  A detailed dynamical analysis of the tachyonic teleparallel dark energy
model, in which a non-canonical scalar field (tachyon field) is non-minimally
coupled to gravitation, is performed. It is found that, when the non-minimal
coupling is ruled by a dynamically changing coefficient $\alpha\equiv
f_{,\phi}/\sqrt{f}$, with $f(\phi)$ an arbitrary function of the scalar field
$\phi$, the universe may experience a field-matter-dominated era "$\phi$MDE",
in which it has some portions of the energy density of $\phi$ in the matter
dominated era. This is the most significant difference in relation to the
so-called teleparallel dark energy scenario, in which a canonical scalar field
(quintessence) is non-minimally coupled to gravitation.
