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  2. Fermi level - Wikipedia

    en.wikipedia.org/wiki/Fermi_level

    The Fermi level does not necessarily correspond to an actual energy level (in an insulator the Fermi level lies in the band gap), nor does it require the existence of a band structure. Nonetheless, the Fermi level is a precisely defined thermodynamic quantity, and differences in Fermi level can be measured simply with a voltmeter.

  3. Electronic band structure - Wikipedia

    en.wikipedia.org/wiki/Electronic_band_structure

    µ is the total chemical potential of electrons, or Fermi level (in semiconductor physics, this quantity is more often denoted E F). The Fermi level of a solid is directly related to the voltage on that solid, as measured with a voltmeter. Conventionally, in band structure plots the Fermi level is taken to be the zero of energy (an arbitrary ...

  4. Fermi energy - Wikipedia

    en.wikipedia.org/wiki/Fermi_energy

    The Fermi energy is only defined at absolute zero, while the Fermi level is defined for any temperature. The Fermi energy is an energy difference (usually corresponding to a kinetic energy), whereas the Fermi level is a total energy level including kinetic energy and potential energy.

  5. Fermi surface - Wikipedia

    en.wikipedia.org/wiki/Fermi_surface

    When a material's Fermi level falls in a bandgap, there is no Fermi surface. Fig. 2: A view of the graphite Fermi surface at the corner H points of the Brillouin zone showing the trigonal symmetry of the electron and hole pockets. Materials with complex crystal structures can have quite intricate Fermi surfaces.

  6. Density of states - Wikipedia

    en.wikipedia.org/wiki/Density_of_states

    is the chemical potential (also denoted as E F and called the Fermi level when T=0), is the Boltzmann constant, and is temperature. Fig. 4 illustrates how the product of the Fermi-Dirac distribution function and the three-dimensional density of states for a semiconductor can give insight to physical properties such as carrier concentration and ...

  7. Topological insulator - Wikipedia

    en.wikipedia.org/wiki/Topological_insulator

    The Fermi level falls within the bulk band gap which is traversed by topologically-protected spin-textured Dirac surface states. [1] [2] A topological insulator is a material whose interior behaves as an electrical insulator while its surface behaves as an electrical conductor, [3] meaning that electrons can only move along the surface of the ...

  8. Dirac cone - Wikipedia

    en.wikipedia.org/wiki/Dirac_cone

    Typical examples include graphene, topological insulators, bismuth antimony thin films and some other novel nanomaterials, [1] [4] [5] in which the electronic energy and momentum have a linear dispersion relation such that the electronic band structure near the Fermi level takes the shape of an upper conical surface for the electrons and a ...

  9. Band diagram - Wikipedia

    en.wikipedia.org/wiki/Band_diagram

    E F or μ: Although it is not a band quantity, the Fermi level (total chemical potential of electrons) is a crucial level in the band diagram. The Fermi level is set by the device's electrodes. For a device at equilibrium, the Fermi level is a constant and thus will be shown in the band diagram as a flat line. Out of equilibrium (e.g., when ...