Aparicio Alcalde, M. [UNESP]Bucher, M.Emary, C.Brandes, T.2013-09-302014-05-202013-09-302014-05-202012-07-18Physical Review E. College Pk: Amer Physical Soc, v. 86, n. 1, p. 4, 2012.1539-3755http://hdl.handle.net/11449/24651We consider the Dicke model in the ultrastrong-coupling limit to investigate thermal phase transitions and their precursors at finite particle numbers N for bosonic and fermionic systems. We derive partition functions with degeneracy factors that account for the number of configurations and derive explicit expressions for the Landau free energy. This allows us to discuss the difference between the original Dicke (fermionic) and the bosonic case. We find a crossover between these two cases that shows up, for example, in the specific heat.4engThermal phase transitions for Dicke-type models in the ultrastrong-coupling limitArtigo10.1103/PhysRevE.86.012101WOS:000306509700007Acesso restritoWOS000306509700007.pdf