Identifying topological-band insulator transitions in silicene and other 2D gapped Dirac materials by means of Rényi-Wehrl entropy
arXiv:1502.02515 · doi:10.1209/0295-5075/109/40003
Abstract
We propose a new method to identify transitions from a topological insulator to a band insulator in silicene (the silicon equivalent of graphene) in the presence of perpendicular magnetic and electric fields, by using the Rényi-Wehrl entropy of the quantum state in phase space. Electron-hole entropies display an inversion/crossing behavior at the charge neutrality point for any Landau level, and the combined entropy of particles plus holes turns out to be maximum at this critical point. The result is interpreted in terms of delocalization of the quantum state in phase space. The entropic description presented in this work will be valid in general 2D gapped Dirac materials, with a strong intrinsic spin-orbit interaction, isoestructural with silicene.
to appear in EPL
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Cited by in corpus (7)
- Inverse participation ratio and localization in topological insulator phase transitions
- Band inversion at critical magnetic fields in a silicene quantum dot
- Identifying the order of a quantum phase transition by means of Wehrl entropy in phase-space
- Entropic uncertainty relations and topological-band insulator transitions in 2D gapped Dirac materials
- Faraday rotation and transmittance as markers of topological phase transitions in 2D materials
- Capturing magic angles in twisted bilayer graphene from information theory markers
- Quantum revivals in HgTe/CdTe quantum wells and topological phase transitions