Analogies between the topologial insulator phase of 2D Dirac materials and the superradiant phase of atom-field systems Calixto Molina, Manuel Romera Gutiérrez, Elvira Castaños, Octavio Topological insulators Phosphorene Silicene A semiclassical phase-space perspective of band- and topological-insulator regimes of 2D Dirac materials and normal- and superradiant phases of atom-field interacting models is given in terms of delocalization, entropies, and quantum correlation measures. From this point of view, the low-energy limit of tight-binding models describing the electronic band structure of topological 2D Dirac materials such as phosphorene and silicene with tunable band gaps share similarities with Rabi-Dicke and Jaynes-Cummings atom-field interaction models, respectively. In particular, the edge state of the 2D Dirac materials in the topological insulator phase exhibits a Schrödinger's cat structure similar to the ground state of two-level atoms in a cavity interacting with a one-mode radiation field in the superradiant phase. Delocalization seems to be a common feature of topological insulator and superradiant phases. 2024-01-09T07:41:19Z 2024-01-09T07:41:19Z 2020 journal article Published in Int. J. Quant. Chem. 2020;e26464: [https://doi.org/10.1002/qua.26464] https://hdl.handle.net/10481/86623 10.1002/qua.26464 eng http://creativecommons.org/licenses/by-nc-nd/4.0/ open access Attribution-NonCommercial-NoDerivatives 4.0 Internacional Wiley