1996/05/30 by Igor F. Herbut, Zlatko Tešanović, Zlatko Tesanovic · 2 citations
Physics and Astronomy · #Physics of Superconductivity and Magnetism #Quantum, superfluid, helium dynamics #Theoretical and Computational Physics #cond-mat #hep-th
paper · pdf · doi:10.1103/physrevlett.76.4588
published as Phys.Rev.Lett.76:4588,1996 · 12 pages, LaTex, two figures available upon request
arxiv created 1996/05/30 · openalex publication_date 1996/06/10 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
The superconducting transition is studied within the one-loop renormalization group in fixed dimension D\phantom\rule0ex0ex=\phantom\rule0ex0ex3 and at the critical point. A tricritical behavior is found and, for \ensuremathκ>\ensuremathκc, an attractive charged fixed point, distinct from that of a neutral superfluid. The critical exponents of the continuous transition are evaluated, and it is shown that the anomalous dimension of the gauge field equals unity. This implies the proportionality of the magnetic field penetration depth and the superconducting correlation length below the transition. The penetration depth exponent is nonclassical. We argue that it cannot be extracted from the dual theory in a straightforward manner since it is not renormalized by fluctuations of the dual field.