G. Alvarez
Computer Science & Mathematics Division, Oak Ridge National Laboratory Oak Ridge, Tennessee 37831, USA
A. Moreo
Condensed Matter Sciences Division, Oak Ridge National Laboratory, Oak Ridge, Tennessee 37831 and Department of Physics and Astronomy, The University of Tennessee, Knoxville, Tennessee 37996, USA
E. Dagotto
Condensed Matter Sciences Division, Oak Ridge National Laboratory, Oak Ridge, Tennessee 37831 and Department of Physics and Astronomy, The University of Tennessee, Knoxville, Tennessee 37996, USA
A spin-fermion and Landau–Ginzburg model for high-temperature superconductors are formulated and analyzed with unbiased numerical techniques. The study of the competition between
d-wave superconductivity and antiferromagnetism in the clean limit suggests that the phase diagram
is not universal. When chemical disorder is considered, a «clustered state» with short range order but without long range order appears leading to the possibility of a giant proximity effect. The influence of disorder on the spectral function is also addressed and results are compared to available angle resolved photoemission data for cuprates.