Revealing Majorana Zero Modes in Vortex Cores via Nonmagnetic Impurities

Research. 2026. Vol. 9. Article 1087.

Vyacheslav D. Neverov, Karabassov T., Andrey V. Krasavin, Roditchev D., Vasily S. Stolyarov, Vagov A.

Majorana zero modes (MZMs) localized in vortex cores of topological superconductors are widely regarded promising building blocks for fault-tolerant quantum computation. However, their unambiguous detection is hindered by the extremely small energy spacing separating them from conventional Caroli-de Gennes-Matricon states. Using a microscopic Bogoliubov-de Gennes approach, we demonstrate that nonmagnetic impurities, rather than suppressing, can substantially enhance the energy gap between MZMs and other vortex core excitations. The robustness of MZMs against local perturbations ensures that while conventional states are shifted by impurity-induced potentials, the MZMs remain intact. This results in a pronounced zero-bias peak in the local density of states. Our results dispute the widespread assumption that large Δ ∕ Ef values—where Δ is the superconducting gap and Ef is the Fermi energy—are required to detect MZMs, and instead indicate that purposefully engineered pinning centers in conventional s-wave superconductors offer a practical and experimentally accessible alternative.

Keywords: superconductivity, сверхпроводимость, измерения, measurements, Majorana bound state, майорановские связанные состояния, impurities, примеси

Publication based on the results of: Advanced materials and technologies (2025)