Effects of strong magnetic fields on pairing fluctuations in high-temperature superconductors

Physical Review B - Condensed Matter and Materials Physics

Volumn 59, Issue 18, 1999, Pages 12095-12113

  Sauls, J A ^a  

^a NORTHWESTERN UNIVERSITY   (United States)

^b UNIVERSITY OF BAYREUTH   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000116542     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.59.12095     Document Type: Article

References (39)

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28. The anomalous MT term [see Eq. (30), last line], is determined by (Formula presented) which is equal to (Formula presented) for (Formula presented)-wave pairing and (Formula presented) for (Formula presented)-wave pairing in the clean limit. Because (Formula presented) the dominant contribution comes from the region (Formula presented) in the clean limit for (Formula presented)-wave pairing. For this region from Eq. (A2) in Appendix A follows (Formula presented) so that in the clean limit the anomalous MT term for (Formula presented)-wave pairing gives results similar to the (Formula presented)-wave case, i.e., a large positive contribution. The regular MT term, on the other hand, contains the quantity (Formula presented) A principal-value integral leads to a result which is proportional to (Formula presented) for (Formula presented)-wave pairing and is negligible as can be seen in Fig. 66. With impurity scattering, the imaginary part of (Formula presented) leads to suppression of the anomalous MT term.
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35. We use compact diagrams for our diagrammatic representation. The standard way of drawing diagrams is obtained by resolving the internal structure of the (Formula presented)-vertices and assigning explicit spin labels. The set of four diagrams shown in Fig. 1919 is equivalent to the set of ten diagrams given, e.g., in Ref. 10. We demonstrate this connection for the compact form of the Aslamazov-Larkin diagram. It contains for singlet pairing only one pair propagator. The other collective mode is a Cooperon-type impurity ladder in the particle-particle channel. One obtains four different diagrams of this type. In Ref. 10 they are referred to also as special types of Maki-Thompson and DOS diagrams (counting only pairing fluctuation modes for diagram naming schemes). The Aslamazov-Larkin diagram in the noncompact form is exactly zero for spin singlet pairing. The same is true for the corresponding contribution to the NSLR rate, but in this case it is additionally one order smaller in the parameter (Formula presented)
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