This work presents a novel and innovative design approach for Graphene Nano-Ribbon Field Effect Transistors (GNR FETs), uniquely employing Zigzag Graphene Nano-Ribbons (ZGNRs) as electrodes and Armchair Graphene Nano-Ribbons (AGNRs) as the channel region. To deeply understand device performance, rigorous first-principles modeling was conducted, leveraging Extended-Hückel formalism alongside Landauer-Buttiker transport theory. Extensive Technology Computer-Aided Design (TCAD) simulations systematically explored the impact of critical parameters such as doping concentration (ND), gate voltage (Vg), and drain voltage (Vd) on transistor behavior. However, the computational intensity associated with such comprehensive analyses necessitated the introduction of an advanced Machine Learning (ML)-assisted methodology, specifically employing a Conventional Artificial Neural Network (C-ANN). Remarkably, this ML-driven strategy achieved highly accurate results within significantly reduced computational times of just 80–90 seconds, underscoring its practicality and efficiency. Furthermore, the intrinsic 2.71 eV band gap of the pristine AGNR channel was effectively modulated in a broad range (0.013–1.6 eV) through controlled doping and engineered defects. An N-passivated AGNR FET demonstrated an extraordinary 157 times enhancement in drive current, although its negligible band gap raised concerns regarding leakage currents. Alternatively, the N-doped Stone-Wales AGNR FET provided a well-balanced performance with a 33.21 nA drive current and a suitable 0.58 eV band gap, substantially reducing leakage risks, enhancing thermal stability, and improving peak inverse voltage robustness. This pioneering ML-assisted C-ANN approach highlights significant potential for accelerating accurate and reliable nano-transistor analyses.

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Coupled oscillations of ring lattices with different types of dielectric resonators are considered. New analytical equations for complex frequencies and amplitudes of resonators, without restrictions on their number, are obtained. General analytical solutions for the frequencies and amplitudes of coupled oscillations for different ring lattices built on different resonators are found. It is noted that the obtained equations are also suitable for describing coupled oscillations of a ring lattices with degenerate oscillations of resonators, as well as with structures that contain ring lattices with different number elements. In general, the solutions for eigen waves propagating in periodic ring structures of DR are found. The solutions for several ring lattices consisting of two, three and four resonators of different types are compared with the numerical values found from the eigenvalues of the general coupling matrix. Good agreement between the analytical and the numerical results of calculating of the coupling matrix eigenvalues is demonstrated. The developed theory is the basis for the design and optimization of parameters of different devices of the microwave, theraherz and optical wavelength ranges, that built on a large number of dielectric resonators of various types. New equations obtained for calculating coupled oscillations of dielectric resonators also allow build more efficient models of scattering for optimization of various dielectric metamaterials.

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