Symmetrical Hubbard model in the d = ∞ limit: Low: Temperature paramagnetic solution

Abstract

Based on the previously obtained equations, a paramagnetic solution to the symmetrical Hubbard model for the case of d = ∞, T = 0 K has been investigated. The solutions obtained are represented in the form of graphs of the density of electron states, number of doubly occupied lattice sites D, internal energy of the system E, and static paramagnetic susceptibility X as functions of electron interaction U. The calculation results show that the stable regimes of the formation of local moments at 0 < U < 1.8 and of the strong Kondo scattering in the region of 2.8 < U < 6.0 are separated by a region (1.8 < U < 2.8) where the behavior of the system becomes irregular. The parameter D randomly takes positive and negative magnitudes, whereas the susceptibility is positive (X > 0) and the average energy E is approximately const; this indicates the occurrence of a structural rearrangement, which is accompanied by phase separation. © Pleiades Publishing, Ltd., 2012.