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The electronic properties of one-dimensional clusters of N atoms or molecules have been studied. The model used is similar to the Kronig-Penney model with the potential offered by each ion being approximated by an attractive delta function.…

Other Condensed Matter · Physics 2015-06-25 S N Behera , S Gayen , G V Ravi Prasad , S M Bose

A novel effect of a wave packet scattering off an attractive one- dimensional well is found numerically and analytically. For a wave packet narrower than the width of the well, the scattering proceeds through a quasi-bound state of almost…

Quantum Physics · Physics 2009-10-31 G. Kälbermann

We study the relationship between the shape of the electronic band structure and the thermoelectric properties. In order to study the band shape dependence of the thermoelectric properties generally, we first adopt models with band…

Materials Science · Physics 2017-05-17 Hidetomo Usui , Kazuhiko Kuroki

Two rectangular models described by the one-dimensional Schroedinger equation with sharply localized potentials are suggested. The potentials have a multi-layer thin structure being composed from adjacent barriers and wells. Their peculiar…

Quantum Physics · Physics 2015-06-15 A. V. Zolotaryuk

Group I elements - alkali metals Li, Na, K, Rb and Cs - are examples of simple metals with one s electron in the valence band. Under pressure these elements display unusually complex structural behaviour transforming from close-packed to…

Materials Science · Physics 2017-05-09 Valentina F. Degtyareva

We introduce the idea that the electronic band structure of a charge density wave system may mimic the electronic structure of graphene. In that case a class of materials quite different from graphene might be opened up to exploit…

Mesoscale and Nanoscale Physics · Physics 2017-11-22 John M. Vail , Oscar J. Hernandez , Ming-Su Si , Zhoufei Wang

In this note a one-dimensional band model is proposed based on a periodic Dirac comb having an identical mass distribution $m(x)$ . in each unit cell. The mass function is represented as a Hermitian, non-local separable operator. Two…

Other Condensed Matter · Physics 2020-04-22 M. L. Glasser

Based on a symmetry argument we systematically reveal Hartree-Fock broken-symmetry solutions of the one-dimensional two-band extended Peierls-Hubbard model, which covers various materials of interest such as halogen-bridged metal complexes…

Strongly Correlated Electrons · Physics 2009-10-31 Shoji Yamamoto

A novel type of one-dimensional (1D) photonic crystal formed by the array of periodically located stacks of alternating graphene and dielectric stripes embedded into a background dielectric medium is proposed. The wave equation for the…

Mesoscale and Nanoscale Physics · Physics 2015-05-30 Oleg L. Berman , Roman Ya. Kezerashvili

The fundamental fact is revealed that in the old good quantum mechanics there is possible such unexpected inversion: potential barriers can drag in wave-particles and wells can push them off.

Quantum Physics · Physics 2008-05-07 B. N. Zakhariev

We investigate the formation of resonances in the P33 partial wave with the emphasis on possible emergence of dynamically generated quasi-bound states as a consequence of a strong $p$-wave pion attractive interaction in this partial wave,…

High Energy Physics - Phenomenology · Physics 2019-09-25 B. Golli , H. Osmanović , S. Širca

We analyze the energy band structure of a two-dimensional electron gas in a periodic magnetic field of a longitudinal antiferromagnet by considering a simple exactly solvable model. Two types of states appear: with a finite and…

Condensed Matter · Physics 2009-10-28 Andrey Krakovsky

A model to describe electronic correlations in energy bands is considered. The model is a generalization of the conventional Hubbard model that allows for the fact that the wavefunction for two electrons occupying the same Wannier orbital…

Strongly Correlated Electrons · Physics 2009-11-07 J. E. Hirsch

We identify different types of the photonic band gaps (PBGs) of two dimensional magnetic photonic crystals (MPCs) consisting of arrays of magnetic cylinders and study the different tunability (by an external static magnetic field) of these…

Optics · Physics 2009-11-13 Shiyang Liu , Junjie Du , Zhifang Lin , Ruixin Wu , S. T. Chui

The atomic and electronic structure of the p-type transparent amorphous semiconductor CuI is calculated by ab-initio molecular dynamics. It is found to consist of a random tetrahedrally bonded network. The hole effective mass is found to be…

Materials Science · Physics 2020-05-05 Zhaofu Zhang , Yuzheng Guo , John Robertson

We study the effects of random positional disorder in the transmission of waves in a 1D Kronig-Penny model. For weak disorder we derive an analytical expression for the localization length and relate it to the transmission coefficient for…

Disordered Systems and Neural Networks · Physics 2010-06-07 G. A. Luna-Acosta , F. M. Izrailev , N. M. Makarov , U. Kuhl , H. -J. Stoeckmann

We present an ab initio study of the electronic stopping power of protons in copper over a wide range of proton velocities $v = 0.02-10~\mathrm{a.u.}$ where we take into account non-linear effects. Time-dependent density functional theory…

Materials Science · Physics 2016-10-12 Edwin E. Quashie , Bidhan C. Saha , Alfredo A. Correa

The delta function potential is a simple model of zero-range contact interaction in one dimension. The Kronig-Penney model is a one-dimensional periodic array of delta functions that models the energy bands in a crystal. Here we investigate…

Quantum Physics · Physics 2019-01-16 Foster Thompson , Katherine Jones-Smith , Harsh Mathur , Kristin McKee

We consider an electron-phonon system in two and three dimensions on square, hexagonal and cubic lattices. The model is a modification of the standard Holstein model where the optical branch is appropriately curved in order to have a…

Statistical Mechanics · Physics 2009-10-31 N. Macris , C. -A. Piguet

Using dynamical-mean-field theory, we investigate the electronic properties of quantum wells consisting of a $t^1_{2g}$-electron system with strong correlations. The special focus is on the subband structure of such quantum wells. The…

Strongly Correlated Electrons · Physics 2015-05-30 Satoshi Okamoto