Quantum criticality and stability of three-body Coulomb systems
نویسندگان
چکیده
We present quantum phase transitions and critical phenomena of three-body Coulomb systems with charges (Q , q, Q) and masses (M , m, M ). Full numerical results, using the finite-size scaling method, for an arbitrary mass ratio 0<k5(11m/M )<1 over the range 1<l5uQ/qu<1.25, show that there exists a transition curve lc(k) through which all systems undergo a first-order phase transition from stable to unstable. Particularly, lc(k) has a minimum at km50.35, which leads to a new proposed classification of the three-body Coulomb systems: moleculelike systems, k.km , such as Ps 2 (k50.5) and atomlike systems, k,km , such as p̄ p̄d (k50.33).
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