Unified Description of the Mid Gap States in Inhomogeneous Superconductors

Yoji Ohashi, Satoshi Takada

Research output: Contribution to journalArticlepeer-review

19 Citations (Scopus)


Condition for the mid gap state to exist in inhomogeneous superconductor is investigated. On the basis of the Andreev equations, a general expression of the wavefunction of this bound state is derived. Then, the mid gap state is shown to exist only if signs of the pair potential is different, which an quasiparticle feels in the initial and final states in the scattering process described by the Andreev equations. It is also studied why some inhomogeneous systems have no mid gap state. Our results present a unified picture that the absence of the mid gap states results from their hybridization due to the spatial variation of the order parameter and the presence of the normal reflection.

Original languageEnglish
Pages (from-to)246-254
Number of pages9
JournalJournal of the Physical Society of Japan
Issue number1
Publication statusPublished - 1996 Jan 1
Externally publishedYes


  • Andreev equations
  • Bound state
  • Inhomogeneous superconductor
  • Mid gap state

ASJC Scopus subject areas

  • General Physics and Astronomy


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