Indirect RKKY interaction in doped armchair nanotube due to electron phonon interaction effects |
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| Institution: | 1. Condensed Matter Physics Division, Saha Institute of Nuclear Physics, Sector-I, Block-AF, Bidhannagar, Kolkata-700 064, India;2. Physics and Applied Mathematics Unit, Indian Statistical Institute, 203 Barackpore Trunk Road, Kolkata-700 108, India;1. Raymond and Beverly Sackler School of Physics and Astronomy, Tel Aviv University, Tel Aviv 69978, Israel;2. Physics Department, Ben Gurion University, Beer Sheva 84105, Israel;3. Department of Condensed Matter Physics, Weizmann Institute of Science, Rehovot 76100, Israel;1. School of Information and Electrical Engineering, Zhejiang University City College, Hangzhou 310015, China;2. Jiangsu Provincial Research Center of Light Industrial Optoelectronic Engineering and Technology, School of Science, Jiangnan University, Wuxi 214122, China |
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| Abstract: | We study the Ruderman-Kittle-Kasuya-Yosida (RKKY) interaction in doped armchair nanotube in the presence of gap parameter. The effects of both next nearest neighbor hopping parameter and electron-Holstein phonon on RKKY interaction have been addressed. RKKY interaction as a function of distance between localized moments have been analyzed. In order to calculate the exchange interaction along arbitrary direction between two magnetic moments, we should obtain the transverse static spin susceptibility of armchair graphene nanoribbon in the presence of electron-phonon coupling and gap parameter. The spin susceptibility components are calculated using Green’s function approach for Holstein model Hamiltonian. The effects of electron doping on dependence of exchange interaction on distance between moments are investigated via calculating correlation function of spin density operators. Our results show the influences of next nearest neighbor hopping parameter on the spatial behavior of RKKY interactions are different in the presence of electron phonon coupling. |
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