Spin transport in the frustrated anisotropic two-dimensional ferromagnet in the square lattice

• We study the spin transport of the model at T=0 with objective to verify the influence of the parameters of frustration η and λ in the spin conductivity.
• We consider the anisotropy parameter Δ=1→TheΔ=1→The phase diagram of the model presents a quantum phase transition in the points η1Cη1C and η2C→Theseη2C→These points have an influence in the height of the spin conductivity σreg(ω)→Weσreg(ω)→We calculate the dynamic structure factor S(q,ω)S(q,ω) for different values of wave vector q.
• The parameters of frustration generate a bit influence on the spin conductivity and in the S(q,ω)S(q,ω).

We use the SU(3) Schwinger boson formalism together with the Kubo theory of the linear response to study the spin transport in the two-dimensional S  =1 frustrated anisotropic Heisenberg ferromagnet in a square lattice with easy-plane single-ion anisotropy and considering the second-neighbor interaction in the diagonal and the third-neighbor interaction (J1J1–J2J2–J3J3 model). The AC spin conductivity σreg(ω)σreg(ω) is determined for several values of the critical single-ion parameter D, and the frustration parameters J2 and J3. We have calculated the dynamic structure factor too, S(q→,ω), for this model and obtained a behaviour exponentially decreasing for the damping Γq with the decreasing of q=|q→| towards q→0q→0.