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

TL;DR

This paper demonstrates that various entropy-based uncertainty measures can effectively signal topological phase transitions in 2D gapped Dirac materials, providing a new way to characterize these quantum states.

Contribution

It introduces entropy-based uncertainty relations as sharp indicators of topological insulator transitions in 2D Dirac materials, expanding the tools for quantum phase characterization.

Findings

Kullback-Leibler entropy signals topological transitions

Standard variance uncertainty relation detects phase changes

Entropy measures provide sharp signatures of topological phases

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.