  We theoretically investigate the intra-band transitions in M\"{o}bius
molecules. Due to the weak magnetic response, the relative permittivity is
significantly modified by the presence of the medium while the relative
permeability is not. We show that there is hyperbolic dispersion relation
induced by the intra-band transitions because one of the eigen-values of
permittivity possesses a different sign from the other two, while all three
eigen-values of permeability are positive. We further demonstrate that the
bandwidth of negative refraction is 0.1952~eV for the $H$-polarized incident
light, which is broader than the ones for inter-band transitions by 3 orders of
magnitude. Moreover, the frequency domain has been shifted from ultra-violet to
visible domain. Although there is negative refraction for the $E$-polarized
incident light, the bandwidth is much narrower and depends on the incident
angle.
