Q-ball mechanism of electron transport and spin/phonon excitations properties of high-Tc superconductors

Abstract

The Q-ball mechanism of high Tc superconductivity in cuprates, recently proposed by the author, is farther explored. Scattering on the Q-balls above Tc causes linear with temperature growth of electrical resistivity, splitting of the inplane phonon brunches into softened and hardened ones and hourglass dispersion of spin-wave excitations close to CDW and SDW wave vectors respectively. The diamagnetic response of Q-balls gas above Tc is in qualitative accord with experimental data in high Tc cuprates.

39 pages, 10 figures, new version contains new result added: derivation of the splitting of phonons dispersion into softened and hardened brunches and dynamical structure factor of the crystal lattice with Q-balls 'gas' close to CDW fluctuations wave vectors in the Brillouin zone using Q-ball theory presented in the previous versions