  We examine the unusual dispersion and attenuation of transverse
electromagnetic waves in the few-THz regime on nanoscale graphene and copper
transmission lines. Conventionally, such propagation has been considered to be
highly dispersive, due to the RC-constant-driven voltage diffusion below 1THz
and plasmonic effects at higher frequencies. Our numerical modelling between
the microwave and optical regimes reveals that conductor kinetic inductance
creates an ultra-broadband LC region. This resultant frequency-independent
attenuation is an ideal characteristic that is known to be non-existent in
macro-scale transmission lines. The kinetic-LC frequency range is dictated by
the structural dimensionality and the free-carrier scattering rate of the
conductor material. Moreover, up to 40x wavelength reduction is observed in
graphene transmission lines.
