Phase fluctuations in superconductors: From Galilean invariant to quantum (formula presented) models

Physical Review B - Condensed Matter and Materials Physics

Volumn 64, Issue 14, 2001, Pages

  Benfatto, L ^a   Toschi, A ^a   Caprara, S ^a   Castellani, C ^a  

^a UNIVERSITÀ DI ROMA LA SAPIENZA   (Italy)

Author keywords

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Indexed keywords

EID: 85038886360     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.64.140506     Document Type: Article

References (20)

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12. For the analogy with the functional treatment of superfluid systems, see V. N. Popov, Functional Integrals in Quantum Field Theory and Statistical Physics (Reidel, Dordrecht, 1983).
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14. S. G. Sharapov, H. Beck, and V. M. Loktev, cond-mat/0012511, Phys. Rev. B (to be published).
15. At low T, (Formula presented) couples to (Formula presented) via its coupling to (Formula presented). This coupling, which is irrelevant in the BCS limit, can be considered by including the fluctuations of (Formula presented) in the density bubbles.
16. Spatial variations of (Formula presented) at distances smaller than (Formula presented) must not be included. (Formula presented) is well defined both in s- and d-wave superconductors through the spatial decay of the correlation function for (Formula presented).
17. Ian J. R. Aitchison, Ping Ao, D. J. Thouless, and X. M. Zhu, Phys. Rev. B 51, 6531 (1995).
18. The details of calculations will appear in L. Benfatto et al. (unpublished).
19. At strong coupling in the s-wave case, (Formula presented) and D give the same contribution, while (Formula presented) is subleading. In the d-wave case, (Formula presented) is not subleading, even if numerically less important than (Formula presented)
20. The discussion of this issue (and of the relation between (Formula presented) and a at small density) is beyond the scope of the present paper, and will be reported elsewhere.