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- W2047893693 abstract "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=½, δ=3, γ=1). We calculate the critical curve λ c (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. © 2001 John Wiley & Sons, Inc. Int J Quantum Chem, 2001" @default.
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- W2047893693 date "2001-01-01" @default.
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- W2047893693 title "Quantum criticality at the large-dimensional limit: Three-body Coulomb systems" @default.
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- W2047893693 doi "https://doi.org/10.1002/qua.1542" @default.
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