Analytical study of the Thermoresistivity Behavior of Zig-Zag Single-Walled (10,0) Carbon Nanotube Using the Deng-Fan-Hulthen Potential Model

Abstract

An analytical investigation of the thermoresistivity behavior of a semiconducting zig-zag single-walled (10,0) carbon nanotube is carried out using the Deng–Fan–Hulthén potential model. The Schrödinger wave equation is solved in the presence of magnetic and Aharonov-Bohm (AB) flux fields with the Nikiforov-Uvarov (NU) method to obtain the energy eigen value and wave function. With the energy equation, the partition function is calculated and used to evaluate the thermoresistivity properties of the nanotube in terms of temperature, tube’s length and diameter. From the graphical plots, thermoresistivity of the carbon nanotube decreases with increasing temperature. As the nanotube length increases, the thermoresistivity decreases in value. With the tube’s diameter, it is observed that the thermoresistivity also decreases as the diameter increases. The phonon-boundary and phonon-phonon scattering mechanism are responsible for this fundamental behavior.