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Volumn 64, Issue 6, 2001, Pages

Andreev scattering in the asymmetric ladder with preformed bosonic pairs

Author keywords

[No Author keywords available]

Indexed keywords

COPPER COMPLEX;

EID: 0035421633     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.64.060502     Document Type: Article
Times cited : (10)

References (23)
  • 2
    • 0035130915 scopus 로고    scopus 로고
    • and references therein
    • C. Honerkamp, Phys. Rev. B63, 035109 (2001), and references therein.
    • (2001) Phys. Rev. B , vol.63 , pp. 35109
    • Honerkamp, C.1
  • 10
    • 85038275106 scopus 로고    scopus 로고
    • P.-G. de Gennes, (Benjamin, New York, 1966)
    • P.-G. de Gennes, Superconductivity of Metals and Alloys (Benjamin, New York, 1966).
  • 11
    • 85038331646 scopus 로고    scopus 로고
    • M. Fisher, in, Les Houches LXIX, edited by A. Comtet, (EDP Sciences, Les Ulis & Springer, Paris, 1998)
    • M. Fisher, in Topological Aspects of low-dimensional system, Les Houches LXIX, edited by A. Comtet et al. (EDP Sciences, Les Ulis & Springer, Paris, 1998).
  • 12
    • 85038310814 scopus 로고    scopus 로고
    • (Cambridge University Press, Cambridge 1998)
    • A O. Gogolin, Bosonization and Strongly Correlated Systems (Cambridge University Press, Cambridge 1998).
    • Gogolin, A.O.1
  • 13
    • 85038309555 scopus 로고    scopus 로고
    • We neglect corrections to the Fermi velocity for chain 1
    • We neglect corrections to the Fermi velocity for chain 1.
  • 14
    • 85038304062 scopus 로고    scopus 로고
    • We have (formula presented) and (formula presented) (formula presented) where (formula presented) is the (formula presented) part of the grand partition function
    • We have (formula presented) and (formula presented) (formula presented) where (formula presented) is the (formula presented) part of the grand partition function.
  • 16
    • 85038307533 scopus 로고    scopus 로고
    • Taking into account second order corrections to (formula presented) and (formula presented) would not change the further conclusions
    • Taking into account second order corrections to (formula presented) and (formula presented) would not change the further conclusions.
  • 17
    • 85038329964 scopus 로고    scopus 로고
    • For repulsive interactions in chain 2, the rotation invariance implies that for (formula presented) (formula presented) (formula presented)
    • For repulsive interactions in chain 2, the rotation invariance implies that for (formula presented) (formula presented) (formula presented)
  • 18
    • 85038277173 scopus 로고    scopus 로고
    • The term (formula presented) produces a coupling (formula presented) This would lead to a spin-gapped CDW ground state (formula presented)
    • The term (formula presented) produces a coupling (formula presented) This would lead to a spin-gapped CDW ground state (formula presented)
  • 19
    • 85038283530 scopus 로고    scopus 로고
    • For (formula presented) in Eqs. (16) and (18) one must formally replace (formula presented) and equate (formula presented) (formula presented)
    • For (formula presented) in Eqs. (16) and (18) one must formally replace (formula presented) and equate (formula presented) (formula presented)
  • 20
    • 85038332621 scopus 로고    scopus 로고
    • Similarly, we obtain (formula presented)The two-point correlation functions of the disordered field (formula presented) decay exponentially (its dual field is pinned), therefore, (formula presented) (in contrast with Ref. 7)
    • Similarly, we obtain (formula presented)The two-point correlation functions of the disordered field (formula presented) decay exponentially (its dual field is pinned), therefore, (formula presented) (in contrast with Ref. 7).
  • 21
    • 85038283119 scopus 로고    scopus 로고
    • (unpublished)
    • K. Le Hur (unpublished).
    • Le Hur, K.1
  • 22
    • 85038295101 scopus 로고    scopus 로고
    • But the stability of the “C2S1” phase in the symmetric three-leg Hubbard ladder (or three-band Hubbard model) of Ref., is clear. Starting from the half-filled case, the unpaired fermions of band 2 have been found to be completely decoupled from bands 1 and 3 (which contain the bosonic pairs). Adding (by hand) a scattering term of the form (formula presented)would not affect the fixed point since (formula presented)
    • But the stability of the “C2S1” phase in the symmetric three-leg Hubbard ladder (or three-band Hubbard model) of Ref. 3 is clear. Starting from the half-filled case, the unpaired fermions of band 2 have been found to be completely decoupled from bands 1 and 3 (which contain the bosonic pairs). Adding (by hand) a scattering term of the form (formula presented)would not affect the fixed point since (formula presented)


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