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For a capacitor made of a semiconducting carbon nanotube (CNT) suspended above a metallic gate, Coulomb correlations between individual electrons can lead to a capacitance that is much larger than the geometric capacitance. We argue that…

Strongly Correlated Electrons · Physics 2015-04-22 Han Fu , B. I. Shklovskii , Brian Skinner

It has recently been shown that identical, isotropic particles can form complex crystals and quasicrystals. In order to understand the relation between the particle interaction and the structure, which it stabilizes, the phase behavior of a…

Materials Science · Physics 2009-04-01 Michael Engel , Hans-Rainer Trebin

A two-electron one-dimensional model of a heteroatomic molecule composed of two open-shell atoms is considered. Including only two electrons isolates and examines the effect that the highest occupied molecular orbital has on the Kohn-Sham…

Materials Science · Physics 2010-03-22 David G. Tempel , Todd J. Martinez , Neepa T. Maitra

We investigate the possible binding configurations of pairs of C60 molecules when pushed against each other. Tersoff potential, which represents intramolecular interactions well, has been used to calculate potential energies. We begin…

Materials Science · Physics 2007-05-23 Narinder Kaur , Shuchi Gupta , Keya Dharamvir , V. K. Jindal

A novel Gaussian-Sinc mixed basis set for the calculation of the one-electron electronic structure within a uniform magnetic field in three dimensions is presented. The one-electron system is used to demonstrate the utility of this new…

Computational Physics · Physics 2014-11-12 Jonathan L. Jerke , Young Lee , C. J. Tymczak

Quantum dots (QD) with electric-field-controlled charge state are promising for electronics applications, e.g., digital information storage, single-electron transistors and quantum computing. Inorganic QDs consisting of semiconductor…

Materials Science · Physics 2024-05-30 Dhaneesh Kumar , Cornelius Krull , Yuefeng Yin , Nikhil V. Medhekar , Agustin Schiffrin

The classical dynamics of two electrons in the Coulomb potential of an attractive nucleus is chaotic in large parts of the high-dimensional phase space. Quantum spectra of two-electron atoms, however, exhibit structures which clearly hint…

Chaotic Dynamics · Physics 2009-11-10 Min-Ho Lee , Gregor Tanner , Nark Nyul Choi

A critical study of the wave mechanics of a particle trapped in a 1-D box having infinite potential walls and small flexibility in its size reveals its several important and hither to unknown aspects which could be relevant for better…

Materials Science · Physics 2009-04-03 Yatendra S. Jain

The dynamical response theory is used to obtain an analytical expression for the exchange energy of a quantum wire for arbitrary polarization and width. It reproduces the known form of exchange energy for 1D electron gas in the limit of…

Strongly Correlated Electrons · Physics 2020-02-26 Vinod Ashokan , Renu Bala , Klaus Morawetz , Kare N. Pathak

Quasi-onedimensional stereoregular polymers as for example polyacetylene are currently of considerable interest. There are basically two different approaches for doing electronic structure calculations: One method is essentially based on…

Numerical Analysis · Mathematics 2025-10-20 Ernst Joachim Weniger , Bernard Kirtman

The theorems of density functional theory (DFT) and reduced density matrix functional theory (RDMFT) establish a bijective map between the external potential of a many-body system and its electron density or one-particle reduced density…

Chemical Physics · Physics 2023-02-22 Xuecheng Shao , Lukas Paetow , Mark E. Tuckerman , Michele Pavanello

The formation and evolution of coherent structures in a low-energy electron beam produced in a Malmberg-Penning trap is investigated by means of CCD diagnostics. The electrons are emitted from a thermionic cathode and their energy is…

Entropy alone can self-assemble hard particles into colloidal crystals of remarkable complexity whose structures are the same as atomic and molecular crystals, but with larger lattice spacings. Although particle-based molecular simulation…

Soft Condensed Matter · Physics 2021-07-06 Thi Vo , Sharon C. Glotzer

The properties of hydrogen at warm dense matter (WDM) conditions are of high importance for the understanding of astrophysical objects and technological applications such as inertial confinement fusion. In this work, we present extensive…

Plasma Physics · Physics 2023-06-12 Tobias Dornheim , Maximilian Böhme , Zhandos Moldabekov , Jan Vorberger

An analysis of the structural properties of three-dimensional Coulomb clusters confined in a spherical parabolic trap is presented. Based on extensive high accuracy computer simulations the shell configurations and energies for particle…

Plasma Physics · Physics 2007-07-29 P. Ludwig , S. Kosse , M. Bonitz

Sufficiently high densities in Bose-Einstein condensates provide favorable conditions for the production of ultralong-range polyatomic molecules consisting of one Rydberg atom and a number of neutral ground state atoms. The chemical binding…

Atomic Physics · Physics 2017-05-10 Matthew T Eiles , Jesus Perez-Rios , F Robicheaux , Chris H Greene

We consider a class of systems where, due to the large mismatch of dielectric constants, the Coulomb interaction is approximately one-dimensional. Examples include ion channels in lipid membranes and water filled nanopores in silicon or…

Statistical Mechanics · Physics 2015-06-25 A. Kamenev , J. Zhang , A. I. Larkin , B. I. Shklovskii

Under the genuinely nonlinear assumption for 1-D $n\times n$ strictly hyperbolic conservation laws, we investigate the geometric blowup of smooth solutions and the development of singularities when the small initial data fulfill the generic…

Analysis of PDEs · Mathematics 2025-04-18 Min Ding , Huicheng Yin

We present a theoretical formulation of the one-electron problem constrained on the surface of a cylindrical tubule with varying diameter. Because of the cylindrical symmetry, we may reduce the problem to a one-dimensional equation for each…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Nobuhisa Fujita

We briefly review the physics of electronic phases in low dimensional conductors. We begin by introducing the properties of the one-dimensional electron gas model using bosonization and renormalization group methods.We then tackle the…

Strongly Correlated Electrons · Physics 2007-05-23 C. Bourbonnais