Coulomb ordering of Anderson-localized electron systems

We study the influence of interelectron Coulomb repulsion on an electron system undergoing strong Anderson localization. It is shown that at sufficiently low electron densities and for the system dimension $>1$, the Coulomb forces order the localized electrons into a slightly and randomly distorted crystal lattice. This Coulomb ordered Anderson localized electron state (COALES) is beyond the conventional Coulomb glass concept. The weak residual disorder inherent to the COALES is found to cause an infinite multi-valley degeneracy of the ground state similar to that in the spin glass. With increasing electron density the COALES turns into the Coulomb glass or into a different electron crystal-like structure, depending on parameters of the random potential localizing the electrons