@article{10272/10851, year = {2014}, url = {http://hdl.handle.net/10272/10851}, abstract = {We introduce the basic concepts of catastrophe theory needed to derive analytically the phase diagram of the proton-neutron interacting boson model (IBM-2). Previous studies [1,2,3] were based on numerical solutions. We here explain the whole IBM-2 phase diagram including the precise order of the phase transitions in terms of the cusp catastrophe.}, organization = {We thank fruitful discussions with J. Margalef-Roig and S. Miret-Artes. This work was partially supported by the Spanish Ministerio de Economia y Competitividad and the European Regional Development Fund (FEDER) under Project Nos. FIS2011-28738-C02-01, FIS2011-28738-C02-02, FIS2012-34479, and by Junta de Andalucia under Project Nos. FQM160, P11-FQM-7632 and FQM318, as well as by Spanish Consolider-Ingenio 2010 (CPANCSD2007-00042).}, publisher = {Elsevier}, keywords = {Proton-neutron interacting boson model}, keywords = {Quantum phase transition}, keywords = {Catastrophe theory}, title = {Disentangling phase transitions and critical points in the proton–neutron interacting boson model by catastrophe theory}, doi = {10.1016/j.physletb.2014.07.038}, author = {García Ramos, José Enrique and Arias Carrasco, José Miguel and Dukelsky, J.}, }