Inter-surface interaction via phonon in three-dimensional topological insulator

Abstract

We theoretically study the phonon mediated intersurface electron-electron interactions on the pseudo two-dimensional metallic states at the two surfaces of a three-dimensional topological insulator. From a model of a three-dimensional topological insulator including the phonon excitation in it, we derive the effective Lagrangian which describes the two surface metallic states and the interaction between them. The intersurface electron-electron interactions can be either repulsive or attractive depending on parameters such as temperature, the speed of the phonon, and the Fermi velocity of the surface states. The attractive interaction removes the Dirac nodes from the two surface states as a result of the spontaneous symmetry breaking. On the basis of the calculated results, we also discuss how to tune the inter-surface interaction.

8 pages, 6 figures

References in corpus (9)

• Topological Insulators with Inversion Symmetry
• The development of ferromagnetism in the doped topological insulator Bi2-xMnxTe3
• Exciton condensation and charge fractionalization in a topological insulator film
• Electron-phonon Coupling on the Surface of the Topological Insulator Bi2Se3: Determined from Surface Phonon Dispersion Measurements
• Ultrafast carrier and phonon dynamics in Bi2Se3 crystals
• Interaction-Enhanced Coherence Between Two-Dimensional Dirac Layers
• Electron-phonon scattering in topological insulators
• Electron-hole pairing in topological insulator thin film
• Interface Metallic States between a Topological Insulator and a Ferromagnetic Insulator

Cited by in corpus (2)

• Surface Majorana fermions and bulk collective modes in superfluid 3He-B
• Electron-Phonon Coupling on the Surface of Topological Insulators