetries and Supercurrent Reversal in Tilted Weyl Semimetals
• Disordered double Weyl node: Comparison of transport and density-of-states calculations
• Disordered double Weyl node
• Negative thermal magnetoresistivity as a signature of chiral anomaly in Weyl superconductors
• Multifaceted properties of Andreev bound states: Interplay of symmetry and topology
• Quantum phases of disordered three-dimensional Majorana-Weyl fermions
• Topological D+p-wave superconductivity in Rashba systems
• Quantum phase transition and unusual critical behavior in multi-Weyl semimetals
• Surface state tunneling signatures in two-component superconductor UPt${}_3$
• Torsional chiral magnetic effect due to skyrmion textures in a Weyl superfluid ${}^3$He-A
• Review: Observation of Majorana Bound States at a Free Surface of ${}^3$He-B
• Thermoelectric detection of Andreev states in unconventional superconductors
• Single branch of chiral Majorana modes from doubly degenerate Fermi surfaces
• Topological Anomalous Skin Effect in Weyl Superconductors
• Generic phase diagram for Weyl superconductivity in mirror-symmetric superconductors
• Coupled Wire Models of Interacting Dirac Nodal Superconductors
• Weyl Fermions and Broken Symmetry Phases of Laterally Confined ${}^3$He Films
• Chiral Gravitomagnetic Effect in Topological Superconductors and Superfluids
• Disorder effects on triple-point fermions
• Topological gapless points in superconductors: From the viewpoint of symmetry
• Chiral topological superconducting state with Chern number $\mathcal{C}=-2$ in Pb${}_3$Bi/Ge(111)
• Anomalous Thermal Hall Effect in Chiral Phases of ${}^3$He-Aerogel
• Anomalous acoustoelectric effect induced by clapping modes in chiral superconductors
• Quasiparticles near domain walls in hexagonal superconductors
• Anomalous Hall Effects in Chiral Superconductors
• Impurity bands, line-nodes, and anomalous thermal Hall effect in Weyl superconductors
• Impurity-Induced Anomalous Thermal Hall Effect in Chiral Superconductors
• Coherence Effects of Caroli-de Gennes-Matricon Modes in Nodal Topological Superconductors
• Generic Weyl phase in the vortex state of quasi-two-dimensional chiral superconductors
• Landau levels and optical conductivity in the mixed state of a generic Weyl superconductor
• Vortical effects in chiral band structures