In this paper we study and compare the single-particle and selected electronic transport properties of a topologically trivial (TT) and topologically nontrivial (TNT) two-dimensional system with two Mexican-hat-like valence bands. Both TT and TNT cases are described by 2 \(\times\) 2 effective Hamiltonian matrices from which the density of state, the total and effective charge carrier concentration, the Hall coefficient, and the real part of the interband conductivity are calculated. The main result is that electron-doped TT and TNT cases cannot be distinguished on the basis of the intraband transport quantities like the Drude spectral weight or the zero-field Hall coefficient. Moreover it is shown that intraband properties depend only on the energy of the band minimum and the local maximum. The two topological cases can be differentiated in the interband charge transport, like in the real part of the interband conductivity, which is given in terms of the band minimum and local maximum transition energies with two experimentally observable differences between TT and TNT cases.
