Abstract:
An approach has been developed using the tight-binding and double-exchange Hamiltonian methods for calculating the $E(\mathbf{k})$ spectrum of $e_g$ electrons in noncollinear (spiral) magnetic structures of R$_{1-x}A_x$MnO$_3$ ($R$ = La, Pr, Nd, Sm; $A$ = Ca, Sr, Ba) manganites. A magnetic structure in the form of a flat cycloid observed in TbMnO$_3$ below 28 K has been considered for undoped manganites ($x$ = 0).