TY - JOUR

T1 - Topologically Protected Landau Level in the Vortex Lattice of a Weyl Superconductor

AU - Pacholski, M.J.

AU - Beenakker, C.W.J.

AU - Adagideli, I.

PY - 2018

Y1 - 2018

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?eid=2-s2.0-85050408096&partnerID=MN8TOARS

U2 - 10.1103/PhysRevLett.121.037701

DO - 10.1103/PhysRevLett.121.037701

M3 - Article

SN - 0031-9007

VL - 121

JO - Physical review letters

JF - Physical review letters

IS - 3

M1 - 037701

ER -