  Unveiling the nature of the pseudogap and its relation to both
superconductivity and antiferromagnetic Mott insulators, the pairing mechanism,
and a non-Fermi liquid phase is a key issue for understanding high temperature
superconductivity in cuprates.We here show that antiparallel magnetic order can
be reasonably and naturally predicted in hole-doped CuO2 planes by starting
from the ground state of a weakly doped antiferromagnetic insulator, where a
Skyrmion-type three-dimensional spin texture is created around the doped hole.
The superconducting transition temperature Tc can be understood in terms of the
temperature at which long-range antiparallel magnetic ordering is established,
resulting in the magnetically mediated superconducting state with
phase-coherent Cooper pairs. Upon heating above Tc, long-range phase coherence
in the pair state is lost, but the pair condensate still survives on the
medium-range length scale, transforming to the pseudogap state with charge and
magnetic orders. We believe the present model provides a key initial point to
unravel a wide variety of the apparently complex phenomena related to high
temperature cuprate superconductors.
