Triplet superconductive pairing in the lowest Landau level: Comparison of superconductive and charge-density-wave critical temperatures.

Abstract

An analog of triplet superconducting pairing in the lowest Landau level is proposed. The pairing occurs between electrons with the same spin projection along the axis of the magnetic field. The self-consistency equation for a three-dimensional system is written in a closed form. The mean-field solution forms the Abrikosov lattice. We obtain ${\mathit{T}}_{\mathit{c}}$ for a general nonretarded interaction and compare it with the critical temperature for a charge-density-wave transition. For certain interactions we show that the superconductive transition has a higher mean field ${\mathit{T}}_{\mathit{c}}$ than the charge-density-wave one.