Table 1 Dynamic spin-phonon model properties and static spin exchange parameters.

From: Coherent helicity-dependent spin-phonon oscillations in the ferromagnetic van der Waals crystal CrI3

Quantity or Parameter

Variable Label

Value

Phonon mass

M

\(6.3\times {10}^{-25}\,{{{{{\rm{kg}}}}}}\)

Phonon frequency

Ω

\(3.87\,{{{{{\rm{THz}}}}}}\)

Spin-phonon coupling

ϕ

\(1.98\,{\AA }^{-1}\)

Dynamically modulated Heisenberg interaction

\({\tilde{J}}_{H1,{{{{{\bf{rr}}}}}}^{{{\prime} }}}\)

\({J}_{H1}\left(1+\phi \left({X}_{{{{{{\bf{r}}}}}}}+{X}_{{{{{{{\bf{r}}}}}}}^{{{{\prime} }}}}\right)/2\right)\)

Nearest neighbor Heisenberg

JH1

\(-2.4\,{{{{{\rm{meV}}}}}}\)

Second-nearest neighbor Heisenberg

JH2

\(-0.1\,{{{{{\rm{meV}}}}}}\)

Third-nearest neighbor Heisenberg

JH3

\(0.1\,{{{{{\rm{meV}}}}}}\)

Nearest-neighbor Kitaev

JK

\(0.9\,{{{{{\rm{meV}}}}}}\)

Second-nearest neighbor DM

JD

\(-0.2\,{{{{{\rm{meV}}}}}}\)

Single-ion anisotropy

JA

\(-0.2\,{{{{{\rm{meV}}}}}}\)

Inter-plane nearest neighbor Heisenberg

JHc

\(-0.59\,{{{{{\rm{meV}}}}}}\)