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  2. Topological insulator - Wikipedia

    en.wikipedia.org/wiki/Topological_insulator

    A topological insulator is an insulator for the same reason a "trivial" (ordinary) insulator is: there exists an energy gap between the valence and conduction bands of the material. But in a topological insulator, these bands are, in an informal sense, "twisted", relative to a trivial insulator. [4]

  3. Periodic table of topological insulators and topological ...

    en.wikipedia.org/wiki/Periodic_table_of...

    It indicates the mathematical group for the topological invariant of the topological insulators and topological superconductors, given a dimension and discrete symmetry class. [1] The ten possible discrete symmetry families are classified according to three main symmetries: particle-hole symmetry , time-reversal symmetry and chiral symmetry .

  4. Quantum spin Hall effect - Wikipedia

    en.wikipedia.org/wiki/Quantum_spin_Hall_effect

    Two-dimensional topological insulators (also known as the quantum spin Hall insulators) with one-dimensional helical edge states were predicted in 2006 by Bernevig, Hughes and Zhang to occur in quantum wells (very thin layers) of mercury telluride sandwiched between cadmium telluride, [7] and were observed in 2007.

  5. Dirac cone - Wikipedia

    en.wikipedia.org/wiki/Dirac_cone

    In physics, Dirac cones are features that occur in some electronic band structures that describe unusual electron transport properties of materials like graphene and topological insulators. [1] [2] [3] In these materials, at energies near the Fermi level, the valence band and conduction band take the shape of the upper and lower halves of a ...

  6. Hubbard model - Wikipedia

    en.wikipedia.org/wiki/Hubbard_model

    Stacks of heterogeneous 2-dimensional transition metal dichalcogenides (TMD) have been used to simulate geometries in more than one dimension. Tungsten diselenide and tungsten sulfide were stacked. This created a moiré superlattice consisting of hexagonal supercells (repetition units defined by the relationship of the two materials).

  7. Charles L. Kane - Wikipedia

    en.wikipedia.org/wiki/Charles_L._Kane

    Kane is notable for theoretically predicting the quantum spin Hall effect (originally in graphene) and what would later be known as topological insulators. [1] [2] He received the 2012 Dirac Prize, along with Shoucheng Zhang and Duncan Haldane, for their groundbreaking work on two- and three-dimensional topological insulators.