Berlin 2018 – scientific programme
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TT: Fachverband Tiefe Temperaturen
TT 63: Topology: Quantum Hall Systems
TT 63.1: Talk
Wednesday, March 14, 2018, 15:00–15:15, A 053
Strain-Induced Landau Levels in Arbitrary Dimensions with an Exact Spectrum — •Stephan Rachel1, Ilja Goethel2, Daniel P. Arovas3, and Matthias Vojta2 — 1University of Melbourne, School of Physics — 2TU Dresden, Institut für Theoretische Physik — 3UC San Diego, Department of Physics
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.