Magnetic quantum ring in two-dimensional topological insulators |
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| Authors: | Guo Li Ning Yang Weidong Chu Haifeng Song Jia-Lin Zhu |
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| 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 |
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| 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. |
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| Keywords: | Corresponding authors. Topological insulators Magnetic edge states Angular momentum transitions Resonance tunneling |
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