Topologically protected Landau level in the vortex lattice of a Weyl superconductor

Abstract

The question whether the mixed phase of a gapless superconductor can support a Landau level is a celebrated problem in the context of \textit{d}-wave superconductivity, with a negative answer: The scattering of the subgap excitations (massless Dirac fermions) by the vortex lattice obscures the Landau level quantization. Here we show that the same question has a positive answer for a Weyl superconductor: The chirality of the Weyl fermions protects the zeroth Landau level by means of a topological index theorem. As a result, the heat conductance parallel to the magnetic field has the universal value $G=\frac{1}{2}{g}_0\Phi /{\Phi }_0$, with $\Phi$ the magnetic flux through the system, ${\Phi }_0$ the superconducting flux quantum, and $g_0$ the thermal conductance quantum.

Accepted for publication in Physical Review Letters, 13 pages, 9 figures

References in corpus (10)

• Zero-energy states in corrugated bilayer graphene
• Pedestrian index theorem a la Aharonov-Casher for bulk threshold modes in corrugated multilayer graphene
• Landau levels from neutral Bogoliubov particles in two-dimensional nodal superconductors under strain and doping gradients
• Pseudo-Landau levels of Bogoliubov quasiparticles in strained nodal superconductors
• Weyl-Majorana solenoid
• Index theoretic characterization of d-wave superconductors in the vortex state
• Dirac-Bogoliubov-deGennes quasiparticles in a vortex lattice
• Quantum oscillations and Dirac-Landau levels in Weyl superconductors
• Phase-locked magnetoconductance oscillations as a probe of Majorana edge states
• Zero modes of the generalized fermion-vortex system in magnetic field

Cited by in corpus (14)

• Chiral Approximation to Twisted Bilayer Graphene: Exact Intra-Valley Inversion Symmetry, Nodal Structure and Implications for Higher Magic Angles
• Crystalline symmetry protected helical Majorana modes in the iron pnictides
• Topological properties of multi-terminal superconducting nanostructures: effect of a continuous spectrum
• Topological Superconducting Vortex From Trivial Electronic Bands
• Weyl superconductor phases in a Weyl-semimetal/superconductor multilayer
• Topological d-wave superconductivity in two dimensions
• Topological Anomalous Skin Effect in Weyl Superconductors
• Weyl point immersed in a continuous spectrum: an example from superconducting nanostructures
• Universal chiral magnetic effect in the vortex lattice of a Weyl superconductor
• Gapless vortex bound states in superconducting topological semimetals
• Deconfinement of Majorana vortex modes produces a superconducting Landau level
• Effect of charge renormalization on electric and thermo-electric transport along the vortex lattice of a Weyl superconductor
• Landau levels and optical conductivity in the mixed state of a generic Weyl superconductor
• Chiral charge transfer along magnetic field lines in a Weyl superconductor