Article Content
Highlights
- •
The shorter the carbon nanotubes doped with N, the higher the conductivity.
- •
The doping spacing is negatively correlated with electron mobility.
- •
The decrease in spacing between N atoms leads to an increase in electron mobility.
- •
Electrons are easily scattered by nitrogen atom impurities.
Abstract
Based on the non-equilibrium Green’s function (NEGF) method in density functional theory (DFT), the electron transport of nitrogen-doped (8,0) carbon nanotubes with different lengths and doping spacings is studied. Doped nitrogen atoms break the spatial symmetry of the carbon nanotube. In the energy band, impurities ionize to generate new bands and reduce the band gap width. The reduced spacing enables atoms to ionize more electrons and increases electron mobility. Reducing the length of the nanotube within a certain range helps to decrease the probability of lattice scattering and enhances electron transport in the nanotube. Doping spacing and electron mobility show a negative correlation for nanotubes with the same length. The conductivity is influenced by the degree of electron scattering and the ionization-recombination processes of impurities. This demonstrates that by varying the nitrogen doping spacing and carbon nanotube length, it is possible to manipulate the electrical characteristics of single-walled carbon nanotubes (SWCNTs).
Graphical abstract

Introduction
Several challenges, such as the short-channel effect and poor electron transport, still exist in the application of silicon-based materials in the application of integrated circuits despite wide utilization. Through ongoing research and development, we have discovered that carbon-based materials hold significant practical potential. Doping is one of the modification methods for carbon-based materials and has increasingly become a focus of research [1,2]. Since Iijima’s discovery, carbon nanotubes (CNTs) have gathered significant interest globally due to their excellent mechanical and electrical properties. They have been synthesized and applied in various fields [3,4]. CNTs are now among the most studied materials due to their advantages in length-to-diameter ratio, electrical conductivity, and structural stability [5,6]. Carbon atoms substitution can be easily achieved in numerous synthetic methods, and nitrogen atoms are selected as an ideal dopant due to its similar electronic structure and electronegativity. Nitrogen doping enhances the conductivity, field electron emission properties, and chemical activity of CNTs toward gas molecules [7]. Jaclyn D [8] investigated the impact of heteroatomic doping (e.g., boron and nitrogen) on the physicochemical properties of sp2 carbon materials. It was evident that N doping and the resulting degradation of the carbon lattice structure would lead to changes in electron transport. San et al. [9] examined the impact of nitrogen doping in four types of single-walled carbon nanotubes and found that both amino functional groups and substitutional doping had significant effects. Yu et al. [10] and Shao et al. [11] found that doping single-walled carbon nanotubes leads to an upward shift in the Fermi energy level and a decrease in the work function, resulting in increased electrical conductivity. Allali et al. [12] demonstrated that the electronic properties of nitrogen-doped nanotubes are related not only to the concentration of nitrogen atoms but also to their distribution in nanotubes. Ayala et al. [13] described the properties of doped carbon nanotubes and hybrid nanotubes formed by stable carbon and nitrogen-containing chemical groups, respectively. Wang et al. [14] conducted pioneering research on the effect of doping on electron transport in ultrafine carbon nanotube devices. They found that the electron transport properties are influenced by the spatial distribution of doping impurities. The optimal transport properties were observed when impurities were linearly distributed along the carbon nanotube axis. Therefore, we focus on studying longitudinal linear doping patterns. We investigated the effects of doping mode and nanotube length on electron transport based on previous research on doped single-walled carbon nanotubes. Zigzag (8,0) carbon nanotubes primarily exhibit semiconductor properties. Since the electronic properties of CNTs are strongly dependent on their atomic structure, mechanical deformations or chemical doping can induce significant changes in conductance [15].
In this study, energy band, density of states, voltammetry characteristic curves, and differential charge density are analyzed to investigate the structure and properties of carbon nanotubes with various nitrogen doping configurations. Linearly doped zigzag (8,0) CNTs are divided into two groups for straightforward comparison.
Access through your organization
Check access to the full text by signing in through your organization.
