High-temperature Anyon Superconductivity

The screening of an applied magnetic field in a charged anyon fluid at finite density (μ 6= 0) and temperature (T 6= 0) is investigated. For densities typical of high-temperature superconducting materials we find that the anyon fluid exhibits a superconducting behavior at any temperature. The total Meissner screening is characterized by two penetration lengths corresponding to two short-range eigenmodes of propagation within the anyon fluid. Since the proposition by Laughlin and his collaborators[1],[2] that condensation of bosonic composites of anyonic quasiparticles could give rise to high-TC superconductivity, a significant work has been done in this direction. The anyon superconductivity at T = 0 has been investigated by many authors[2]-[7]. Crucial to the interpretation of anyon superconductivity at T = 0 was the exact cancellation between the bare and induced ChernSimons terms in the effective action of the theory. In a recent paper[8], it was stressed that a self-consistent treatment of many-particle systems (i.e. ne (μ) 6= 0) at zero temperature requires to consider the zero temperature statistical limit (T → 0, μ 6= 0) instead of the QFT (T = 0, μ = 0) formulation. In that case it was proven[8] that, contrary to E-mail: [email protected] E-mail: [email protected]