2003/05/21 by Ioannis Giannakis, Hai-cang Ren · 3 citations
Mathematics · Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Condensed matter physics #Dimensionless quantity #Energy (signal processing) #Energy functional #Geometry #Ginzburg–Landau theory #Magnetic field #Mathematical physics #Mathematics #Physics #Physics of Superconductivity and Magnetism #Quantum mechanics #Quantum, superfluid, helium dynamics #Superconductivity #Surface (topology) #cond-mat #hep-ph #nucl-th
paper · pdf · doi:10.1016/j.nuclphysb.2003.07.022
published as Nucl.Phys. B669 (2003) 462-478 · 18 pages, 2 figures, plain Tex
arxiv created 2003/05/21 · openalex publication_date 2003/09/12 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We apply the Ginzburg-Landau theory to the colour superconducting phase of a lump of dense quark matter. We calculate the surface energy of a domain wall separating the normal phase from the super phase with the bulk equilibrium maintained by a critical external magnetic field. Because of the symmetry of the problem, we are able to simplify the Ginzburg-Landau equations and express them in terms of two components of the di-quark condensate and one component of the gauge potential. The equations also contain two dimensionless parameters: the Ginzburg-Landau parameter κ and ρ. The main result of this paper is a set of inequalities obeyed by the critical value of the Ginzburg-Landau parameter--the value of κ for which the surface energy changes sign--and its derivative with respect to ρ. In addition we prove a number of inequalities of the functional dependence of the surface energy on the parameters of the problem and obtain a numerical solution of the Ginzburg-Landau equations. Finally a criterion for the types of colour superconductivity (type I or type II) is established in the weak coupling approximation.