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  2. Direct and indirect band gaps - Wikipedia

    en.wikipedia.org/wiki/Direct_and_indirect_band_gaps

    In semiconductors, the band gap of a semiconductor can be of two basic types, a direct band gap or an indirect band gap. The minimal-energy state in the conduction band and the maximal-energy state in the valence band are each characterized by a certain crystal momentum (k-vector) in the Brillouin zone. If the k-vectors are different, the ...

  3. Electronic band structure - Wikipedia

    en.wikipedia.org/wiki/Electronic_band_structure

    Energy band gaps can be classified using the wavevectors of the states surrounding the band gap: Direct band gap: the lowest-energy state above the band gap has the same k as the highest-energy state beneath the band gap. Indirect band gap: the closest states above and beneath the band gap do not have the same k value.

  4. Band gap - Wikipedia

    en.wikipedia.org/wiki/Band_gap

    In solid-state physics and solid-state chemistry, a band gap, also called a bandgap or energy gap, is an energy range in a solid where no electronic states exist. In graphs of the electronic band structure of solids, the band gap refers to the energy difference (often expressed in electronvolts ) between the top of the valence band and the ...

  5. Franz–Keldysh effect - Wikipedia

    en.wikipedia.org/wiki/Franz–Keldysh_effect

    As originally conceived, the Franz–Keldysh effect is the result of wavefunctions "leaking" into the band gap. When an electric field is applied, the electron and hole wavefunctions become Airy functions rather than plane waves. The Airy function includes a "tail" which extends into the classically forbidden band gap.

  6. Carrier generation and recombination - Wikipedia

    en.wikipedia.org/wiki/Carrier_generation_and...

    In undoped semiconductors the Fermi level lies in the middle of a forbidden band or band gap between two allowed bands called the valence band and the conduction band. The valence band, immediately below the forbidden band, is normally very nearly completely occupied. The conduction band, above the Fermi level, is normally nearly completely empty.

  7. BCS theory - Wikipedia

    en.wikipedia.org/wiki/BCS_theory

    Evidence of a band gap at the Fermi level (described as "a key piece in the puzzle") the existence of a critical temperature and critical magnetic field implied a band gap, and suggested a phase transition, but single electrons are forbidden from condensing to the same energy level by the Pauli exclusion principle. The site comments that "a ...

  8. Energy gap - Wikipedia

    en.wikipedia.org/wiki/Energy_gap

    In solid-state physics, an energy gap or band gap is an energy range in a solid where no electron states exist, i.e. an energy range where the density of states vanishes. Especially in condensed matter physics , an energy gap is often known more abstractly as a spectral gap , a term which need not be specific to electrons or solids.

  9. Mesoscopic physics - Wikipedia

    en.wikipedia.org/wiki/Mesoscopic_physics

    Electrons exist at different energy levels or bands. In bulk materials these energy levels are described as continuous because the difference in energy is negligible. As electrons stabilize at various energy levels, most vibrate in valence bands below a forbidden energy level, named the band gap. This region is an energy range in which no ...