Well-localized edge states in two-dimensional topological insulators: ultrathin Bi films

Abstract

We theoretically study the generic behavior of the penetration depth of the edge states in two-dimensional quantum spin Hall systems. We found that the momentum-space width of the edge-state dispersion scales with the inverse of the penetration depth. As an example of well-localized edge states, we take the Bi(111) ultrathin film. Its edge states are found to extend almost over the whole Brillouin zone. Correspondingly, the bismuth (111) 1-bilayer system is proposed to have well-localized edge states in contrast to the HgTe quantum well.

4 pages, 4 figures

References in corpus (11)

• Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells
• Quantum Spin Hall Insulator State in HgTe Quantum Wells
• Topological Insulators with Inversion Symmetry
• Nonlocal edge state transport in the quantum spin Hall state
• Time Reversal Polarization and a Z_2 Adiabatic Spin Pump
• The Helical Liquid and the Edge of Quantum Spin Hall Systems
• Quantum Spin Hall Effect and Enhanced Magnetic Response by Spin-Orbit Coupling
• Finite size effects of helical edge states in HgTe/CdTe quantum wells
• Perfectly Conducting Channel and Universality Crossover in Disordered Nano-Graphene Ribbons
• Maximally Localized Wannier Functions within the FLAPW formalism
• Coherent Oscillations and Giant Edge Magnetoresistance in Singly Connected Topological Insulators

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