Majorana fermions on the Abrikosov flux lattice in a $p_x+i{p}_y$ superconductor and thermal conductivity in superclean regime

Abstract

We show that periodic lattice of Abrikosov vortices in chiral $p$ wave superconductor in general supports fermionic states with zero energy provided the intervortex distance is smaller than the critical one. The zero modes appear at the intersection with the Fermi level of electronic magnetic Bloch bands formed by the overlapping vortex core states. The Bloch bands are robust against lattice disorder induced by fluctuations of vortex positions and can transmit the energy flow across the lattice. The hallmark of zero modes on Bloch bands in electronic heat conductivity is discussed.

Discussion of electronic heat conductivity is extended

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• Electronic structure of topological superconductors in the presence of a vortex lattice
• Perturbed vortex lattices and the stability of nucleated topological phases
• Majorana bands, Berry curvature, and thermal Hall conductivity in the vortex state of a chiral p-wave superconductor
• Topological superconductivity in Quantum Hall-superconductor hybrid systems
• Phase diagram of superconductivity in the integer quantum Hall regime
• Majorana lattices from the quantized Hall limit of a proximitized spin-orbit coupled electron gas
• Topological Mid-gap States of px+ipy Topological Superconductor with Vortex superlattice
• Majorana vortex modes in spin-singlet chiral superconductors with noncollinear spin ordering: Local density of states study
• Non-Abelian Majorana fermions in topological $s$-wave Fermi superfluids
• Generic Weyl phase in the vortex state of quasi-two-dimensional chiral superconductors