Strain-Induced Landau Levels in Arbitrary Dimensions with an Exact Spectrum
Certain nonuniform strain applied to graphene flakes has been shown to induce pseudo-Landau levels in the single-particle spectrum, which can be rationalized in terms of a pseudomagnetic field for electrons near the Dirac points. However, this Landau level structure is, in general, approximate and r...
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| Published in | Physical review letters Vol. 117; no. 26; p. 266801 |
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| Main Authors | , , , |
| Format | Journal Article |
| Language | English |
| Published |
United States
23.12.2016
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| Online Access | Get more information |
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| Summary: | Certain nonuniform strain applied to graphene flakes has been shown to induce pseudo-Landau levels in the single-particle spectrum, which can be rationalized in terms of a pseudomagnetic field for electrons near the Dirac points. However, this Landau level structure is, in general, approximate and restricted to low energies. Here, we introduce a family of strained bipartite tight-binding models in arbitrary spatial dimension d and analytically prove that their entire spectrum consists of perfectly degenerate pseudo-Landau levels. This construction generalizes the case of triaxial strain on graphene's honeycomb lattice to arbitrary d; in d=3, our model corresponds to tetraxial strain on the diamond lattice. We discuss general aspects of pseudo-Landau levels in arbitrary d. |
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| ISSN: | 1079-7114 |
| DOI: | 10.1103/PhysRevLett.117.266801 |