Superconductivity in the anyon model

Yutaka Hosotani; Sumantra Chakravarty

doi:10.1103/PhysRevB.42.342

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Superconductivity in the anyon model

Yutaka Hosotani, Sumantra Chakravarty

DOI 10.1103/PhysRevB.42.342 · Physical Review B

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Abstract

We analyze a two-dimensional system of electrons or holes, interacting via, in addition to the electromagnetic fields, the Chern-Simons gauge fields (aν) equipped with the action (μ/2)(ελνρaλ∂νaρ. For ‖μ‖=e2N/2π (N=2,4,6,. . . ), the ground state is unique and a spin singlet, having completely filled Landau levels with respect to the Chern-Simons magnetic fields. For these values of μ, equations are derived that replace the London equations in BCS theory. It is shown that a complete Meissner effect operates at zero temperature. Integer quantum Hall effects in the Chern-Simons fields play a crucial role. The magnetic penetration depth coincides with that in BCS theory as long as N≪1000.