Publications by authors named "Julian-Benedikt Mayer"

Article Synopsis
  • The paper discusses how the band inversion in 3D topological materials connects to the parity anomaly seen in 2D massless Dirac fermions.
  • It presents findings from experiments on the topological insulator (Hg,Mn)Te, highlighting a specific behavior in the quantized Hall resistance that ties back to spectral asymmetry.
  • The observed phenomenon may occur in other topological insulators where a single Dirac surface state governs transport.
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Article Synopsis
  • The study explores how quantum spin Hall edge channels behave under strong magnetic fields, revealing that the expected transport gap does not appear in disordered topological insulators.
  • Instead, researchers find that a topological edge channel exists alongside a counterpropagating quantum Hall edge channel even in strong fields.
  • By adjusting disorder from fabrication methods, the research suggests that the observed quantum Hall edge channels are linked to a network of charge puddles at the device's edges.
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We theoretically demonstrate that the chiral structure of the nodes of nodal semimetals is responsible for the existence and universal local properties of the edge states in the vicinity of the nodes. We perform a general analysis of the edge states for an isolated node of a 2D semimetal, protected by chiral symmetry and characterized by the topological winding number N. We derive the asymptotic chiral-symmetric boundary conditions and find that there are N+1 universal classes of them.

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