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

Autor: Pacholski, M. J., Beenakker, C. W. J., Adagideli, İ.
Rok vydání: 2017
Předmět:
Zdroj: Phys. Rev. Lett. 121, 037701 (2018)
Druh dokumentu: Working Paper
DOI: 10.1103/PhysRevLett.121.037701
Popis: 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 $G=\tfrac{1}{2}g_0 \Phi/\Phi_0$, with $\Phi$ the magnetic flux through the system, $\Phi_0$ the superconducting flux quantum, and $g_0$ the thermal conductance quantum.
Comment: Accepted for publication in Physical Review Letters, 13 pages, 9 figures
Databáze: arXiv