The ground-state configurations and spectrum of two parallel two-dimensional classical atoms are obtained as a function of the inter-atomic distance (d). The classical particles are confined by parabolic potentials and repel each other through a Coulomb potential. As a function of d we find several configurational transitions which are of first or second order. For first-(second-) order transitions the first (second) derivative of the energy with respect to d is discontinuous, the radial position of the particles changes discontinuously (continuously) and the frequency of the eigenmodes exhibit a jump (softening of a mode). In the limit of an infinite number of electrons the Wigner bilayer system is recovered which moves through five different stable crystalline phases as a function of d. For unequal strength of parabolic confinement we find that the number of configurational transitions increases. Published by Elsevier Science B.V.

Classical molecules in two dimensions / Peeters, F. M.; Partoens, B.; Schweigert, V. A.; Goldoni, G.. - In: PHYSICA E-LOW-DIMENSIONAL SYSTEMS & NANOSTRUCTURES. - ISSN 1386-9477. - 1:1-4(1997), pp. 219-225. [10.1016/s1386-9477(97)00069-6]

Classical molecules in two dimensions

Goldoni G.
1997-01-01

Abstract

The ground-state configurations and spectrum of two parallel two-dimensional classical atoms are obtained as a function of the inter-atomic distance (d). The classical particles are confined by parabolic potentials and repel each other through a Coulomb potential. As a function of d we find several configurational transitions which are of first or second order. For first-(second-) order transitions the first (second) derivative of the energy with respect to d is discontinuous, the radial position of the particles changes discontinuously (continuously) and the frequency of the eigenmodes exhibit a jump (softening of a mode). In the limit of an infinite number of electrons the Wigner bilayer system is recovered which moves through five different stable crystalline phases as a function of d. For unequal strength of parabolic confinement we find that the number of configurational transitions increases. Published by Elsevier Science B.V.
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Classical molecules in two dimensions / Peeters, F. M.; Partoens, B.; Schweigert, V. A.; Goldoni, G.. - In: PHYSICA E-LOW-DIMENSIONAL SYSTEMS & NANOSTRUCTURES. - ISSN 1386-9477. - 1:1-4(1997), pp. 219-225. [10.1016/s1386-9477(97)00069-6]
Peeters, F. M.; Partoens, B.; Schweigert, V. A.; Goldoni, G.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11380/1264974
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