Boundary conditions, dimensionality, topology and size dependence of the superconducting transition temperature

References

• Simonin , J . 1986 . Phys. Rev. B , 33 : 7830
   Web of Science ®Google Scholar
• Indekeu JO van Leeuwen JMJ Phys. Rev. Lett. 75 1618 1995 ibid. Physica C, 251, 290 (1995)
   PubMed Web of Science ®Google Scholar
• Fink , HJ and Joiner , WCH . 1969 . Phys. Rev. Lett. , 23 : 120
   Web of Science ®Google Scholar
• de Gennes PG Superconductivity of Metals and Alloys W.A. Benjamin New York 1966 equation (7–62); reissued by Addison-Wesley, New York (1992) [see also Rev. mod. Phys. 36, 225 (1964)]
   Google Scholar
• Fink , HJ and Haley , SB . 2003 . Int. J. mod. Phys. B , 17 : 2171
   Google Scholar
• Clark , S , Erdös , P and Fink , HJ . 2000 . Supercond. Sci. Technol. , 13 : 1309
   Google Scholar
• Ammann , C , Erdös , P and Haley , SB . 1995 . Phys. Rev. B , 51 : 11739
   Google Scholar
• Landau , IL , Shapovalov , DL and Parshin , IA . 1991 . JETP Lett. , 53 : 263
   Web of Science ®Google Scholar
• Astrakharchik EG Adkins CJ Phys. Rev. B 50 13622 1994 ibid. J. Phys.: Condens. Matter 10, 4509, (1998)
   Google Scholar
• Wolf , SA , Kennedy , JJ and Nisenoff , M . 1976 . J. vac. Sci. Technol. , 3 : 145
   Google Scholar
• Strongin , M , Thompson , RS , Kammerer , OF and Crow , JE . 1970 . Phys. Rev. B , 1 : 1078
   Web of Science ®Google Scholar
• Mayadas , AF , Laibowitz , RB and Cuomo , JJ . 1972 . J. appl. Phys. , 43 : 1287
   Google Scholar
• Werthamer , NR . 1963 . Phys. Rev. , 132 : 2240
   Google Scholar
• Montevecchi E Indekeu JO Europhys. Lett. 51 661 2000 ibid., Phys. Rev. B, 62, 14359 (2000)
   Google Scholar
• Rothberg-Bibby BD Fink HJ McLachlan DS Nabarro FRN J. low Temp. Phys. 53 375 1983 and references therein
   Web of Science ®Google Scholar
• Rothberg-Bibby , BD , McLachlan , DS , Fink , HJ and Nabarro , FRN . 1981 . Physica , 107B : 717
   Google Scholar
• Montevecchi E PhD dissertation Katholieke Universiteit Leuven 2000
   Google Scholar
• Strictly speaking, the true coherence lengths, defined through moments of the correlation function, may differ slightly from the ξ and ζ we use. With our definitions ξ0 ≡ ξ (0) = ζ (∞), while the actual coherence length amplitudes in mean-field theory (Gaussian approximation for correlations) differ by a factor of 21/2 below and above T c, as is shown in H.B. Tarko, M.E. Fisher Phys. Rev. B 11 1217 1975
   Web of Science ®Google Scholar
• For a review on twinning-plane superconductivity, see Khlyustikov IN Buzdin AI Adv. Phys. 36 271 1987
   Web of Science ®Google Scholar
• Clarysse F PhD dissertation Katholieke Universiteit Leuven 2000 J.O. Indekeu, F. Clarysse, E. Montevecchi. In High-Tc Superconductors and Related Materials, S.-L. Drechsler, T. Mishonov (Eds) pp. 487–504 Kluwer Academic, Dordrecht (2001); V.I. Marchenko, E.R. Podolyak. JETP 100, 311, (2005)
   Google Scholar
• Kozhevnikov VK Van Bael M Vinckx W Temst K Van Haesendonck C Indekeu JO Surface enhancement of superconductivity in tin (cond-mat/0504277)
   Google Scholar
• Buckel , W and Hilsch , R . 1954 . Z. Phys. , 138 : 109
   Google Scholar
• Naugle , DG , Baker , JW and Allen , RE . 1973 . Phys. Rev. B , 7 : 3028
   Google Scholar
• Note that figures 6 and 7 are qualitatively similar to figures 2 and 4 in [5]. In that reference, however, a more general boundary condition is used, so that, as a function of temperature, surface enhancement (solutions E and C) can change into surface suppression (solution A) of the order parameter. Our results correspond to the special case b 2 = b and b 4 = ∞ in [5]
   Google Scholar
• Zhao , L , Qiu , XG and Zhao , BR . 2003 . Mod. Phys. Lett. , 17 : 1445
   Google Scholar
• Gauzzi , A , Johan Jönsson-Akerman , B , Clerc-Dubois , A and Pavuna , D . 2000 . Europhys. Lett. , 51 : 667
   Google Scholar
• We take this opportunity to correct the following misprints in the second paper of [12]: the symbol d is to be replaced by n in equations (4.25) and (4.27), and the factor 2 in equation (4.28) should be a 4, in that paper. Similar corrections are needed in [14]
   Google Scholar
• Slachmuylders AF Partoens B Peeters FM Phys. Rev. B 71 (in press)
   Google Scholar
• Baelus , BJ , Yampolskii , SV , Peeters , FM , Montevecchi , E and Indekeu , JO . 2002 . Phys. Rev. B , 65 : 024510
   Google Scholar
• Yampolskii , SV and Peeters , FM . 2000 . Phys. Rev. B , 62 : 9663
   Web of Science ®Google Scholar
• Davis , JH , Skove , MJ and Stillwell , EP . 1966 . Solid St. Commun. , 4 : 597
   Google Scholar
• Hurault , JP . 1968 . J. phys. Chem. Solids , 29 : 1765
   Web of Science ®Google Scholar
• Fisher , RM , Darken , LS and Carroll , KG . 1954 . Acta metall. , 2 : 368
   Google Scholar
• Fang , MM , Kogan , VG , Finnemore , DK , Clem , JR , Chumbley , LS and Farrell , DE . 1988 . Phys. Rev. B , 37 : 2334
   Web of Science ®Google Scholar
• Schwartzkopf , LA , Fang , MM , Chumbley , LS and Finnemore , DK . 1988 . Physica C , 153–155 : 1463
   Google Scholar
• Ivanov , NB and Mishonov , TM . 1987 . Phys. Stat. Sol. (b) , 142 : K49
   Google Scholar
• Clarysse , F and Indekeu , JO . 2002 . Phys. Rev. B , 65 : 094515
   Google Scholar
• Sigrist , M and Monien , H . 2001 . J. phys. Soc. Jpn. , 70 : 2409
   Google Scholar
• Moro R Xu X Yin S de Heer WA Science 300 1265 2003
   Google Scholar
• Andersen , KE , Kumar , V , Kawazoe , Y and Pickett , WE . 2004 . Phys. Rev. Lett. , 93 : 246105
   PubMed Web of Science ®Google Scholar
• The values of ξ0 found from this analysis are 2.38 Å (spheres) and 2.03 Å(cubes), which, instead of being length scales typical for classical bulk superconductors, belong to molecular physics
   Google Scholar
• Fink , HJ . 1974 . J. low Temp. Phys. , 16 : 387
   Google Scholar