Fracton Contribution to the Electron and Magnon Pairing

Abstract

We show that high temperature superconductivity contrary to the Bardeen-Cooper-Schrieer /BCS/ superconductors exhibits three important energy scales. The highest is associated with the formation of Cooper pairs coupled due to the magnetic fracton excitations, the second (pseudogap) we ascribe to the formation of coherent but not nonsuperuid condensate. The lowest energy scale (superconducting gap) we associate with the onset of superuidity of the condensate that is due to the phonon aided fracton hopping.