Critical phenomena for electronic structure at the large-dimension limit

We show that the symmetry breaking of the electronic structure configurations at the large-D limit is completely analogous to the standard phase transitions and critical phenomena in statistical mechanics. Electronic structure at the large-D limit exhibits critical points with mean field critical exponents (beta = 1/2, alpha = 0(dis), delta = 3, and gamma = 1). The complete mapping is presented for the Hartree-Fock two-electron atom in weak electric field and the two Coulomb center problems.