Section snippets
Model
In this study, Materials Studio (MS) software was used to construct a zigzag (8,0) single-walled carbon nanotube. Carbon nanotubes in the first group are 19.89 Å in length with 160 atoms in each one, and have nitrogen doping intervals of 4.26 Å, 8.53 Å, 12.79 Å, and 17.07 Å, respectively. The nanotubes are labeled M1, M2, M3, and M4, and the nanotube with the longest doping interval is marked by the largest number. M0 represents an intrinsic single-walled carbon nanotube. In the second group of
Methods
This study employs the linear combination of atomic orbitals method provided by MS [18], where wave function of each electron is expanded using a basis set centered on a local atom in DMol3 [19]. Each base function is numerically defined on a radial grid, and the generalized gradient approximation (GGA) [[20], [21], [22]] method is used to handle the exchange-correlation between electrons with a double numerical (DN) basis set. The specific form is Perdew-Burke-Ernzerhof [23]. The energy
Stability of structure
Fig. 2 shows the optimization results. As can be observed, radial deformation is more pronounced than axial deformation in nitrogen-rich single-walled carbon nanotubes. Additionally, changing the length of the single-walled carbon nanotubes while keeping the doping distance constant affects its electron tunneling and transport properties. Using 4.26 Å as the fixed interval for nitrogen atom doping, carbon nanotube models with lengths of 7.14 Å, 11.40 Å, and 15.65 Å were created and named M5,
Conclusion
In conclusion, we investigated the electron transport characteristics of zigzag (8,0) carbon nanotubes with various doping spacings and lengths. Nitrogen atoms were used as the dopant. The doping spacing and nanotube length have a considerable impact on the transport and electrical properties of nanotubes with the same doping spacing. The ionization ability of nitrogen atoms increases as the doping spacing decreases in nanotubes of the same length. Scattering decreases as seperation decreases,
Data and code availability
Not Applicable.
Ethical approval
Not Applicable.
Supplementary information
Not Applicable.
CRediT authorship contribution statement
Yayu Deng: Writing – original draft, Validation, Software, Methodology, Formal analysis, Data curation. Qingyi Shao: Writing – review & editing, Visualization, Supervision, Resources, Project administration, Investigation, Conceptualization.
Declaration of interest statement
We declare that we have no financial and personal relationships with other people organizations that can inappropriately influence our work, there is no professional or other personal interest of any nature or kind in any product, service and/or company that could be construed as influencing the position presented in, or the review of, the manuscript entitled.
Acknowledgments
This research did not receive any specific grant from funding agencies in the public, commercial, or not-for-profit sectors.
References (47)
- et al.
Fabrication of vapor and gas sensors using films of aligned CNx nanotubes
Chem. Phys. Lett.
(2004) - et al.
First principle calculations of the electronic properties of nitrogen-doped carbon nanoribbons with zigzag edges
Carbon
(2008) - et al.
First-principles study of structural and work function properties for nitrogen-doped single-walled carbon nanotubes
Appl. Surf. Sci.
(2016) - et al.
Single wall carbon nanotubes density of states: comparison of experiment and theory
Chem. Phys. Lett.
(2003) - et al.
The doping of carbon nanotubes with nitrogen and their potential applications
Carbon
(2010) - et al.
Tiny nano-scale junction built on B/N doped single carbon nanotube
Nanotechnology
(2019) - et al.
Electronic properties and gas adsorption behaviour of pristine, silicon-, and boron-doped (8,0) single-walled carbon nanotube: a first principles study
J. Mol. Graph. Model.
(2017) - et al.
Effect of boron and nitrogen co-doping on CNT’s electrical properties: density functional theory
Chin. J. Phys.
(2018) - et al.
The effective thermal conductivity of ballistic-diffusive heat conduction in nanostructures with internal heat source
Int. J. Heat Mass Transf.
(2016) - et al.
A continuum mechanics nonlinear postbuckling analysis for single-walled carbon nanotubes under torque
Eur. J. Mech. a-Solids
(2008)