Critical Phenomena for Electronic Structure at the Large-Dimension Limit

PABLO SERRA; SABRE KAIS

PHYSICAL REVIEW LETTERS

AMER PHYSICAL SOC

Lugar: New York; Año: 1996 vol. 77 p. 466 - 469

0031-9007

We show that the symmetry breaking of the electronic structure configurations at the large-D limit iscompletely 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.