Identifying topological-band insulator transitions in silicene and other 2D gapped Dirac materials by means of Rényi-Wehrl entropy

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.

arXiv commentto appear in EPL

References in corpus (15)

• Quantum Spin Hall Effect in Graphene
• Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells
• Quantum Spin Hall Effect in Silicene
• Epitaxial Growth of a Silicene Sheet
• Low-energy effective Hamiltonian involving spin-orbit coupling in Silicene and Two-Dimensional Germanium and Tin
• Electrically Tunable Band Gap in Silicene
• Electronic structure of silicon-based nanostructures
• Gated Silicene as a tunable source of nearly 100% spin-polarized electrons
• Valley-Spin Polarization in the Magneto-Optical Response of Silicene and Other Similar 2D Crystals
• Valley polarized quantum Hall effect and topological insulator phase transitions in silicene
• Magneto-Optical Conductivity of Silicene and Other Buckled Honeycomb Lattices
• Optical Signatures of the Tunable Band Gap and Valley-Spin Coupling in Silicene
• Husimi distribution and phase space analysis of Dicke model quantum phase transition
• Husimi distribution and phase-space analysis of a vibron-model quantum phase transition
• Searching for pairing energies in phase space

Cited by in corpus (12)

• Inverse participation ratio and localization in topological insulator phase transitions
• Signatures of excited state quantum phase transitions in quantum many body systems: Phase space analysis
• Dirac Cone Pairs in Silicene Induced by Interface Si-Ag Hybridization: A First Principles Effective Band Study
• 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
• Hilbert space structure of the low energy sector of U(N) quantum Hall ferromagnets and their classical limit
• Husimi function and phase-space analysis of bilayer quantum Hall systems at $\nu =2/\lambda$
• Faraday rotation and transmittance as markers of topological phase transitions in 2D materials
• Capturing magic angles in twisted bilayer graphene from information theory markers
• 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