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Applying the recently developed variational approach to Kohn-Luttingersuperconductivity to the t-t' Hubbard model in two dimensions, we have found,for sizeable next-nearest neighbor hopping, an electron density controlledquantum phase transition between a d-wave superconducting state close to halffilling and an s-wave superconductor at lower electron density. The transitionoccurs via an intermediate time reversal breaking d+is superconducting phase,which is characterized by nonvanishing chirality and density-currentcorrelation. Our results suggest the possibility of a bulk time reversalsymmetry breaking state in overdoped cuprates

physical review. b, condensed matter and materials physics

Chiral<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>d</mml:mi><mml:mo>+</mml:mo><mml:mi>i</mml:mi><mml:mi>s</mml:mi></mml:math>superconducting state in the two-dimensional<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msup><mml:mrow><mml:mi>t</mml:mi><mml:mo>−</mml:mo><mml:mi>t</mml:mi></mml:mrow><mml:mrow><mml:mo>′</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:math>Hubbard model

Chirald+issuperconducting state in the two-dimensionalt−t′Hubbard model