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Related papers: Semi-infinite jellium: Step potential model

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General expression for the thermodynamic potential of the model of semi-infinite jellium is obtained. By using this expression, the surface energy for infinite barrier model is calculated. The behavior of the surface energy and of chemical…

Statistical Mechanics · Physics 2015-09-30 P. P. Kostrobij , B. M. Markovych

Although free electron models have been established in order to capture the essential physics of interfacial and bulk properties in metals, some issues still remain regarding the application of free electron models to thin metal films. One…

Materials Science · Physics 2018-11-22 Kazuhiko Seki

We report extensive self-consistent calculations of jellium surface energies, by going beyond the local-density approximation. The density-response function of a bounded free-electron gas is evaluated within the random-phase approximation,…

Materials Science · Physics 2009-10-31 J. M. Pitarke , A. G. Eguiluz

The position-dependent exact-exchange energy per particle $\varepsilon_x(z)$ (defined as the interaction between a given electron at $z$ and its exact-exchange hole) at metal surfaces is investigated, by using either jellium slabs or the…

Other Condensed Matter · Physics 2015-05-14 C. M. Horowitz , L. A. Constantin , C. R. Proetto , J. M. Pitarke

We present semi-classical and quantized hydrodynamic models to obtain the quadratic electronic response of a plane-bounded electron gas. Explicit expressions for the dynamic image potential experienced by charged particles moving near a…

Materials Science · Physics 2009-10-31 A. Bergara , J. M. Pitarke , R. H. Ritchie

We examine first-order perturbative results based on jellium for the surface energy of slabs of simple metals, using various local pseudopotentials (Ashcroft, Heine-Abarenkov and evanescent core). The difference between the pseudopotential…

Materials Science · Physics 2009-10-31 C. Fiolhais , C. Henriques , I. Sarria , J. M. Pitarke

We consider a quantum particle in a waveguide which consists of an infinite straight Dirichlet strip divided by a thin semitransparent barrier on a line parallel to the walls which is modeled by a $\delta$ potential. We show that if the…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 P. Exner , D. Krejcirik

We modify the "floating crystal" trial state for the classical Homogeneous Electron Gas (also known as Jellium), in order to suppress the boundary charge fluctuations that are known to lead to a macroscopic increase of the energy. The…

Strongly Correlated Electrons · Physics 2019-07-31 Mathieu Lewin , Elliott H. Lieb , Robert Seiringer

The effective potential of electron--electron interaction and the two-particle \textquotedblleft density--density\textquotedblright\ correlation function have been calculated for a simple semiinfinite metal making allowance for the…

Mesoscale and Nanoscale Physics · Physics 2015-03-29 B. M. Markovych , I. M. Zadvorniak

This study presents a comprehensive and innovative exploration of how the surface potential energy landscape influences meander formation. Using the Vicinal Cellular Automaton model, which distinguishes surface diffusion from adatom…

Mesoscale and Nanoscale Physics · Physics 2025-04-04 Marta A. Chabowska , Hristina Popova , Magdalena A. Załuska-Kotur

We investigate the tunneling of the quasiparticles arising in multi-Weyl semimetals through a barrier consisting of both electrostatic and vector potentials, existing uniformly in a finite region along the transmission axis. The dispersion…

Mesoscale and Nanoscale Physics · Physics 2021-03-31 Ipsita Mandal , Aritra Sen

The effect of external strain on surface properties of simple metals is considered within the modified stabilized jellium model. The equations for the stabilization energy of the deformed Wigner-Seitz cells are derived as a function of the…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 V. V. Pogosov , V. P. Kurbatsky

We find that generic boundary conditions of Weyl semimetal is dictated by only a single real parameter, in the continuum limit. We determine how the energy dispersions (the Fermi arcs) and the wave functions of edge states depend on this…

Mesoscale and Nanoscale Physics · Physics 2017-02-03 Koji Hashimoto , Taro Kimura , Xi Wu

We investigate the confined states and transport of three-dimensional Weyl electrons around a one-dimensional external rectangular electrostatic potential. Confined states with finite transverse wave vector exist at energies higher than the…

Mesoscale and Nanoscale Physics · Physics 2016-09-30 Wen-Long You , Xue-Feng Wang , Andrzej M. Oleś , Jiao-Jiao Zhou

Electrical properties of metal-semiconductor (M/SC) and metal/oxide/SC structures built with Zr or ZrO\_2 deposited on oxygen-terminated surfaces of (001)-oriented diamond films, comprising a stack of lightly p-doped diamond on a heavily…

The energetics of transition and noble metal (Rh, Pd, Cu) vicinal surfaces, i.e., surface energy, step energy, kink energy and electronic interactions between steps, is studied at 0K from electronic structure calculations in the…

Materials Science · Physics 2009-11-10 Cyrille Barreteau , Faical Raouafi , Marie-Catherine Desjonqueres , Daniel Spanjaard

According to the mean-field glass theory, the (free) energy landscape of disordered systems is hierarchical and ultrametric if they belong to the full-replica-symmetry-breaking universality class. However, examining this theoretical picture…

Soft Condensed Matter · Physics 2025-12-23 Shuonan Wu , Yuchen Xie , Deng Pan , Lei Zhang , Yuliang Jin

A semiclassical approach for calculating shell effects, that has been used in atomic and plasma physics, is applied to describe the electronic supershells in metal clusters. Using the spherical jellium model we give the analytical…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 G. V. Shpatakovskaya

We analyze the surface energy and boundary layers for a chain of atoms at low temperature for an interaction potential of Lennard-Jones type. The pressure (stress) is assumed small but positive and bounded away from zero, while the…

Probability · Mathematics 2021-01-22 Sabine Jansen , Wolfgang König , Bernd Schmidt , Florian Theil

The properties of energy levels in a family of classically pseudointegrable systems, the barrier billiards, are investigated. An extensive numerical study of nearest-neighbor spacing distributions, next-to-nearest spacing distributions,…

Chaotic Dynamics · Physics 2009-11-07 Jan Wiersig
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