Density dependence of the electronic supershells in the homogeneous jellium model

Koch, Erik; Gunnarsson, O.

doi:10.1103/physrevb.54.5168

Cited by 24 publications

(17 citation statements)

References 36 publications

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“…They found the same interference effects as had Balian and Bloch. Their results were finally confirmed by self-consistent calculations within the spherical jellium model [9][10][11] .…”

Section: Introductionsupporting

confidence: 70%

Semiclassical description of large multipole-deformed metal clusters

Meier

Brack

Creagh

1997

Z Phys D - Atoms, Molecules and Clusters

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We use the semiclassical periodic orbit theory to describe large metal clusters with axial quadrupole, octupole, or hexadecapole deformations. The clusters are regarded as cavities with ideally reflecting walls. We start from the case of spherical symmetry and then apply a perturbative approach for calculating the oscillating part of the level density in the deformed case. The advantage of this approach is that one only has to know the periodic orbits of the spherical cavity, which makes the calculation very simple. This perturbative method is a priori restricted to small deformations. However, the results agree quite well with those of quantum-mechanical calculations for deformations that are not too large, such as typically occur for the ground states of metal clusters. We also calculate shell-correction energies. With this, it becomes possible to predict at least qualitatively the deformation energy of metal clusters.

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“…They found the same interference effects as had Balian and Bloch. Their results were finally confirmed by self-consistent calculations within the spherical jellium model [9][10][11] .…”

Section: Introductionsupporting

confidence: 70%

Semiclassical description of large multipole-deformed metal clusters

Meier

Brack

Creagh

1997

Z Phys D - Atoms, Molecules and Clusters

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“…where P s (r, r ′ ) is polarization operator for noninteracting sp-electrons, V ′ x [n(r ′ )] is the (functional) derivative of exchange-correlation potential, 59 n(r) being the groundstate electron density; P s (r, r ′ ) and n(r) are calculated in a standard way using Kohn-Sham equations. 49 The system is closed by expressing φ(r) in Eq. (10) via δn s (r).…”

Section: Quantum Three-region Model For Noble Metal Nanoparticlementioning

confidence: 99%

Fluorescence quenching near small metal nanoparticles

Pustovit¹,

Shahbazyan²

2012

The Journal of Chemical Physics

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We develop a microscopic model for fluorescence of a molecule (or semiconductor quantum dot) near a small metal nanoparticle. When a molecule is situated close to metal surface, its fluorescence is quenched due to energy transfer to the metal. We perform quantum-mechanical calculations of energy transfer rates for nanometer-sized Au nanoparticles and find that nonlocal and quantum-size effects significantly enhance dissipation in metal as compared to those predicted by semiclassical electromagnetic models. However, the dependence of transfer rates on molecule's distance to metal nanoparticle surface, d, is significantly weaker than the d(-4) behavior for flat metal surface with a sharp boundary predicted by previous calculations within random phase approximation.

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“…We start from the observation that the surface width a of the cluster potential is an important parameter determining the supershell structure. 15 The basic idea is then to expand the action integrals entering the POE around the analytically known results for a potential well. It turns out that the actions can be very well approximated by linear functions in the surface parameter a/R 0 , where R 0 is the radius of the cluster.…”

Section: Introductionmentioning

confidence: 99%

Periodic orbit theory for realistic cluster potentials

Koch

1998

Phys. Rev. B

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The formation of supershells observed in large metal clusters can be qualitatively understood from a periodic-orbit-expansion for a spherical cavity. To describe the changes in the supershell structure for different materials, one has, however, to go beyond that simple model. We show how periodic-orbit-expansions for realistic cluster potentials can be derived by expanding only the classical radial action around the limiting case of a spherical potential well. We give analytical results for the leptodermous expansion of Woods-Saxon potentials and show that it describes the shift of the supershells as the surface of a cluster potential gets softer. As a byproduct of our work, we find that the electronic shell and supershell structure is not affected by a lattice contraction, which might be present in small clusters. 71.24.+q, 31.15.Gy

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Density dependence of the electronic supershells in the homogeneous jellium model

Cited by 24 publications

References 36 publications

Semiclassical description of large multipole-deformed metal clusters

Semiclassical description of large multipole-deformed metal clusters

Fluorescence quenching near small metal nanoparticles

Periodic orbit theory for realistic cluster potentials

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