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Indirect exchange interaction between magnetic impurities in a gapped graphene structure
Author(s) -
H. Rezania,
Y. Naseri,
N. Shahrestani
Publication year - 2017
Publication title -
aip advances
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.421
H-Index - 58
ISSN - 2158-3226
DOI - 10.1063/1.4975041
Subject(s) - rkky interaction , condensed matter physics , exchange interaction , graphene , hamiltonian (control theory) , magnetic moment , physics , spin polarization , tight binding , spin (aerodynamics) , electron , electronic structure , ferromagnetism , quantum mechanics , mathematical optimization , mathematics , thermodynamics
We study exchange interaction between two magnetic impurities in doped gapped graphene (the Ruderman-Kittel-Kasuya-Yosida [RKKY]) interaction by directly computing Green’s function beyond Dirac approximation. Tight binding model Hamiltonian in the presence of magnetic long range ordering has been applied to describe electron dynamics. RKKY interaction as a function of distance between localized moments has been analyzed. It has been shown that a magnetic ordering along the z-axis mediates two different interactions for spin directions which corresponds to a XXZ model interaction between two magnetic moments. The exchange interaction along arbitrary direction between two magnetic moments, has been obtained using the static spin susceptibilities of gapped graphene structure. The effects of spin polarization on the the dependence of exchange interaction on distance between moments are investigated via calculating correlation function of spin density operators. Our results show the chemical potential impacts the spatial behavior of RKKY interaction. Moreover gap parameter effects on RKKY interaction have been investigated in details

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