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Analogies between the topologial insulator phase of 2D Dirac materials and the superradiant phase of atom-field systems
  • Manuel Calixto,
  • Elvira Romera,
  • Octavio Castaños
Manuel Calixto
Universidad de Granada
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Elvira Romera
Universidad de Granada
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Octavio Castaños
Universidad Nacional Autonoma de Mexico
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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 like 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 2D Dirac materials in the topological insulator phase exhibits a Schr\”odinger 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.

Peer review status:ACCEPTED

30 Mar 2020Submitted to International Journal of Quantum Chemistry
31 Mar 2020Submission Checks Completed
31 Mar 2020Assigned to Editor
17 Apr 2020Reviewer(s) Assigned
30 Jul 2020Review(s) Completed, Editorial Evaluation Pending
30 Jul 2020Editorial Decision: Revise Minor
05 Aug 20201st Revision Received
06 Aug 2020Submission Checks Completed
06 Aug 2020Assigned to Editor
06 Aug 2020Reviewer(s) Assigned
10 Aug 2020Review(s) Completed, Editorial Evaluation Pending
10 Aug 2020Editorial Decision: Accept