  We present an efficient and accurate method for calculating electronic
structure and related properties of random alloys with a proper treatment of
local environment effects. The method is a generalization of the locally
self-consistent Green's function (LSGF) technique for the exact muffin-tin
orbital (EMTO) method. An alloy system in the calculations is represented by a
supercell with a certain set of atomic distribution correlation functions. The
Green's function for each atom in the supercell is obtained by embedding the
cluster of neighboring atoms lying within a local interaction zone (LIZ) into
an effective medium and solving the cluster Dyson equation exactly. The key
ingredients of the method are locality, which makes it linearly scaling with
the number of atoms in the supercell, and coherent-potential self-consistency
of the effective medium, which results in a fast convergence of the electronic
structure with respect to the LIZ size. To test the performance and accuracy of
the method, we apply it to two systems: Fe-rich bcc-FeCr random alloy with and
without a short-range order, and a Cr-impurity on the Fe surface. Both cases
demonstrate the importance of taking into account the local environment effects
for correct description of magnetic and bulk properties.
