Influence of Klein edges on Phononic and electronic transport in circular graphene devices

We study the electron and phonon transport coefficients of graphene disks and rings in the presence of Klein edges. We examine the transport characteristics by changing of the outer and inner radius using the non-equilibrium Green's function approach. We find that the effect of the nanodisk radius is highly influenced by the Klein edges, such that at small radii, armchair Klein edges can help preserve the electronic transport coefficient from suppression, while zigzag Klein edges significantly suppress the transmission spectrum, highlighting the importance of the edge atom sublattice. The behavior is also observed in cases where only one side of the circular disk is preserved, showing that it is not rooted in the symmetric geometry of the circle. The value of the outer radius has a more regular influence on the electronic conductance than the value of the inner one. However, in the examined sizes, the phononic spectrum does not exhibit a clear dependence on the edges. Our results contribute to the understanding of the behavior of Klein edges, which is crucial for the design of high-performance nanoscale electronic devices, the creation of stable qubits for advances in quantum computing.