2024/09/14 by Vladislav D. Kurilovich, Kurilovich, Vladislav D., William S. Cole +5 · 1 citation
Chemistry · Materials Science · Physics and Astronomy · #Advanced Physical and Chemical Molecular Interactions #FOS: Physical sciences #Graphene research and applications #Mesoscale and Nanoscale Physics (cond-mat.mes-hall) #Topological Materials and Phenomena
paper · pdf · doi:10.48550/arxiv.2409.09325
openalex publication_date 2024/09/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We develop a theory of the nonlocal conductance GRL(V) for a disordered Majorana wire tuned near the topological transition critical point. Under these conditions, the antisymmetric part of the differential conductance, [GRL(V) - GRL(-V)] /2, is the dominant one for a sufficiently long wire. This reflects the charge-neutral nature of the critical modes in the wire. We factorize the conductance into a term describing propagation of the critical modes along the wire, and terms describing the contacts between the wire and the normal leads. Topological transition affects only the former term. At the critical point, the localization length has a logarithmic singularity at the Fermi level, l(E) ∝ ln(1 / E). This singularity directly manifests in the conductance magnitude, as ln |GRL(V) / GQ| ∼ L / l(eV) for the wire of length L ≫ l(eV). Tuning the wire away from the immediate vicinity of the critical point changes the monotonicity of l(E). This change in monotonicity allows us to define the width of the critical region around the transition point.