### 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 |

Externally published | Yes |

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### ASJC Scopus subject areas

- Mathematical Physics
- Statistical and Nonlinear Physics

### Cite this

*Physica A: Statistical Mechanics and its Applications*,

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

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

Research output: Contribution to journal › Article

*Physica A: Statistical Mechanics and its Applications*, vol. 283, no. 1, pp. 65-73. https://doi.org/10.1016/S0378-4371(00)00129-1

}

TY - JOUR

T1 - Finite-size scaling method for the stability of atomic and molecular ions

AU - Serra, Pablo

AU - Kais, Sabre

AU - Neirotti, Juan Pablo

PY - 2000/8/1

Y1 - 2000/8/1

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=0033691943&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0033691943&partnerID=8YFLogxK

U2 - 10.1016/S0378-4371(00)00129-1

DO - 10.1016/S0378-4371(00)00129-1

M3 - Article

VL - 283

SP - 65

EP - 73

JO - Physica A: Statistical Mechanics and its Applications

JF - Physica A: Statistical Mechanics and its Applications

SN - 0378-4371

IS - 1

ER -