https://doi.org/10.1140/epjb/e2008-00284-8
Ground-state energy of a classical artificial molecule
1
Instituto de Física, Universidade Federal de Goiás Campus Samambaia, 74001-970 Goiânia, GO, Brazil
2
Instituto de Física de São Carlos, Universidade de São Paulo, 13560-970 São Carlos, SP, Brazil
Corresponding author: a ladir@fis.ufg.br
Received:
17
April
2008
Revised:
9
June
2008
Published online:
16
July
2008
We study the ground-state energy of a classical artificial molecule formed by two-dimensional clusters (artificial atoms) of N/2 charged particles separated by a distance d. For the small molecules of N = 2 and 4, we obtain analytical expressions for this energy. For the larger ones, we calculate the ground-state energy using molecular dynamics simulation for N up to 128. From our numerical results, we are able to find out a function to approximate the ground-state energy of the molecules covering the range from atoms to molecules for any inter-atom distance d and for particle number from N=8 to 128 within a difference less than one percent from the MD data.
PACS: 36.40.Wa – Charged clusters / 02.70.Ns – Molecular dynamics and particle methods / 68.65.Hb – Quantum dots / 71.10.-w – Theories and models of many-electron systems
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2008
