We explore the situation of intertwined quantum phase transitions (IQPTs), for which a QPT involving a crossing of two configurations is accompanied by a shape evolution of each configuration with its own separate QPT. We demonstrate the relevance of IQPTs to the Zr isotopes, with such coexisting Type I and Type II QPTs, and ground state shapes changing from spherical to prolate axially deformed and finally to γ-unstable. Evidence for this scenario is provided by a detailed comparison with experimental data, using a definite symmetry-based conceptual framework.
Bibliographical noteFunding Information:
This work was supported in part by the US DOE under Grant No. DE-FG02-91ER-40608 and by the US-Israel Binational Science Foundation Grant No. 2016032. We thank R. F. Casten for fruitful discussions. Recently we learned from J. E. García-Ramos of another ongoing calculation for the Zr isotopes in the IBM-CM framework.
© 2019 American Physical Society.