Microwave absorption in the cores of the Abrikosov vortices pinned by artificial insulator inclusion

B. Ya Shapiro, B. Rosenstein, I. Shapiro, E. Deutch

Research output: Contribution to journalArticlepeer-review


The spectrum of core excitations of the Abrikosov vortex pinned by a dielectric inclusion or nanoholes of the size of the coherence length is considered using the Bogoliubov-deGennes equations beyond the semiclassical approximation. While the lowest excitation, mini-gap, in the unpinned (or pinned by a metallic defect) vortex is of the order of Δ2/ F, it becomes of the order of the superconducting gap Δ. The reconstruction of the quasiparticle excitations' spectrum has a significant impact on optical properties and on the tunneling density of states. We calculate the absorption amplitude and point out that, while in STM the energy gap ΔDOS is between a quasiparticles state with angular momentum μe= μs>1/2 and quasi-hole with μh=- μs the microwave absorption gap, Δdir is between states with μe= μh+1. It is shown that Δdir> ΔDOS. The large mini-gap might play a role in magneto-transport phenomena broadly associated with the "superconductor-insulator" transition in quasi 2D systems in which small insulating inclusions are generally present.

Original languageEnglish
Pages (from-to)57-60
Number of pages4
JournalPhysica C: Superconductivity and its Applications
StatePublished - Sep 2012


  • Bogoliubov-deGennes theory
  • Microwave absorption
  • Pinned vortex


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