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MnP and FeP are show complex magnetic spiral states with geometric phasecontributions to the anomalous Hall effect and the topological Hall effect,where both have thermoelectric Nernst counterparts. We use state of the artfirst principle calculations to show that both Hall and Nernst effects areenhanced in MnP and FeP due to the temperature dependent magnetic texture. Atambient pressure the inversion breaking crystals shows a transition from adouble-spiral helimagnetic phase to a topologically trivial magnetic phase.This helimagnetic structure is determined by exchange frustration and theDzyaloshinskii-Moriya interaction. In the presence of an external magneticfield the magnetic structure transforms into a fan-like phase with a finitespin chirality that gives rise to an effective magnetic field on the order$\sim$1 T. The topological Hall and Nernst effect from this field arecomparable or larger to tightly-wound skyrmion systems. Lastly, we show thatthe topological effects are strongly dependent on the Fermi surface topology,which has strong variations and even sign changes for similar magnetictextures.

Topological Contributions to the Anomalous Nernst and Hall Effect in the Chiral Double-Helimagnetic System