Universal scaling properties of superconductors in magnetic fields

✍ Scribed by Denjoe O'Connor; C.R. Stephens

• Publisher: Elsevier Science
• Year: 1999
• Tongue: English
• Weight: 84 KB
• Volume: 263
• Category: Article
• ISSN: 0375-9601
• DOI: 10.1016/s0375-9601(99)00749-5

✦ Synopsis

Based on renormalization group arguments we establish that for a superconductor in the presence of a weak magnetic field the dependence on the magnetic induction, B, and the deviation from the zero-field critical temperature, t , of a u Ž y2 n ynv e . thermodynamic quantity, P, takes the scaling form P s t X BrF t ,qt , where u and n are XY exponents, q is 0 the scaled electromagnetic coupling and nv is the associated crossover exponent. For qrt nv e < 1, the experimentally e accessible region in high-T superconductors, there is a reduction to one-variable scaling plus small corrections. In this c Ž . 1r2 n region we find the shift in the specific heat maximum is given by D s x BrF and that the singular part of the free 0 0 Ž .Ž . d r2 Ž . energy at the critical temperature takes the form F s c d BrF where c d is a universal amplitude. A one loop sing 0