Magnetization-non-conserving spin-orbit interactions enable quantum fluctuations to stabilize chiral ferromagnetic phases with spontaneous orbital chirality and enhanced thermal Hall effect, contrary to classical predictions of only collinear order.
=⇒ −3|r− |λ||+ h 2u1 + 2 u2 + u3 4 i ρ2 = 0 =⇒ρ 2 = 3|r− |λ|| 2 u1 +u 2 + u3 4 (S6.8) where in the second step we have added the three equations
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Fluctuation-driven chiral ferromagnetism
Magnetization-non-conserving spin-orbit interactions enable quantum fluctuations to stabilize chiral ferromagnetic phases with spontaneous orbital chirality and enhanced thermal Hall effect, contrary to classical predictions of only collinear order.