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

Pablo Serra, Sabre Kais, Juan Pablo Neirotti

Research output: Contribution to journalConference article

1 Citation (Scopus)


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
Issue number1
Publication statusPublished - 1 Aug 2000
EventVI Latin American Workshop on Nonlinear Phenomena LAWNP'99 , The XII MEDYFINOL Conference on 'Statistical Physics of Dynamic and Complex Systems' - Cordoba, Argent
Duration: 12 Oct 199916 Oct 1999


ASJC Scopus subject areas

  • Statistics and Probability
  • Condensed Matter Physics

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