TY - JOUR
T1 - The superconducting transition in coupled linear chain systems
AU - Maniv, T.
AU - Weger, M.
PY - 1975/5
Y1 - 1975/5
N2 - The superconducting transition and the critical fluctuations of a model system that can pass continuously from one-dimension to three-dimensions are investigated. The transition is brought about by a variable coupling between families of linear chains. First, a Bose lattice-gas is considered, and the Bose-Einstein transition temperature TBE is calculated as a function of the coupling strength. Second, the temperature Toz at which the fluctuations in the gap parameter equal the average gap parameter is calculated as a function of the coupling, and is found to behave in a similar way to TBE. Both these temperatures go continuously to zero as the system becomes one-dimensional while Tc calculated in mean-field theory does not vanish in this limit. It is found that for coupling parameters believed to be characteristic of some superconductors possessing the A-15 crystal structure, such as Nb3Sn, the system is essentially three-dimensional (3D) as far as superconducting properties are concerned; but critical fluctuations may be somewhat enhanced, in particular when the electronic density of states is not very large.
AB - The superconducting transition and the critical fluctuations of a model system that can pass continuously from one-dimension to three-dimensions are investigated. The transition is brought about by a variable coupling between families of linear chains. First, a Bose lattice-gas is considered, and the Bose-Einstein transition temperature TBE is calculated as a function of the coupling strength. Second, the temperature Toz at which the fluctuations in the gap parameter equal the average gap parameter is calculated as a function of the coupling, and is found to behave in a similar way to TBE. Both these temperatures go continuously to zero as the system becomes one-dimensional while Tc calculated in mean-field theory does not vanish in this limit. It is found that for coupling parameters believed to be characteristic of some superconductors possessing the A-15 crystal structure, such as Nb3Sn, the system is essentially three-dimensional (3D) as far as superconducting properties are concerned; but critical fluctuations may be somewhat enhanced, in particular when the electronic density of states is not very large.
UR - http://www.scopus.com/inward/record.url?scp=49549147361&partnerID=8YFLogxK
U2 - 10.1016/0022-3697(75)90061-X
DO - 10.1016/0022-3697(75)90061-X
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AN - SCOPUS:49549147361
SN - 0022-3697
VL - 36
SP - 367
EP - 376
JO - Journal of Physics and Chemistry of Solids
JF - Journal of Physics and Chemistry of Solids
IS - 5
ER -