Realistic picture of helical edge states in HgTe quantum wells

Abstract

We propose a minimal effective two-dimensional Hamiltonian for HgTe/CdHgTe quantum wells (QWs) describing the side maxima of the first valence subband. By using the Hamiltonian, we explore the picture of helical edge states in tensile and compressively strained HgTe QWs. We show that both dispersion and probability density of the edge states can differ significantly from those predicted by the Bernevig-Hughes-Zhang (BHZ) model. Our results pave the way towards further theoretical investigations of HgTe-based quantum spin Hall insulators with direct and indirect band gaps beyond the BHZ model.

8 pages, 6 figures

References in corpus (17)

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• Terahertz detection of magnetic field-driven topological phase transition in HgTe-based transistors
• Two dimensional topological insulator in quantizing magnetic fields

Cited by in corpus (24)

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• Massless Dirac fermions in III-V semiconductor quantum wells
• Perspectives of HgTe Topological Insulators for Quantum Hall Metrology
• Quantitative theory of backscattering in topological HgTe and (Hg,Mn)Te quantum wells: acceptor states, Kondo effect, precessional dephasing, and bound magnetic polaron
• Disorder-induced phase transition in Dirac systems beyond the linear approximation
• Optical properties of helical edge channels in zinc-blende-type topological insulators: Selection rules, circular and linear dichroism, circular and linear photocurrents
• Engineering topological phases in triple HgTe/CdTe quantum wells
• Velocity and confinement of edge plasmons in HgTe-based 2D topological insulators
• Hybridization of topological surface states with a flat band
• Parity symmetry as the origin of 'spin' in the quantum spin Hall effect
• Substrate-limited helical edge states
• Multi-probe analysis to separate edge currents from bulk currents in quantum spin Hall insulators and to analyze their temperature dependence
• Aniotropy of in-plane g-factor of electrons in HgTe quantum wells
• Disorder-induced phase transitions in double HgTe quantum wells
• Topological and magnetic properties of the interacting Bernevig-Hughes-Zhang model
• Bias-Voltage-Induced Topological Phase Transition in Finite Size Quantum Spin Hall Systems in the Presence of a Transverse Electric Field
• Characterization of helical states in semiconductor quantum wells using quantum information quantities
• Quasiparticle picture of topological phase transitions induced by interactions
• Study of the transition from resonance to bound states in quantum dots embedded on a nanowire using the $\mathbf{k}\cdot \mathbf{p}$ method
• Hard wall edge confinement in 2D topological insulators and the energy of the Dirac Point
• Buried Dirac points in quantum spin Hall insulators: Implications for Majorana Kramers pair-based quantum computing
• Semiclassical scattering by edge imperfections in topological insulators under magnetic field
• Large inverted band-gap in strained three-layer InAs/GaInSb quantum wells
• Higher-order topological insulator in cubic semiconductor quantum wells