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  2. Topological insulator - Wikipedia

    en.wikipedia.org/wiki/Topological_insulator

    [38] [39] The surface states of a 3D topological insulator is a new type of two-dimensional electron gas (2DEG) where the electron's spin is locked to its linear momentum. [31] Fully bulk-insulating or intrinsic 3D topological insulator states exist in Bi-based materials as demonstrated in surface transport measurements. [40]

  3. Dirac matter - Wikipedia

    en.wikipedia.org/wiki/Dirac_matter

    A topological insulator is a material that behaves as an insulator in its interior (bulk) but whose surface contains conducting states. This property represents a non-trivial, symmetry protected topological order. As a consequence, electrons in topological insulators can only move along the surface of the material.

  4. 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 ...

  5. 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 .

  6. Hubbard model - Wikipedia

    en.wikipedia.org/wiki/Hubbard_model

    The physics of the Hubbard model is determined by competition between the strength of the hopping integral, which characterizes the system's kinetic energy, and the strength of the interaction term. The Hubbard model can therefore explain the transition from metal to insulator in certain interacting systems.

  7. Topological order - Wikipedia

    en.wikipedia.org/wiki/Topological_order

    In physics, topological order [1] is a kind of order in the zero-temperature phase of matter (also known as quantum matter). Macroscopically, topological order is defined and described by robust ground state degeneracy [2] and quantized non-abelian geometric phases of degenerate ground states. [1]

  8. Biden takes departing jab at Trump, says he was a 'genuine ...

    www.aol.com/news/biden-takes-departing-jab-trump...

    President Biden took a departing jab at Trump, saying that what the president-elect did was a "genuine threat to democracy.". Ahead of the anniversary of the Jan. 6, 2021, riot at the U.S. Capitol ...

  9. 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.