Abstract
Applying the recently developed variational approach to Kohn-Luttinger superconductivity to the $t\ensuremath{-}{t}^{\ensuremath{'}}$ Hubbard model in two dimensions, we have found, for sizeable next-nearest-neighbor hopping, an electron-density-controlled quantum phase transition between a d-wave superconducting state close to half filling and an s-wave superconductor at lower electron density. The transition occurs via an intermediate time-reversal breaking $d+is$ superconducting phase, which is characterized by nonvanishing chirality and density-current correlation. Our results suggest the possibility of a bulk time-reversal symmetry breaking state in overdoped cuprates.
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