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The derivative discontinuity is a key concept in electronic structure theory in general and density functional theory in particular. The electronic energy of a quantum system exhibits derivative discontinuities with respect to different…

Chemical Physics · Physics 2017-09-13 Paula Mori-Sánchez , Aron J. Cohen

We study the conductance of a quantum T-junction coupled to two electron reservoirs and a quantum dot. In the absence of electron-electron interactions, the conductance $g$ is sensitive to interference between trajectories which enter the…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 A. A. Clerk , P. W. Brouwer , V. Ambegaokar

We study the behavior of persistent current of relativistic electrons on a one dimensional ring in presence of attractive/repulsive scattering potentials. In particular, we investigate the persistent current in accordance with the strength…

Mesoscale and Nanoscale Physics · Physics 2015-06-16 Sumit Ghosh , Arijit Saha

The persistent current in two vertically coupled quantum rings containing few electrons is studied. We find that the Coulomb interaction between the rings in the absence of tunneling affects the persistent current in each ring and the…

Mesoscale and Nanoscale Physics · Physics 2008-11-30 L. K. Castelano , G. -Q. Hai , B. Partoens , F. M. Peeters

Ionic conductivity in solid electrolytes is commonly expected to exhibit Arrhenius dependence on temperature, determined by a well-defined activation energy. Consequently, a standard approach involves calculating this energy using…

Mesoscale and Nanoscale Physics · Physics 2024-04-11 Keian Noori , Ben A. Olsen , Aleksandr Rodin

We study a method to determine the residual conductance of a correlated system by means of the ground-state properties of a large ring composed of the system itself and a long non-interacting lead. The transmission probability through the…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Rafael A. Molina , Peter Schmitteckert , Dietmar Weinmann , Rodolfo A. Jalabert , Gert-Ludwig Ingold , Jean-Louis Pichard

Using an effective-field-theory (nonlinear sigma model) description of interacting electrons in a disordered metal ring enclosing magnetic flux, we calculate the moments of the persistent current distribution, in terms of interacting…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 H. J. Bussemaker , T. R. Kirkpatrick

We calculate the corrections to the conductivity and compressibility of a disordered metal when the mean free path is smaller than the screening length. Such a condition is shown to be realized for low densities and large disorder. Analysis…

Strongly Correlated Electrons · Physics 2009-10-31 Qimiao Si , C. M. Varma

The conductance of a disordered finite-size electron system is calculated by reducing the initial dynamic problem of arbitrary dimensionality to strictly one-dimensional problems for one-particle mode propagators. The metallic ground state…

Disordered Systems and Neural Networks · Physics 2007-05-23 Yu. V. Tarasov

We show that electron transport through a long multichannel wire, connected to leads by tunnel junctions, at low temperatures and voltages is dominated by inelastic cotunnelling. This mechanism results in experimentally observed power-law…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 M. V. Feigelman , A. S. Ioselevich

Coulomb interactions that occur in electronic structure calculations are correlated by allowing basis function components of the interacting densities to polarize, thereby reducing the magnitude of the interaction. Exchange integrals of…

Chemical Physics · Physics 2022-05-16 Jerry L. Whitten

Transport and thermodynamic properties of disordered conductors are considerably modified when the angle through which the electron spin precesses due to spin-orbit interaction (SOI) during the mean free time becomes significant. Cooperon…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Yuli Lyanda-Geller

The surprising discovery of high-$T_c$ superconductivity in iron-based compounds has prompted an intensive investigation on the role of interaction and magnetism in the these materials. Based on the general features of multi-bands and…

Superconductivity · Physics 2013-11-27 Yi-Zhuang You , Zheng-Yu Weng

Minimal conductivity of a single undoped graphene layer is known to be of the order of the conductance quantum, independent of the electron velocity. We show that this universality does not survive electron-electron interaction which…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 E. G. Mishchenko

We study the effect of electron-electron (e-e) interactions on compressibility, capacitance and inverse compressibility of electrons in a quantum dot or a small metallic grain. The calculation is performed in the random-phase approximation.…

Mesoscale and Nanoscale Physics · Physics 2009-10-28 R. Berkovits , B. L. Altshuler

By using the measure of concurrence, mode entanglement of an electron moving in four kinds of one-dimensional determined and random potentials is studied numerically. The extended and local- ized states can be distinguished by mode…

Quantum Physics · Physics 2009-11-13 Longyan Gong , Peiqing Tong

Methods for estimating the correlation energy of molecules and other electronic systems are discussed based on the assumption that the correlation energy can be partitioned between atomic regions. In one method, the electron density is…

Chemical Physics · Physics 2022-05-16 Jerry L. Whitten

New results for attenuation and damping of electromagnetic fields in rigid conducting media are derived under the conjugate influence of inertia due to charge carriers and displacement current. Inertial effects are described by a relaxation…

Classical Physics · Physics 2009-03-03 F. E. M. Silveira , J. A. S. Lima

Diffusional dynamics of the donor-acceptor distance in electron-transfer reactions are responsible for the appearance of a new time scale of diffusion over the distance of falloff of electronic tunneling. The distance dynamics compete with…

Biological Physics · Physics 2022-09-21 Dmitry V. Matyushov

It is known that the ionic conductivity can be obtained by using the diffusion constant and the Einstein relation. We derive it here by extracting it from the steady electric current which we calculate in three ways, using statistics…

Statistical Mechanics · Physics 2016-07-26 Yong-Jun Zhang
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