Finite-size scaling method for the stability of atomic and molecular ions

Pablo Serra, Sabre Kais, Juan Pablo Neirotti

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

Phase transitions at absolute zero temperature can take place as some parameter in the Hamiltonian of the system is varied. For the Hamiltonian of N-electron atoms, this parameter is taken to be the nuclear charge. As the nuclear charge reaches a critical point, the quantum ground state changes its characters from being bound to being degenerate or absorbed by a continuum. We describe the large-dimension approximation and the finite-size scaling method to calculate the critical nuclear charge for which an atom can bind an extra electron to form a stable negative ion. Results show that, at most, only one electron can be added to a free atom in the gas phase. The existence of doubly charged atomic negative ions in a strong magnetic field will be discussed.

Original languageEnglish
Pages (from-to)65-73
Number of pages9
JournalPhysica A: Statistical Mechanics and its Applications
Volume283
Issue number1
DOIs
Publication statusPublished - 1 Aug 2000
Externally publishedYes

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Finite-size Scaling
molecular ions
Charge
Electron
scaling
negative ions
atoms
N electrons
absolute zero
ions
Ground State
Critical point
critical point
Continuum
electrons
Phase Transition
Magnetic Field
vapor phases
continuums
Calculate

ASJC Scopus subject areas

  • Mathematical Physics
  • Statistical and Nonlinear Physics

Cite this

Finite-size scaling method for the stability of atomic and molecular ions. / Serra, Pablo; Kais, Sabre; Neirotti, Juan Pablo.

In: Physica A: Statistical Mechanics and its Applications, Vol. 283, No. 1, 01.08.2000, p. 65-73.

Research output: Contribution to journalArticle

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