Dynamics of helimagnets with spin polarised currents

Induced voltage due to time-dependent magnetisation textures

“…where the phase velocity, v p for current induced uniformly moving helimagnetic profiles is directly proportional to b=a G and the applied current j (e) [19]. As is the case in the earlier example, the induced voltage depends on the ratio b=a G .…”

“…The phase velocity of the profile is defined by v p ¼ o=k. This uniformly moving profile can be generated by a spin polarised current along the x-axis [19]. Substituting the expression for the travelling wave in the formula for the voltage we find that the adiabatic contribution vanishes and the induced voltage is given by…”

Thermo-Magneto-Electric Currents with Dynamical Magnetization Inhomogeneities

“…The dynamics of helimagnets in the isothermal regime with charge currents was previously studied in Ref. [11]. We will briefly recap the methods and results here and as will be shown later, the results can be trivially adapted to the nonisothermal regime.…”

“…We apply the previous results to Helimagnets whose time dependence arises from an applied charge current. [11] Metallic helimagnets have been studied for a long time now. Important examples of helimagnetism in metals occur in Ho metals [20−21] because of frustration, in MnSi [22−24] and FeGe [25] due to Dzyaloshinksi-Moriya interactions.…”

“…The wavenumber can be determined by substituting the above solutions in the energy and extremising with respect to k. The wave number decreases with increasing values of V p at constant J and D and as a function of β/α G is bounded from above by k 0 the ground state value i.e., k ≤ k 0 . [11] Also from Eq. (57) it can be noticed that for β = α G there is a non zero net magnetization but for β = α G , the net magnetization vanishes and the magnetization profile retains its ground state shape but is travelling with a phase velocity v p = V p .…”