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Itinerant ferromagnetism and<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:mi>p</mml:mi><mml:mo>+</mml:mo><mml:mi>i</mml:mi><mml:msup><mml:mi>p</mml:mi><mml:mo>′</mml:mo></mml:msup></mml:mrow></mml:math>superconductivity in doped bilayer silicene

Itinerant ferromagnetism and<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:mi>p</mml:mi><mml:mo>+</mml:mo><mml:mi>i</mml:mi><mml:msup><mml:mi>p</mml:mi><mml:mo>′</mml:mo></mml:msup></mml:mrow></mml:math>superconductivity in doped bilayer silicene

We study the electronic instabilities of doped bilayer silicene using the random phase approximation. In contrast to the singlet $d+i{d}^{\ensuremath{'}}$ superconductivity at the low doping region, we find that the system is an itinerant ferromagnet in the narrow doping regions around the Van Hove singularities, and a triplet $p+i{p}^{\ensuremath{'}}$ superconductor …