Geometrically induced electric polarization in conical topological insulators

2011/11/29 by Jakson M. Fonseca, W. A. Moura-Melo, Winder A. Moura-Melo +2 · 12 citations
Chemistry · Mathematics · Physics and Astronomy · #Chemistry #Condensed matter physics #Conical surface #Geometry #Mathematics #Physics #Polarization (electrochemistry) #Quantum Mechanics and Non-Hermitian Physics #Quantum many-body systems #Topological Materials and Phenomena #Topological insulator #Topology (electrical circuits) #cond-mat.str-el #gr-qc #hep-th

paper · pdf · doi:10.1063/1.3698604

published in Journal of Applied Physics 111(6) (American Institute of Physics) · 4 pages revtex style, 2 figures

arxiv created 2011/11/29 · openalex publication_date 2012/03/15 · arxiv updated 2012/09/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

Topological magnetoelectric and gravitation-like Aharonov-Bohm effects yield electric polarization of conical topological insulators that depends only on the cone aperture angle, δ. Concretely, under the same external conditions, wider (δ > 30°) and narrower (δ < 30°) cones appear to polarize in opposite directions. Observation of such a phenomenon could be faced as a microscopic physical realization of (2 + 1)-dimensional Einstein gravity.

Citations

• Topological field theory of time-reversal invariant insulators
• Inverse Spin-Galvanic Effect in the Interface between a Topological Insulator and a Ferromagnet
• Topological insulators and superconductors
• Electric charging of magnetic textures on the surface of a topological insulator
• Topological Insulators
• The electronic properties of graphene
• Gravitational field of vacuum domain walls and strings