This book offers a new approach to the long-standing problem of high-Tc copper-oxide
superconductors. It has been demonstrated that starting from a strongly correlated Hamiltonian
even within the mean-field regime the competing orders revealed by experiments can be achieved
using numerical calculations. In the introduction readers will find a brief review of the
high-Tc problem and the unique challenges it poses as well as a comparatively simple numerical
approach the renormalized mean-field theory (RMFT) which provides rich results detailed in
the following chapters. With an additional phase picked up by the original Hamiltonian some
behaviors of interactive fermions under an external magnetic field which have since been
experimentally observed using cold atom techniques are also highlighted.
