Lebedeva O.S., Lebedev N.G., Lyapkosova I.A. Piezoconductivity of Сhiral Сarbon Nanotubes in the Framework of the Tight-Binding Method

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https://doi.org/10.15688/mpcm.jvolsu.2018.1.6

Olga  Sergeevna  Lebedeva
Candidate of Physical and Mathematical Sciences, Assistant,
Department of Theoretical Physics and Wave Phenomena,
Volgograd State University
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Prosp. Universitetsky, 100, 400062 Volgograd, Russian Federation

Nikolay  Gennadyevich  Lebedev
Doctor of Physical and Mathematical Sciences, Professor,
Department of Theoretical Physics and Wave Phenomena,
Volgograd State University
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Prosp. Universitetsky, 100, 400062 Volgograd, Russian Federation

Irina Aleksandrovna  Lyapkosova
Candidate of Agricultural Sciences,
Associate Professor, Department of Mechanics,
Volgograd State Agrarian University
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Prosp. Universitetsky, 26, 400002 Volgograd, Russian Federation

Abstract. The  results  of a theoretical study  of the  piezoresistive properties  of chiral carbon nanotubes with different types of conductivity are presented in this paper. An analytical expression for an electron spectrum of the chiral deformed carbon nanotubes has been obtained using the tight-binding method. External mechanical loads lead to band gap changes of the studied  nanoparticles,  which  has  an  indirect  influence  on  its  conductivity.  This  change  of conductivity due to a deformation is called piezoresistance effect, which is characterized by piezoresistive  constants.  In  the  framework  of  the  Hubbard  model  and  the  Green  function method, an analytic calculation of such constants, the longitudinal component of the elasto-conductivity tensor, has been carried out. Its dependence on nanotubes’ diameter, the magnitude of relative deformation of longitudinal compression and stretching are investigated.

Key words: elasto-conductivity tensor, piezoresistance effect, compression and expansion deformation, band gap.

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Piezoconductivity of Сhiral Сarbon Nanotubes in the Framework of the Tight-Binding Method by Lebedeva O.S., Lebedev N.G., Lyapkosova I.A. is licensed under a Creative Commons Attribution 4.0 International License.

Citation in English: Mathematical Physics and Computer Simulation. Vol. 21 No. 1 2018, pp. 53-63

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