### 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 language | English |
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Pages (from-to) | 65-73 |

Number of pages | 9 |

Journal | Physica A: Statistical Mechanics and its Applications |

Volume | 283 |

Issue number | 1 |

DOIs | |

Publication status | Published - 1 Aug 2000 |

Event | VI 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 1999 → 16 Oct 1999 |

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### ASJC Scopus subject areas

- Statistics and Probability
- Condensed Matter Physics

### Cite this

*Physica A: Statistical Mechanics and its Applications*,

*283*(1), 65-73. https://doi.org/10.1016/S0378-4371(00)00129-1