Photon absorption edge in superconductors and gapped one-dimensional systems

Physical Review B - Condensed Matter and Materials Physics

Volumn 80, Issue 20, 2009, Pages

  Mkhitaryan, V V ^a   Mishchenko, E G ^a   Raikh, M E ^a   Glazman, L I ^b  

^a UNIVERSITY OF UTAH   (United States)

^b Yale University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 77954746519     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.80.205416     Document Type: Article

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19. It is easy to see that the singular contribution to L ̌(t) emerges from the domain where t k + 2, t k + 1 are close to t, while t k - 1 is close to zero, see Fig.. In this domain, a large phase, i 3 Δ t, is accumulated along the path, 0 → t → 0 → t. This phase readily transforms into anomalous contribution, α α 2 √ ω - 3 Δ, to A (ω). On the other hand, it is apparent that this contribution, being perturbative in α, must be fictitious. Indeed, it can be demonstrated that this contribution is cancelled by the lowest-order shake-up process.
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