APS Logo

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

  • 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

Authors

  • 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

  • Andrii Iurov

    Medgar Evers College, Medgar Evers College of City University of New York, Medgar Evers college, Department of Physics and Computer Science, Medgar Evers College of City University of New York, Physics and Astronomy, Medgar Evers College, City University of New York, Medgar Evers College of the City University of New York, Department of Physics, Medgar Evers College of City University of New York

  • Danhong Huang

    Air Force Research Lab, Air Force Research Laboratory, Kirtland Air Force Base, Albuquerque, NM, Kirtland Air Force Research Lab, Space Vehicles Directorate, Air Force Research Lab - Kirtland, Air Force Research Laboratory, Air Force Research Laboratory, Kirtland Airforce Base, Albuquerque, NM