Quantum phase transitions in a system of N bosons with angular momentum L=. 0, 2 (. s,. d) and a single fermion with angular momentum j are investigated both classically and quantum mechanically. It is shown that the presence of the odd fermion strongly influences the location and nature of the phase transition, especially the critical value of the control parameter at which the phase transition occurs. Experimental evidence for the U(5)-SU(3) (spherical to axially-deformed) transition in odd-even nuclei is presented.
Bibliographical noteFunding Information:
We thank C.E. Alonso, J.M. Arias, M. Böyükata, M.A. Caprio, L. Fortunato and especially, A. Vitturi for many useful discussions on their work in QPT in Bose–Fermi systems. This work was performed in part under DOE Grant No. DE-FG-02–91ER40608 and in part by a grant from the US-Israel Binational Science Foundation.
- Algebraic models
- Bose-Fermi systems
- Interacting boson-fermion model (IBFM)
- Quantum shape-phase transitions