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: In this paper, the optical modes of chains of coupled micron sized semiconductor cavities have been studied using photoluminescence spectroscopy and detailed calculations, showing that with an increasing number of cavities, the chains exhibit photon band gaps at several Brillouin zone boundaries.
Abstract: The optical modes of chains of coupled micron sized semiconductor cavities have been studied using photoluminescence spectroscopy and detailed calculations. With an increasing number of cavities, the chains exhibit photon band gaps at several Brillouin zone boundaries. The sizes of the band gaps are shown to depend on the coupling between the microcavities and also on the order of the Brillouin zone involved.
89 citations
TL;DR: The trigonal warping of the dispersion relation around the valleys in the Brillouin zone is effective only for low-energy excitations, and its role cannot be neglected in the zero-energy minimal conductivity of bilayer graphene.
Abstract: Using a reformulated Kubo formula we calculate the zero-energy minimal conductivity of bilayer graphene taking into account the small but finite trigonal warping. We find that the conductivity is independent of the strength of the trigonal warping and it is 3 times as large as that without trigonal warping and 6 times larger than that in single layer graphene. Although the trigonal warping of the dispersion relation around the valleys in the Brillouin zone is effective only for low-energy excitations, our result shows that its role cannot be neglected in the zero-energy minimal conductivity.
89 citations
TL;DR: Using a complex PT -invariant, periodic potential of Kronig-Penny type, the occurrence of the usual energy band structure was shown in this paper, where the Brillouin zone boundaries (BZBs: kL=0,π) may not be reached and along with band gaps rounded double bands may occur near the BZBs.
89 citations
TL;DR: In this article, the Raman spectra of a number of defected graphitic carbonaceous materials have been recorded using a large panel of laser exciting lines ranging from 1064 to 325 nm.
89 citations
TL;DR: In this article, the authors present two schemes to sample the Brillouin zone for ab initio calculations of the Bethe-Salpeter equation (BSE) and the $GW$-BSE.
Abstract: First-principles calculations based on many-electron perturbation theory methods, such as the ab initio $GW$ and $GW$ plus Bethe-Salpeter equation ($GW$-BSE) approach, are reliable ways to predict quasiparticle and optical properties of materials, respectively However, these methods involve more care in treating the electron-electron interaction and are considerably more computationally demanding when applied to systems with reduced dimensionality, since the electronic confinement leads to a slower convergence of sums over the Brillouin zone due to a much more complicated screening environment that manifests in the ``head'' and ``neck'' elements of the dielectric matrix Here we present two schemes to sample the Brillouin zone for $GW$ and $GW$-BSE calculations: the nonuniform neck subsampling method and the clustered sampling interpolation method, which can respectively be used for a family of single-particle problems, such as $GW$ calculations, and for problems involving the scattering of two-particle states, such as when solving the BSE We tested these methods on several few-layer semiconductors and graphene and show that they perform a much more efficient sampling of the Brillouin zone and yield two to three orders of magnitude reduction in the computer time These two methods can be readily incorporated into several ab initio packages that compute electronic and optical properties through the $GW$ and $GW$-BSE approaches
88 citations