Abstract

A theoretical study is made of the piezoresistive properties of chiral carbon nanotubes with different types of conduction, both ideal and doped with substitutional point defects at different concentrations, uniformly distributed in the crystal lattice. Boron and nitrogen atoms are chosen as acceptor and donor impurities, respectively. The energy-band structure of the studied nanoparticles is examined using the Hubbard–Anderson model and Green’s function. The longitudinal component of the tensor of elastic conductivity is calculated analytically, and the dependence of this tensor on the diameter of nanotubes, the relative longitudinal compressive and tensile deformations, and the concentration of impurities are studied. The obtained results are validated physically and compared to the literature data.

中文翻译：

---

同构杂质对手性碳纳米管弹性电导率的影响

摘要

对具有不同类型的导电性的手性碳纳米管的压阻特性进行了理论研究，这些导电性均理想且掺杂有不同浓度的取代点缺陷，且均分布在晶格中。分别选择硼和氮原子作为受体杂质和施主杂质。使用Hubbard-Anderson模型和格林函数检查了所研究纳米粒子的能带结构。通过分析计算弹性电导率张量的纵向分量，并研究该张量对纳米管直径，相对纵向压缩和拉伸变形以及杂质浓度的依赖性。对获得的结果进行物理验证，并与文献数据进行比较。