Electronic structure and polarizability of quantum metallic wires

Performance of Nonlocal Optics When Applied to Plasmonic Nanostructures

“…We have chosen a radius R = 2 nm, which is large enough to accommodate collective excitations. It must be noted that the application of the HDA to narrower structures makes no sense since single electron–hole optical transitions cannot merge into well-defined plasmon peaks . For sodium we have that n̅ = 25.173 nm –3 and ω P = 5.891 eV, whereas β = 0.31 × 10 6 m/s (note that the customary value of the β-velocity, (3/5) 1/2 v F , is equal to 0.82 × 10 6 m/s).…”

“…It must be noted that the application of the HDA to narrower structures makes no sense since single electron-hole optical transitions cannot merge into well-defined plasmon peaks. 35 For sodium we have thatn = 25.173 nm −3 and ω P = 5.891 eV, whereas β = 0.31 × 10 6 m/s (note that the customary value of the β -velocity, 3/5v F , is equal to 0.82 × 10 6 m/s). Finally, since damping processes in this system are mainly due to the scattering of moving electrons by the barrier potential at the cylinder surface, γ must be of the order of hv F /R ∼ 0.3 eV.…”

Morphological work function dependence of rare-earth disilicide metal nanostructures

“…The variation of the work function with film thickness diminishes and approaches the bulk value as the film thickness approaches about four times the Fermi wavelength [7,22]. In another self-consistent DFT calculation using the jellium model, the work function of metal NWs was also predicted to fluctuate while in this geometry the value asymptotically increases to approach the bulk metal work function as the radius of the NWs increases [6]. By comparing these theoretical studies to our experimental data, the observation that DySi 2−x NWs have a lower work function than DySi 2−x NIs can be attributed to electron motion confinement along the NW thickness since this dimension is comparable to the Fermi wavelength.…”

“…Several theoretical calculations have predicted electronic properties of low dimensional metallic systems. For example, Smogunov et al utilized a jellium model in the framework of density-functional theory (DFT) for metal NWs and found that the electron potential exhibited Friedel oscillations and the work function asymptotically increased to approach the bulk metal work function as the radius of NWs increased [6]. Other selfconsistent DFT calculations have predicted oscillations of the work function with film thickness for thin metal films on the order of a few crystalline layers [7].…”

Effect of dielectric confinement on energetics of quantum metal films

“…There are different methods, which enable one to calculate electron structure of slabs consisting of few monoatomic layers. Let us combine them into three groups according to the complexity of computations: I -the Sommerfeld electrons in-a-box model (analytical calculations, slabs and wires) [10][11][12][13][14][15]; II -self-consistent calculations within various versions of jellium model (slabs and wires) [16][17][18][19][20]; IIIab initio calculations (slabs) [21][22][23][24]. The obtained results are illustrated in figure 1 for all these three groups.…”