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.

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

References in corpus (7)

• Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells
• Electronic structure of silicon-based nanostructures
• Formulation of the uncertainty relations in terms of the Renyi entropies
• Valley polarized quantum Hall effect and topological insulator phase transitions in silicene
• Optical Signatures of the Tunable Band Gap and Valley-Spin Coupling in Silicene
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Cited by in corpus (2)

• Inverse participation ratio and localization in topological insulator phase transitions
• Band inversion at critical magnetic fields in a silicene quantum dot