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Showing 1 to 3 of 3 for “"higher-order topological insulator"”.

  1. Geometry and Topology of Quantum States in Quasicrystalline Systems

    In this thesis we explore how geometrical and topological ideas from band theory can be extended to quasicrystalline systems. We start by studying a model of a shallow quasicrystalline optical lattice. Here we show that due to a natural hierarchy in the spectrum, an external force can be chosen …

    cambridge Repository record for Geometry and Topology of Quantum States in Quasicrystalline Systems (opens in a new tab)

  2. Higher-order topological phases with crystalline symmetries

    Topological insulators (TIs) that are insulating in the bulk but conducting at surfaces have been thoroughly studied for decades. Recently, a new class of TIs, dubbed the higher-order topological insulator (HOTI), has been discovered. Unlike conventional TIs, it is gapped at the boundaries but host …

    uiuc Repository record for Higher-order topological phases with crystalline symmetries (opens in a new tab)

  3. Higher-order crystalline topology in resonator circuits

    … is deformed. These fixed properties, known as topological invariants, are robust to any deformation of the material as long as it preserves both the energy gap and relevant symmetries. The discovery of materials hosting such invariants, known as topological insulators, was awarded the 2016 …

    uiuc Repository record for Higher-order crystalline topology in resonator circuits (opens in a new tab)