Topologically Protected Landau Level in the Vortex Lattice of a Weyl Superconductor
M. J. Pacholski, C. W. J. Beenakker, İ. Adagideli
DOI 10.1103/PhysRevLett.121.037701 · Physical Review Letters
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Abstract
The question whether the mixed phase of a gapless superconductor can support a Landau level is a celebrated problem in the context of 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=12g0Φ/Φ0, with Φ as the magnetic flux through the system, Φ0 as the superconducting flux quantum, and g0 as the thermal conductance quantum.
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