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Graphene's isolation launched explorations of fundamental relativisticphysics originating from the planar honeycomb lattice arrangement of the carbonatoms, and of potential technological applications in nanoscale electronics.Bottom-up fabricated atomically-precise segmented graphene nanoribbons, SGNRs,open avenues for studies of electrical transport, coherence, and interferenceeffects in metallic, semiconducting, and mixed GNRs, with different edgeterminations. Conceptual and practical understanding of electric transportthrough SGNRs is gained through nonequilibrium Green's function (NEGF)conductance calculations and a Dirac continuum model that absorbs thevalence-to-conductance energy gaps as position-dependent masses, includingtopological-in-origin mass-barriers at the contacts between segments. Thecontinuum model reproduces the NEGF results, including optical DiracFabry-Perot (FP) equidistant oscillations for massless relativistic carriers inmetallic armchair SGNRs, and an unequally-spaced FP pattern for mixedarmchair-zigzag SGNRs where carriers transit from a relativistic (armchair) toa nonrelativistic (zigzag) regime. This provides a unifying framework foranalysis of coherent transport phenomena and interpretation of forthcomingexperiments in SGNRs.

Interplay of relativistic and nonrelativistic transport in atomically precise segmented graphene nanoribbons