Effect of pseudospin-1 fermions on the RKKY interaction in α-T<sub>3</sub> lattice
POSTER
Abstract
The interaction energy for the indirect-exchange or Ruderman-Kittel-Kasuva-Yosida (RKKY) interaction between magnetic spins localized on lattice sites of the α-T3 model is calculated using linear response theory. In this model, the AB-honeycomb lattice structure is supplemented with C atoms at the centers of the hexagonal lattice. This introduces a parameter alpha for the ratio of the hopping integral from hub-to-rim and that around the rim of the hexagonal lattice. A valley and alpha-dependent retarded Green’s function matrix in momentum-energy space is generated using the (A,B,C) lattice basis forming the low-energy Hamiltonian. The corresponding coordinate space Green’s functions not only depend on which sublattice (A,B or C) the interacting spins are located but the cut-off wave vector used in the Fourier transform integral restricted to lie within the first Brillouin zone (B.Z.).
Presenters
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Godfrey Gumbs
- Hunter college, CUNY
- Hunter College of the City University of New York
- Hunter college
- Physics and Astronomy, Hunter college
- Department of Physics & Astronomy, Hunter College-CUNY, New York
- Physics and Astronomy, Hunter college,City University of New York
- Department of Physics and Astronomy, Hunter College of the City University of New York
- Physics and Astronomy, Hunter College of CUNY
- Physics and Astronomy, Hunter College, City University of New York