Strain-Induced Landau Levels in Arbitrary Dimensions with an Exact Spectrum
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Contributors
Abstract
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.
Details
Original language | English |
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Article number | 266801 |
Journal | Physical review letters |
Volume | 117 |
Issue number | 26 |
Publication status | Published - 21 Dec 2016 |
Peer-reviewed | Yes |