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Following earlier work on electron or hole liquids flowing through assemblieswith magnetic fluctuations, we have recently exposed a marked correlation ofthe superconducting temperature Tc, for non s-wave pairing materials, withcoherence length xi and effective mass m*. The very recent study of Abanov etal. [Europhys. Lett. 54, 488 (2001)] and the prior investigation of Monthouxand Lonzarich [Phys. Rev. B 59, 14598 (1999)] have each focussed on the conceptof a spin-fluctuation temperature T_sf, which again is intimately related toTc. For the d-wave pairing via antiferromagnetic spin fluctuations in thecuprates, these studies are brought into close contact with our own work, andthe result is that k_B T_sf ~ hbar^2 / m* xi^2. This demonstrates that xi isalso determined by such antiferromagnetic spin-fluctuation mediated pairinteraction. The coherence length in units of the lattice spacing is thenessentially given in the cuprates as the square root of the ratio of twocharacteristic energies, namely: the kinetic energy of localization of a chargecarrier of mass m* in a specified magnetic correlation length to the hoppingenergy. The quasi-2D ruthenate Sr_2RuO_4, with Tc ~ 1.3 K, has p-wavespin-triplet pairing and so is also briefly discussed here.Comment: Accepted for publication in Phys. Rev.

physical review. b, condensed matter

Superconducting transition temperatures and coherence length in non-<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>s</mml:mi></mml:math>-wave pairing materials correlated with spin-fluctuation mediated interaction

Superconducting transition temperatures and coherence length in non-s-wave pairing materials correlated with spin-fluctuation mediated interaction