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15 February 2025
 
  » arxiv » 1608.8633

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Strain-induced Landau Levels in arbitrary dimensions with an exact spectrum
Stephan Rachel ; Ilja Goethel ; Daniel P. Arovas ; Matthias Vojta ;
Date 6 Sep 2016
AbstractCertain non-uniform 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 pseudo-magnetic 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 and propose experimental realizations.
Source arXiv, 1608.8633
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