TY - JOUR
T1 - Invariance of the correlation energy at high density and large dimension in two-electron systems
AU - Loos, Pierre François
AU - Gill, Peter M.W.
PY - 2010/9/7
Y1 - 2010/9/7
N2 - We prove that, in the large-dimension limit, the high-density correlation energy Ec of two opposite-spin electrons confined in a D-dimensional space and interacting via a Coulomb potential is given by Ec∼-1/(8D2) for any radial confining potential V(r). This result explains the observed similarity of Ec in a variety of two-electron systems in three-dimensional space.
AB - We prove that, in the large-dimension limit, the high-density correlation energy Ec of two opposite-spin electrons confined in a D-dimensional space and interacting via a Coulomb potential is given by Ec∼-1/(8D2) for any radial confining potential V(r). This result explains the observed similarity of Ec in a variety of two-electron systems in three-dimensional space.
UR - http://www.scopus.com/inward/record.url?scp=77956371629&partnerID=8YFLogxK
U2 - 10.1103/PhysRevLett.105.113001
DO - 10.1103/PhysRevLett.105.113001
M3 - Article
SN - 0031-9007
VL - 105
JO - Physical Review Letters
JF - Physical Review Letters
IS - 11
M1 - 113001
ER -