Quantum criticality at the large-dimensional limit

Three-body Coulomb systems

Qicun Shi, Sabre Kais

Research output: Contribution to journalArticle

9 Citations (Scopus)

Abstract

We present quantum phase transitions and critical phenomena at the large-dimension (D) limit for three-body ABA Coulomb systems with charges (Q, q, Q) and masses (M, m, M). The Hamiltonian depends linearly on two parameters λ = |Q/q| and κ = [1 + (m/M)]-1. The system exhibits critical points with mean field critical exponents (α = 0, β = 1/2, δ = 3, γ = 1). We calculate the critical curve λc(κ) through which all systems undergo a continuous-phase transition from the symmetrical configuration, the two like particles have the same distance from the reference particle, to the unsymmetrical phase. The critical curve at D → ∞ limit is a convex function of κ and very similar to the one obtained at D = 3 with variational calculations. We also calculated the line of zero angular correlation in the mass polarization term, which separates the symmetrical phase to an atom-like region and a molecule-like region.

Original languageEnglish
Pages (from-to)307-314
Number of pages8
JournalInternational Journal of Quantum Chemistry
Volume85
Issue number4-5
DOIs
Publication statusPublished - 15 Nov 2001
Externally publishedYes

Fingerprint

Phase transitions
Hamiltonians
curves
angular correlation
critical point
exponents
Polarization
Atoms
Molecules
polarization
configurations
atoms
molecules

Keywords

  • ABA Coulomb system
  • Atom-like region
  • Hamiltonian
  • Molecule-like region
  • Reference particle
  • Zero angular correlation

ASJC Scopus subject areas

  • Physical and Theoretical Chemistry

Cite this

Quantum criticality at the large-dimensional limit : Three-body Coulomb systems. / Shi, Qicun; Kais, Sabre.

In: International Journal of Quantum Chemistry, Vol. 85, No. 4-5, 15.11.2001, p. 307-314.

Research output: Contribution to journalArticle

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