Biot-Savart correlations in layered superconductors

K. S. Raman, V. Oganesyan, Shivaji Lal Sondhi

Research output: Contribution to journalArticlepeer-review

9 Scopus citations


We discuss the superconductor-to-normal phase transition in an infinite-layered, type-II superconductor in the limit where the Josephson coupling between layers is negligible. We model each layer as a neutral gas of thermally excited pancake vortices and assume that the dominant interlayer coupling is the electromagnetic interaction between the screening currents induced by these vortices. Our main result, obtained by exactly solving the leading order renormalization group (RG) flow, is that the phase transition in this model is a Kosterlitz-Thouless transition despite being a three-dimensional system. While the transition itself is driven by the unbinding of two-dimensional pancake vortices, an RG analysis of the low temperature phase and a mean-field theory of the high temperature phase reveal that both phases possess three-dimensional correlations. An experimental consequence is that the jump in the measured in-plane superfluid stiffness, a universal quantity in 2d Kosterlitz-Thouless theory, receives a small nonuniversal correction (of order 1% in Bi2 Sr2 CaCu2 O8+x). This overall picture places some claims expressed in the literature on a more secure analytical footing and resolves some conflicting views.

Original languageEnglish (US)
Article number174528
JournalPhysical Review B - Condensed Matter and Materials Physics
Issue number17
StatePublished - May 1 2009

All Science Journal Classification (ASJC) codes

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics


Dive into the research topics of 'Biot-Savart correlations in layered superconductors'. Together they form a unique fingerprint.

Cite this