Critical Phenomena for Electronic Structure at the Large-Dimension Limit

Pablo Serra, Sabre Kais
1996 Physical Review Letters  
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 (b 1 2 , a 0 dis , d 3, and g 1). The complete mapping is presented for the Hartree-Fock twoelectron atom in weak electric field and the two Coulomb center problems. [S0031-9007(96)
doi:10.1103/physrevlett.77.466 pmid:10062818 fatcat:p2fxpvn2sbblzf7q3gmy3n4wq4