Topic
Brillouin zone
About: Brillouin zone is a research topic. Over the lifetime, 13849 publications have been published within this topic receiving 383077 citations.
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TL;DR: This work presents the first cull band-structure calculations for periodic, elastic composites and obtains a «phononic» band gap which extends throughout the Brillouin zone.
Abstract: We present the first full band-structure calculations for periodic, elastic composites. For transverse polarization of the vibrations we obtain a ``phononic'' band gap which extends throughout the Brillouin zone. A complete acoustic gap or a low density of states should have important consequences for the suppression of zero-point motion and for the localization of phonons, and may lead to improvements in transducers and in the creation of a vibrationless environment.
2,299 citations
TL;DR: In this paper, a new method of developing an "effective-mass" equation for electrons moving in a perturbed periodic structure is discussed, particularly adapted to such problems as arise in connection with impurity states and cyclotron resonance in semiconductors such as Si and Ge.
Abstract: A new method of developing an "effective-mass" equation for electrons moving in a perturbed periodic structure is discussed. This method is particularly adapted to such problems as arise in connection with impurity states and cyclotron resonance in semiconductors such as Si and Ge. The resulting theory generalizes the usual effective-mass treatment to the case where a band minimum is not at the center of the Brillouin zone, and also to the case where the band is degenerate. The latter is particularly striking, the usual Wannier equation being replaced by a set of coupled differential equations.
2,260 citations
TL;DR: In this article, a quasi-Newton method is used to simultaneously relax the internal coordinates and lattice parameters of crystals under pressure, and the symmetry of the crystal structure is preserved during the relaxation.
2,209 citations
Book•
01 Jan 1963
TL;DR: In this paper, the Hartree-Forck approximation is used to calculate energy bands and Fermi Surfaces for semiconductor crystals. But the results of the energy bands do not cover the entire crystal lattice.
Abstract: Mathematical Introduction. Acoustic Phonons. Plasmons, Optical Phonons, and Polarization Waves. Magnons. Fermion Fields and the Hartree--Forck Approximation. Many--Body Techniques and the Electron Gas. Polarons and the Electron--Phonon Interaction. Superconductivity. Bloch Funcations----General Properties. Brillouin Zones and Crystal Symmetry. Dynamics of Electronics in a Magnetic Field: de Hass--van Alphen Effect and Cyclotron Resonance. Magnetoresistance. Calculation of Energy Bands and Fermi Surfaces. Semiconductor Crystals: I. Energy Bands, Cyclotron Resonance and Impurity States. Semiconductor Crystals: II. Optical Absorption and Excitons. Electrodynamics of Metals. Acoustic Attenuation in Metals. Theory of Alloys. Correlation Functions and Neutron Diffraction by Crystals. Recoilless Emission. Greena s Functions----Application to Solid State Physics. Appendixes.
2,165 citations
TL;DR: In this paper, the authors provide numerical and graphical information about many physical and electronic properties of GaAs that are useful to those engaged in experimental research and development on this material, including properties of the material itself, and the host of effects associated with the presence of specific impurities and defects is excluded from coverage.
Abstract: This review provides numerical and graphical information about many (but by no means all) of the physical and electronic properties of GaAs that are useful to those engaged in experimental research and development on this material. The emphasis is on properties of GaAs itself, and the host of effects associated with the presence of specific impurities and defects is excluded from coverage. The geometry of the sphalerite lattice and of the first Brillouin zone of reciprocal space are used to pave the way for material concerning elastic moduli, speeds of sound, and phonon dispersion curves. A section on thermal properties includes material on the phase diagram and liquidus curve, thermal expansion coefficient as a function of temperature, specific heat and equivalent Debye temperature behavior, and thermal conduction. The discussion of optical properties focusses on dispersion of the dielectric constant from low frequencies [κ0(300)=12.85] through the reststrahlen range to the intrinsic edge, and on the ass...
2,115 citations