Pairing gaps near ferromagnetic quantum critical points

Abstract : We address the quantum-critical behavior of a two-dimensional itinerant ferromagnetic systems described by a spin-fermion model in which fermions interact with close to critical bosonic modes. We consider Heisenberg ferromagnets, Ising ferromagnets, and the Ising nematic transition. Mean-field theory close to the quantum critical point predicts a superconducting gap with spin-triplet symmetry for the ferromagnetic systems and a singlet gap for the nematic scenario. Studying fluctuations in this ordered phase using a nonlinear sigma model, we find that these fluctuations are not suppressed by any small parameter. As a result, we find that a superconducting quasi-long-range order is still possible in the Ising-like models but long-range order is destroyed in Heisenberg ferromagnets.
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Matthias Einenkel, Hendrik Meier, Catherine Pépin, Konstantin B. Efetov. Pairing gaps near ferromagnetic quantum critical points. Physical Review B : Condensed matter and materials physics, American Physical Society, 2015, 91 (6), ⟨10.1103/PhysRevB.91.064507⟩. ⟨cea-01469582⟩

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