Abstract
Abstract The continuous transition from a normal metal to a mixed superconducting state, the Abrikosov flux lattice, is known to be driven by fluctuations to a first-order transition immediately below six dimensions. We consider here a fictitious U( N ) internal symmetry for the order parameter and analyze the large- N limit. It leads to a classical theory which differs from the Landau-Ginzburg one by a non-local potential due to fluctuations. The analysis of the non-linear equations and of the full phase diagram is difficult, but we can prove that while the Abrikosov solution remains valid above six dimensions for some range of the parameters, in all dimensions lower or equal to six the transition becomes discontinuous. A separate analysis is needed for the cases 4 d ⩽ 6 and 2 ⩽ 4, but the conclusions are the same.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
