Volkov-Pankratov states in topological superconductors

Abstract

We study the in-gap states that appear at the boundaries of both 1D and 2D topological superconductors. While the massless Majorana quasiparticles are guaranteed to arise by the bulk-edge correspondence, we find that they could be accompanied by massive Volkov-Pankratov (VP) states which are present only when the interface is sufficiently smooth. These predictions can be tested in an s-wave superconductor with Rashba spin-orbit coupling placed on top of a magnetic domain wall. We calculate the spin-resolved local density of states of the VP states about the band inversion generated by a magnetic domain wall and find that they are oppositely spin-polarized on either side of the topological phase boundary. We also demonstrate that the spatial position, energy-level spacing, and spin polarization of the VP states can be modified by the introduction of in-plane electric fields.

arXiv comment10 pages, 8 figures

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• Majorana bound states in semiconducting nanostructures
• Trivial Andreev band mimicking topological bulk gap reopening in the non-local conductance of long Rashba nanowires
• Pinning of Andreev bound states to zero energy in two-dimensional superconductor-semiconductor Rashba heterostructures
• Quadrupole spin polarization as signature of second-order topological superconductors
• Volkov-Pankratov states in topological graphene nanoribbons
• Dirac quantum well engineering on the surface of topological insulator
• Observation of Weyl and Dirac fermions at smooth topological Volkov-Pankratov heterojunctions
• Landau level spectroscopy of PbSnSe topological crystalline insulator
• Surface plasmonics of Weyl semimetals
• Dispersive Drumhead States in Nodal-Line Semimetal Junctions
• Co-existing topological and Volkov-Pankratov plasmonic edge states in magnetized graphene
• Photoinduced metallic Volkov-Pankratov states in semi-Dirac material
• Spin-resolved nonlocal transport in proximitized Rashba nanowires
• Topological interface states -- a possible path towards a Landau-level laser in the THz regime
• Volkov-Pankratov states on the edge of a quantum spin Hall system
• Volkov-Pankratov states in a driven semimetal for a generic interface