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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: The effective Dirac Hamiltonian is derived and it is shown that the corresponding spinor eigenstates represent Dirac-like massless bosonic excitations that present similar effects to electrons in graphene, such as a nontrivial Berry phase and the absence of backscattering off smooth inhomogeneities.
Abstract: We consider a two-dimensional honeycomb lattice of metallic nanoparticles, each supporting a localized surface plasmon, and study the quantum properties of the collective plasmons resulting from the near-field dipolar interaction between the nanoparticles. We analytically investigate the dispersion, the effective Hamiltonian, and the eigenstates of the collective plasmons for an arbitrary orientation of the individual dipole moments. When the polarization points close to the normal to the plane, the spectrum presents Dirac cones, similar to those present in the electronic band structure of graphene. We derive the effective Dirac Hamiltonian for the collective plasmons and show that the corresponding spinor eigenstates represent Dirac-like massless bosonic excitations that present similar effects to electrons in graphene, such as a nontrivial Berry phase and the absence of backscattering off smooth inhomogeneities. We further discuss how one can manipulate the Dirac points in the Brillouin zone and open a gap in the collective plasmon dispersion by modifying the polarization of the localized surface plasmons, paving the way for a fully tunable plasmonic analogue of graphene.

121 citations

Journal ArticleDOI
TL;DR: The first experimental observation of resonant Brillouin scattering of excitonic polaritons in a semiconductor was reported in this paper, where the incident light energy was scanned through the $n=1$ exciton resonance and allowed a direct measurement of the polariton dispersion curve.
Abstract: We report the first experimental observation of resonant Brillouin scattering of excitonic polaritons in a semiconductor The usual symmetric Brillouin doublet becomes an asymmetric multiplet when the incident light energy is scanned through the $n=1$ exciton resonance and allows a direct measurement of the polariton dispersion curve In GaAs we determine a longitudinal-transverse splitting of 008 \ifmmode\pm\else\textpm\fi{} 002 meV and a translational mass ${M}_{\mathrm{ex}}=(06\ifmmode\pm\else\textpm\fi{}01){m}_{0}$ for the [100] heavy exciton The excitions couple preferentially to LA phonons

121 citations

Journal ArticleDOI
TL;DR: In this paper, a set of wavefunctions which are singly excited with respect to a given multiconfiguration wave function in the sense of the generalized Brillouin theorem are formed and the extended CI problem is solved by variation or perturbation methods.

120 citations

Journal ArticleDOI
TL;DR: In this article, large scale determinant quantum Monte Carlo calculations of the effective bandwidth, momentum distribution, and magnetic correlations of the square lattice fermion Hubbard Hamiltonian at half-filling are presented.
Abstract: We report large scale determinant quantum Monte Carlo calculations of the effective bandwidth, momentum distribution, and magnetic correlations of the square lattice fermion Hubbard Hamiltonian at half-filling. The sharp Fermi surface of the noninteracting limit is significantly broadened by the electronic correlations but retains signatures of the approach to the edges of the first Brillouin zone as the density increases. Finite-size scaling of simulations on large lattices allows us to extract the interaction dependence of the antiferromagnetic order parameter, exhibiting its evolution from weak-coupling to the strong-coupling Heisenberg limit. Our lattices provide improved resolution of the Green’s function in momentum space, allowing a more quantitative comparison with time-of-flight optical lattice experiments.

120 citations

Journal ArticleDOI
TL;DR: In this paper, the dispersion relation for collective modes in patterned arrays through the numerical solution of an eigenvalue problem for an integral operator has been investigated and quantitatively explained by a theoretical model.
Abstract: Magnetization dynamics of dipolarly coupled nanowire arrays has been studied by Brillouin light scattering. Measurements performed in uniformly magnetized wires as a function of the transferred wave vector demonstrated the existence of several discrete collective modes, propagating through the structure with a periodic dispersion curve encompassing several Brillouin zones relative to the artificial spatial periodicity. This experimental evidence has been quantitatively explained by a theoretical model which permits the calculation of the dispersion relation for collective modes in patterned arrays through the numerical solution of an eigenvalue problem for an integral operator.

120 citations


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Performance
Metrics
No. of papers in the topic in previous years
YearPapers
2023430
2022957
2021463
2020543
2019568
2018587