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Magnetic quantum ring in two-dimensional topological insulators
Authors:Guo Li  Ning Yang  Weidong Chu  Haifeng Song  Jia-Lin Zhu
Affiliation:1. Institute of Applied Physics and Computational Mathematics, Beijing 100088, China;2. State Key Laboratory of Low-Dimensional Quantum Physics, Department of Physics, Tsinghua University, Beijing 100084, China
Abstract:The quantum properties of topological insulator magnetic quantum rings formed by inhomogeneous magnetic fields are investigated using a series expansion method for the modified Dirac equation. Cycloid-like and snake-like magnetic edge states are respectively found in the bulk gap for the normal and inverted magnetic field profiles. The energy spectra, current densities and classical trajectories of the magnetic edge states are discussed in detail. The bulk band inversion is found to manifest itself through the angular momentum transition in the ground state for the cycloid-like states and the resonance tunneling effect for the snake-like states.
Keywords:Corresponding authors.  Topological insulators  Magnetic edge states  Angular momentum transitions  Resonance tunneling
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