Planar Superconductivity via Kosterlitz-Thouless mechanism
Abstract
The phase structure of a
(2+1)
- dimensional model of relativistic fermions with a four fermi interaction is analyzed in the strong coupling regime using the large
N
perturbation theory. It is shown that, this model exhibits a low temperature superconducting phase due to the vortex-anti vortex binding via Kosterlitz-Thouless mechanism. Above a critical temperature, vortices unbind and superconductivity is destroyed; at a still higher temperature the vacuum expectation value of a neutral order parameter vanishes. The ground state respects parity and time reversal symmetries.