Fractal Surface States in Three-Dimensional Topological Quasicrystals
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
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2024
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| _version_ | 1866910671773368320 |
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| author | Chen, Zhu-Guang Lou, Cunzhong Hu, Kaige Lim, Lih-King |
| author_facet | Chen, Zhu-Guang Lou, Cunzhong Hu, Kaige Lim, Lih-King |
| contents | We study topological states of matter in quasicrystals, which do not rely on crystalline orders. In the absence of a bandstructure description and spin-orbit coupling, we show that a three-dimensional quasicrystal can nevertheless form a topological insulator. It relies on a combination of noncrystallographic rotational symmetry of quasicrystals and electronic orbital space symmetry, which is the quasicrystalline counterpart of topological crystalline insulator. The resulting topological state obeys a non-trivial twisted bulk-boundary correspondence and lacks a good metallic surface. The topological surface states, localized on the top and bottom planes respecting the quasicrystalline symmetry, exhibit a new kind of multifractality with probability density concentrates mostly on high symmetry patches. They form a near-degenerate manifold of 'immobile' states whose number scales proportionally with the macroscopic sample size. This can open the door to a novel platform for topological surface physics distinct from the crystalline counterpart. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2401_11497 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Fractal Surface States in Three-Dimensional Topological Quasicrystals Chen, Zhu-Guang Lou, Cunzhong Hu, Kaige Lim, Lih-King Mesoscale and Nanoscale Physics Disordered Systems and Neural Networks Materials Science We study topological states of matter in quasicrystals, which do not rely on crystalline orders. In the absence of a bandstructure description and spin-orbit coupling, we show that a three-dimensional quasicrystal can nevertheless form a topological insulator. It relies on a combination of noncrystallographic rotational symmetry of quasicrystals and electronic orbital space symmetry, which is the quasicrystalline counterpart of topological crystalline insulator. The resulting topological state obeys a non-trivial twisted bulk-boundary correspondence and lacks a good metallic surface. The topological surface states, localized on the top and bottom planes respecting the quasicrystalline symmetry, exhibit a new kind of multifractality with probability density concentrates mostly on high symmetry patches. They form a near-degenerate manifold of 'immobile' states whose number scales proportionally with the macroscopic sample size. This can open the door to a novel platform for topological surface physics distinct from the crystalline counterpart. |
| title | Fractal Surface States in Three-Dimensional Topological Quasicrystals |
| topic | Mesoscale and Nanoscale Physics Disordered Systems and Neural Networks Materials Science |
| url | https://arxiv.org/abs/2401.11497 |