In the framework of finite temperature linear response theory, we analyze to a greater extent the nature of anyonic superconductivity. Using identities among Laguerre polynomials and Bessel functions, we provide simple and useful expressions for the response function in the form of high temperature expansions. The physical penetration depth as well as the Landau-Ginzburg coherence length are calculated for all temperatures. We find that for statistics restricted by n≪450, anyon superconductors are type II local (London) superconductors at low temperature and type I non-local (Pippard) superconductors at high temperature. The threshold temperature is also obtained.
Non-local observables at finite temperature in AdS/CFT