Entropic uncertainty relations and topological-band insulator transitions in 2D gapped Dirac materials

Abstract

Uncertainty relations are studied for a characterization of topological-band insulator transitions in 2D gapped Dirac materials isostructural with graphene. We show that the relative or Kullback-Leibler entropy in position and momentum spaces, and the standard variance-based uncertainty relation, give sharp signatures of topological phase transitions in these systems.

arXiv comment11 pages, 5 figures. To appear in Journal of Physics: Condensed Matter

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Cited by in corpus (7)

• Entropic Uncertainty Relations and their Applications
• Inverse participation ratio and localization in topological insulator phase transitions
• Band inversion at critical magnetic fields in a silicene quantum dot
• Hilbert space structure of the low energy sector of U(N) quantum Hall ferromagnets and their classical limit
• Faraday rotation and transmittance as markers of topological phase transitions in 2D materials
• Some properties of Grassmannian $U(4)/U(2{)}^2$ coherent states and an entropic conjecture
• Quantum revivals in HgTe/CdTe quantum wells and topological phase transitions