Three-dimensional topological twistronics
We introduce a theoretical framework for the concept of three-dimensional (3D) twistronics by developing a generalized Bloch band theory for 3D layered systems with a constant twist angle θ between successive layers. Our theory employs a nonsymmorphic symmetry that enables a precise definition of an...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
American Physical Society
2020-04-01
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| Series: | Physical Review Research |
| Online Access: | http://doi.org/10.1103/PhysRevResearch.2.022010 |
| _version_ | 1797211453296476160 |
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| author | Fengcheng Wu Rui-Xing Zhang Sankar Das Sarma |
| author_facet | Fengcheng Wu Rui-Xing Zhang Sankar Das Sarma |
| author_sort | Fengcheng Wu |
| collection | DOAJ |
| description | We introduce a theoretical framework for the concept of three-dimensional (3D) twistronics by developing a generalized Bloch band theory for 3D layered systems with a constant twist angle θ between successive layers. Our theory employs a nonsymmorphic symmetry that enables a precise definition of an effective out-of-plane crystal momentum, and also captures the in-plane moiré pattern formed between neighboring twisted layers. To demonstrate topological physics that can be achieved through 3D twistronics, we present two examples. In the first example of chiral twisted graphite, Weyl nodes arise because of inversion-symmetry breaking, with θ-tuned transitions between type-I and type-II Weyl fermions, as well as magic angles at which the in-plane velocity vanishes. In the second example of a twisted Weyl semimetal, the twist in the lattice structure induces a chiral gauge field A that has a vortex-antivortex lattice configuration. Line modes bound to the vortex cores of the A field give rise to 3D Weyl physics in the moiré scale. We also discuss possible experimental realizations of 3D twistronics. |
| first_indexed | 2024-04-24T10:26:44Z |
| format | Article |
| id | doaj.art-1fea9abfdfc54acf98f01522baa828b6 |
| institution | Directory Open Access Journal |
| issn | 2643-1564 |
| language | English |
| last_indexed | 2024-04-24T10:26:44Z |
| publishDate | 2020-04-01 |
| publisher | American Physical Society |
| record_format | Article |
| series | Physical Review Research |
| spelling | doaj.art-1fea9abfdfc54acf98f01522baa828b62024-04-12T16:52:35ZengAmerican Physical SocietyPhysical Review Research2643-15642020-04-012202201010.1103/PhysRevResearch.2.022010Three-dimensional topological twistronicsFengcheng WuRui-Xing ZhangSankar Das SarmaWe introduce a theoretical framework for the concept of three-dimensional (3D) twistronics by developing a generalized Bloch band theory for 3D layered systems with a constant twist angle θ between successive layers. Our theory employs a nonsymmorphic symmetry that enables a precise definition of an effective out-of-plane crystal momentum, and also captures the in-plane moiré pattern formed between neighboring twisted layers. To demonstrate topological physics that can be achieved through 3D twistronics, we present two examples. In the first example of chiral twisted graphite, Weyl nodes arise because of inversion-symmetry breaking, with θ-tuned transitions between type-I and type-II Weyl fermions, as well as magic angles at which the in-plane velocity vanishes. In the second example of a twisted Weyl semimetal, the twist in the lattice structure induces a chiral gauge field A that has a vortex-antivortex lattice configuration. Line modes bound to the vortex cores of the A field give rise to 3D Weyl physics in the moiré scale. We also discuss possible experimental realizations of 3D twistronics.http://doi.org/10.1103/PhysRevResearch.2.022010 |
| spellingShingle | Fengcheng Wu Rui-Xing Zhang Sankar Das Sarma Three-dimensional topological twistronics Physical Review Research |
| title | Three-dimensional topological twistronics |
| title_full | Three-dimensional topological twistronics |
| title_fullStr | Three-dimensional topological twistronics |
| title_full_unstemmed | Three-dimensional topological twistronics |
| title_short | Three-dimensional topological twistronics |
| title_sort | three dimensional topological twistronics |
| url | http://doi.org/10.1103/PhysRevResearch.2.022010 |
| work_keys_str_mv | AT fengchengwu threedimensionaltopologicaltwistronics AT ruixingzhang threedimensionaltopologicaltwistronics AT sankardassarma threedimensionaltopologicaltwistronics |