We extend the method discovered by A Y Alekseev et al [1] to the case of fermions in external fields. A general formula for conductance G is proved. In the (1+1)-D case with symmetry at time reflection, it is shown that: G = e2/h +o ( α2 ) , where α is the strength of the external field. In (3+1)-D free case, it is checked that G = ne2/h, where n is the number of the filled energetic bands of t...

After the discovery of the high-Tc superconducting oxides, many strongly correlated 3d electron systems have been reinvestigated. Recently, perovskite-type manganese oxides (R,A)MnO3 have been studied extensively. The above group of materials exhibit colossal magnetoresistance (MR) at the carrier doped region, which is interesting not only from the standpoint of strongly correlated systems but ...

The exceptionally high mobility of carriers in graphene is one of its defining characteristics, especially in view of potential applications. Therefore it is of both practical and fundamental importance to understand the mechanisms responsible for limiting the values of the mobility. The aim of the paper is to study theoretically one such mechanism, i.e. scattering on ripples. The transport pro...