Mohammad Mahdi Valizadeh

RKKY interaction for the spin-polarized electron gas

We extend the original work of Ruderman, Kittel, Kasuya, and Yosida (RKKY) on the interaction between two magnetic moments embedded in an electron gas to the case where the electron gas is spin polarized. The broken symmetry of a host material %(here we have a broken time reversal symmetry) introduces the Dzyaloshinsky-Moriya (DM) vector and tensor interaction terms, in addition to the standard RKKY term, so that the net interaction energy has the form:

Magnetic exchange interaction in the spin‐polarized electron gas

{\cal H} = J \vec S_1 \cdot \vec S_2 + \vec D \cdot \vec S_1 \times \vec S_2 + \vec S_1 \cdot \stackrel{\leftrightarrow}{\Gamma} \cdot \vec S_2

Impurity States on the Kagome Lattice Using Green's Function Method

. We find that for the spin-polarized electron gas, a non-zero tensor interaction

Anisotropic RKKY and Dzyaloshinsky-Moriya interactions in a two-dimensional spin-polarized electron gas with Rashba and Dresselhaus spin-orbit coupling

\stackrel{\leftrightarrow}{\Gamma}

Dzyaloshinsky-Moriya Interaction in a Two-Dimensional Electron Gas With Rashba Spin-Orbit Coupling

is present in addition to the scalar RKKY interaction

Effect of Broken Time-Reversal Symmetry on the Interaction Between Two Localized Magnetic Moments in a Host Solid

J

Effective Tight Binding Hamiltonian for the Class of Monolayer Dichalcogenides

, while

RKKY and Dzyaloshinsky-Moriya Interaction in the Electron Gas

\vec D

Density Functional and Effective Hamiltonian Calculations of the Spin-Orbit Coupling in WS

is zero due to the presence of inversion symmetry. Explicit expressions for these are derived for the electron gas both in 2D and 3D. The RKKY interaction exhibits a beating pattern, caused by the presence of the two Fermi momenta

_2

k_{F\uparrow}