Localized charged states and phase segregation are described in the framework of the phenomenological Ginzburg-Landau theory of phase transitions. The Coulomb interactions determines the charge distribution and the characteristic length of the phase separated states. The phase separation with charge segregation becomes possible because of the large dielectric constant and the small density of extra charge in the range of charge localization. The phase diagram is calculated and the energy gain of the phase separated state is estimated. The role of the Coulomb interaction is elucidated.
PACS numbers:There is a common belief that complex interactions between charge, spin, orbital, and lattice degrees of freedom may lead to inhomogeneous ground state with charge and phase separation. The role of these inhomogeneous states in the anomalous transport and magnetic properties in manganites [1,2,3,4,5,6] and in high temperature superconductors [7,8,9,10] is often discussed in literature. It was shown that inhomogeneous states may appear above Curie temperature and new characteristic temperature T * was introduced [5,7]. Note, that the tendency to the phase separation is widely discussed for manganites [4,5,6], as well as for high-temperature superconductors [7], microscopic origin of this anomalous behavior is far from understanding. The origin and the temperature range of this phenomena is still an open problem [3,4,5,6,8,9,10,11]. In this paper we discuss the tendency and conditions of the formation of inhomogeneous states with the spacial charge localization and the phase separation within the phenomenological Ginzburg-Landau formalism and clarify the role of the Coulomb interaction in this phenomena.