Abstract We study the Ruderman-Kittle-Kasuya-Yosida (RKKY) interaction in doped both armchair and zigzag nanotubes. The effects of both gap parameter and electron doping on RKKY interaction have been addressed. RKKY interaction for traverse components of localized spins as a function of distance between localized moments has been analyzed. In order to calculate the exchange interaction along arbitrary direction between two magnetic moments, we should obtain transverse static spin susceptibility of graphene like nanotubes in the presence of gap parameter and electron doping. The spin susceptibility components are calculated using the spin dependent Green's function approach for tight binding model Hamiltonian. The effects of tube diameter on the dependence of exchange interaction on distance between moments are investigated via calculating correlation function of spin density operators. Our results show the influences of electron doping on the spatial behavior of transverse RKKY interactions are different for zigzag and armchair types of nanotube.

中文翻译：

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掺杂纳米管中的 RKKY 相互作用：全能带研究

摘要 我们研究了掺杂扶手椅和锯齿形纳米管中的 Ruderman-Kittle-Kasuya-Yosida (RKKY) 相互作用。已经解决了间隙参数和电子掺杂对 RKKY 相互作用的影响。已经分析了作为局部矩之间距离的函数的局部自旋横向分量的 RKKY 相互作用。为了计算两个磁矩之间沿任意方向的交换相互作用，我们应该获得存在间隙参数和电子掺杂的石墨烯类纳米管的横向静态自旋磁化率。自旋敏感性分量是使用紧束缚模型哈密顿量的自旋相关格林函数方法计算的。通过计算自旋密度算子的相关函数，研究了管径对交换相互作用对矩间距离依赖性的影响。我们的结果表明电子掺杂对横向 RKKY 相互作用的空间行为的影响对于锯齿形和扶手椅类型的纳米管是不同的。