Fluctuation-induced attraction of vortices in anisotropic superconductors

We study the fluctuation-induced attraction of vortices for continuous anis otropic superconductors by using quantum statistical physics. In the low te mperature or quantum limit, only the low-lying modes are relevant, the indu ced short-range attractive potential is proportional to (k(B)T)K-3(l)(Gamma R/lambda), while in high temperature or classical limit, the induced attrac tive potential reduced to long-range van der Waals type k(B)T/R-4 for two V ortices separated by a distance R. (C) 2001 Elsevier Science B.V. All right s reserved.