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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2305.07051 |
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| _version_ | 1866913246192074752 |
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| author | Köhler, Fabian Vojta, Matthias |
| author_facet | Köhler, Fabian Vojta, Matthias |
| contents | Non-uniform strain applied to graphene's honeycomb lattice can induce pseudo-Landau levels in the single-particle spectrum. Various generalizations have been put forward, including a particular family of hopping models in $d$ space dimensions. Here we show that the key ingredient for sharp pseudo-Landau levels in higher dimensions is dimensional reduction. We consider particles moving on a $d$-dimensional hyper-diamond lattice which displays a semimetallic bandstructure, with a $(d-2)$-dimensional nodal manifold. By applying a suitable strain pattern, the single-particle spectrum evolves into a sequence of relativistic Landau levels. We develop and solve the corresponding field theory: Each nodal point effectively generates a Landau-level problem which is strictly two-dimensional to leading order in the applied strain. While the effective pseudo-vector potential varies across the nodal manifold, the Landau-level spacing does not. Our theory paves the way to strain engineering of single-particle states via dimensional reduction and beyond global minimal coupling. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2305_07051 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Nodal semimetals in $d\geq3$ to sharp pseudo-Landau levels by dimensional reduction Köhler, Fabian Vojta, Matthias Mesoscale and Nanoscale Physics Non-uniform strain applied to graphene's honeycomb lattice can induce pseudo-Landau levels in the single-particle spectrum. Various generalizations have been put forward, including a particular family of hopping models in $d$ space dimensions. Here we show that the key ingredient for sharp pseudo-Landau levels in higher dimensions is dimensional reduction. We consider particles moving on a $d$-dimensional hyper-diamond lattice which displays a semimetallic bandstructure, with a $(d-2)$-dimensional nodal manifold. By applying a suitable strain pattern, the single-particle spectrum evolves into a sequence of relativistic Landau levels. We develop and solve the corresponding field theory: Each nodal point effectively generates a Landau-level problem which is strictly two-dimensional to leading order in the applied strain. While the effective pseudo-vector potential varies across the nodal manifold, the Landau-level spacing does not. Our theory paves the way to strain engineering of single-particle states via dimensional reduction and beyond global minimal coupling. |
| title | Nodal semimetals in $d\geq3$ to sharp pseudo-Landau levels by dimensional reduction |
| topic | Mesoscale and Nanoscale Physics |
| url | https://arxiv.org/abs/2305.07051 |