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Showing 1 to 8 of 8 for “"Hofstadter butterfly"”.

  1. Properties of the α-T3 Model

    … Also in a magnetic field, we calculate the Hofstadter butterfly spectra of the α-T3 lattice, and detail the evolution of the Hofstadter butterfly as it changes periodicity by a factor of three as we vary α between the two limiting cases.

    guelph Repository record for Properties of the α-T3 Model (opens in a new tab)

  2. Crystalline Topological Invariants in Invertible Fermionic States and Fractional Chern Insulators

    … numerical methods are demonstrated using the Hofstadter model, which exhibits non-zero Chern number and magnetic field. These invariants, together with several established invariants in the literature, gives a complete classification of ground states and reveal novel colorings of the …

    maryland Repository record for Crystalline Topological Invariants in Invertible Fermionic States and Fractional Chern Insulators (opens in a new tab)

  3. Spectral gaps for many-particle systems, semiclassical analysis of graphene, and quantum dynamics

    … methods, we analyze the self-similarity in the Hofstadter butterfly and the metal/-insulator transition in both models. In the second chapter of part two, we analyze, using again semiclassical techniques, the squeezing of bands in a model of twisted bilayer graphene and related properties such …

    cambridge Repository record for Spectral gaps for many-particle systems, semiclassical analysis of graphene, and quantum dynamics (opens in a new tab)

  4. Vortex Configurations Of Bosons In Rotating Optical Lattices

    … between these vortex structures and the Hofstadter-butterfly spectrum of free particles on a rotating lattice. We then investigate vortex configurations within a harmonically trapped Bose-Einstein condensate in a rotating optical lattice. We find that proximity to the Mott insulating …

    cornell Repository record for Vortex Configurations Of Bosons In Rotating Optical Lattices (opens in a new tab)

  5. Electronic properties and device applications of rotationally controlled van der Waals heterostructures

    … fields, we also observe the emergence of a Hofstadter butterfly in the energy spectrum, with four-fold degenerate Landau levels (LLs), and broken symmetry quantum Hall states at filling factors, ν = ±1, ±2, ±3. We demonstrate dual-gated tungsten diselenide (WSe₂) interlayer tunneling …

    texas Repository record for Electronic properties and device applications of rotationally controlled van der Waals heterostructures (opens in a new tab)

  6. High temperature quantum transport in graphene/hexagonal-boron nitride heterostructures

    … experimental observation of the long sought Hofstadter butterfly, which addresses the electronic dispersion of electrons in a periodic potential and magnetic field. Here, we again go to elevated temperatures, where all the spectral gaps related to Hofstadter butterflies are completely …

    lancaster Repository record for High temperature quantum transport in graphene/hexagonal-boron nitride heterostructures (opens in a new tab)

  7. Hollow condensates, topological ladders and quasiperiodic chains

    … on-site modulation and is equivalent to the Hofstadter problem at its critical point. Generalizations of the AAH modelhave been studied numerically and a generalized self-dual AAH model has been proposed and analytically analyzed by S. Ganeshan, J. Pixley and S. Das Sarma (GPD). For extended …

    uiuc Repository record for Hollow condensates, topological ladders and quasiperiodic chains (opens in a new tab)

  8. Transport And Optical Properties Of Low-Dimensional Complex Systems

    <p>Over the last five years of my research work, I, my research was mainly concerned with certain crucial tunneling, transport and optical properties of novel low-dimensional graphitic and carbon-based materials as well as topological insulators. Both single-electron and many-body problems were …

    cuny-grad Repository record for Transport And Optical Properties Of Low-Dimensional Complex Systems (opens in a new tab)