@misc{10481/86623, year = {2020}, url = {https://hdl.handle.net/10481/86623}, abstract = {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.}, organization = {Spanish MICIU and Junta de Andalucía through the projects PGC2018-097831-B-I00, SOMM17/6105/UGR, UHU-1262561 and FQM-381}, organization = {Project DGAPA:IN101619}, publisher = {Wiley}, keywords = {Topological insulators}, keywords = {Phosphorene}, keywords = {Silicene}, title = {Analogies between the topologial insulator phase of 2D Dirac materials and the superradiant phase of atom-field systems}, doi = {10.1002/qua.26464}, author = {Calixto Molina, Manuel and Romera Gutiérrez, Elvira and Castaños, Octavio}, }