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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. List of states of matter - Wikipedia

    en.wikipedia.org/wiki/List_of_states_of_matter

    Chain-melted state: Metals, such as potassium, at high temperature and pressure, present properties of both a solid and liquid. Wigner crystal: a crystalline phase of low-density electrons. Hexatic state, a state of matter that is between the solid and the isotropic liquid phases in two dimensional systems of particles. Ferroics

  5. 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.

  6. 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 ...

  7. 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.

  8. Hubbard model - Wikipedia

    en.wikipedia.org/wiki/Hubbard_model

    One electron/cell behaves like hydrogen, two/cell like helium, etc. As of 2022, supercells with up to eight electrons could be simulated. One result of the simulation showed that the difference between metal and insulator is a continuous function of the electric field strength. [2]

  9. Mott insulator - Wikipedia

    en.wikipedia.org/wiki/Mott_insulator

    In general, Mott insulators occur when the repulsive Coulomb potential U is large enough to create an energy gap. One of the simplest theories of Mott insulators is the 1963 Hubbard model. The crossover from a metal to a Mott insulator as U is increased, can be predicted within the so-called dynamical mean field theory.