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Effect of a fermion on quantum phase transitions in bosonic systems
Authors:F. Iachello  D. Petrellis
Affiliation:a Center for Theoretical Physics, Sloane Physics Laboratory, Yale University, New Haven, Connecticut 06520-8120, USA
b Racah Institute of Physics, The Hebrew University, Jerusalem 91904, Israel
c Institute of Nuclear Physics, N.C.S.R. “Demokritos”, GR-15310 Aghia Paraskevi, Attiki, Greece
Abstract:The effect of a fermion with angular momentum j on quantum phase transitions of a (s,d) bosonic system is investigated. It is shown that the presence of a fermion strongly modifies the critical value at which the transition occurs, and its nature, even for small and moderate values of the coupling constant. The analogy with a bosonic system in an external field is mentioned. Experimental evidence for precursors of quantum phase transitions in bosonic systems plus a fermion (odd-even nuclei) is presented.
Keywords:Bose-Fermi systems   Algebraic models   Quantum shape-phase transitions   Interacting boson-fermion model (IBFM)
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