Construction of superconducting pairs in the two-dimensional electron gas for the model of itinerant electrons

摘要

We consider a 3 ?3 finite plane lattice with Born-von Karman boundary conditions, threaded by magnetic field perpendicular to it, such that two quanta of flux cover exactly three Bravais cells. The corresponding magnetic translation group is determined, and the single-electron energy levels of the system are labelled by three-dimensional irreps of this group. We perform also the Clebsch-Gordan decomposition, and interpret selected irreps as the relevant superconducting pairs.