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We derive an exact representation of the exchange-correlation energy within density functional theory (DFT) which spawns a class of approximations leading to correct long-range asymptotic behavior. In what amounts to be the simplest…

材料科学 · 物理学 2009-11-10 Roi Baer , Daniel Neuhauser

We present the exact analytical equation of diffusion-mobility for two-dimensional (2D) Schr\"odinger type transport systems, from molecules to materials. The density of electronic states in such Schr\"odinger systems pertains to the 2D…

统计力学 · 物理学 2019-09-27 K. Navamani

We use fluctuating hydrodynamics to analyze the dynamical properties in the non-equilibrium steady state of a diffusive system coupled with reservoirs. We derive the two-time correlations of the density and of the current in the…

统计力学 · 物理学 2016-11-23 Tridib Sadhu , Bernard Derrida

We introduce a new form of density functional theory for the {\em ab initio} description of electronic systems in contact with a molecular liquid environment. This theory rigorously joins an electron density-functional for the electrons of…

软凝聚态物质 · 物理学 2009-11-11 Sahak Petrosyan , Jean-Francois Briere , David Roundy , T. A. Arias

Understanding the electrical conductivity of warm dense hydrogen is critical for both fundamental physics and applications in planetary science and inertial confinement fusion. We demonstrate how to calculate the electrical conductivity…

材料科学 · 物理学 2025-02-14 Kushal Ramakrishna , Mani Lokamani , Attila Cangi

We study constraints imposed by the Galilean invariance on linear electromagnetic and elastic responses of two-dimensional gapped systems in background magnetic field. Exact relations between response functions following from the Ward…

强关联电子 · 物理学 2015-02-16 Andrey Gromov , Alexander G. Abanov

Surface sensitive electric current measurements are important experimental tools poorly corroborated by theoretical models. We show that the drift-diffusion equations offer a framework for a consistent description of such experiments. The…

介观与纳米尺度物理 · 物理学 2017-06-15 Jakub Lis

The density functional theory is used to study the electronic structure of a quantum wire in a magnetic field. The Kohn-Sham equations are solved numerically for different values of electron densities and filling factors. The critical…

介观与纳米尺度物理 · 物理学 2023-06-16 A. A. Vasilchenko

We analyze the electromagnetic response of a system of charged bosons coupled to a Chern-Simons gauge field. Path integral techniques are used to obtain an effective action for the particle density of the system dressed with quantum…

介观与纳米尺度物理 · 物理学 2009-10-31 D. G. Barci , E. V. Correa Silva , J. F. Medeiros Neto

We study the temporal response of the electric current in an electrolyte under a sudden switch on or switch off of an external electric field of arbitrary magnitude. We use Stochastic Density Functional Theory including hydrodynamic…

统计力学 · 物理学 2023-08-02 Haggai Bonneau , Vincent Démery , Élie Raphaël

The aim of this work is to study the electron transport in graphene with impurities by introducing a generalization of linear response theory for linear dispersion relations and spinor wave functions. Current response and density response…

介观与纳米尺度物理 · 物理学 2014-07-28 Juan Sebastian Ardenghi , Pablo Bechthold , Paula Jasen , Estela Gonzalez , Alfredo Juan

Employing recent advances in response theory and nonequilibrium ensemble reweighting, we study the dynamic and static correlations that give rise to an electric field-dependent ionic conductivity in electrolyte solutions. We consider…

软凝聚态物质 · 物理学 2021-07-28 Dominika Lesnicki , Chloe Y. Gao , David T. Limmer , Benjamin Rotenberg

Using non-equilibrium Green's functions combined with many-body perturbation theory, we have calculated steady-state densities and currents through short interacting chains subject to a finite electric bias. By using a steady-state…

介观与纳米尺度物理 · 物理学 2016-04-18 Daniel Karlsson , Claudio Verdozzi

We demonstrate that the Einstein relation for the diffusion of a particle in the random energy landscape with the Gaussian density of states is an exclusive 1D property and does not hold in higher dimensions. We also consider the analytical…

无序系统与神经网络 · 物理学 2020-02-21 S. V. Novikov

Particle-particle correlation functions in ionic systems control many of their macroscopic properties. In this work, we use stochastic density functional theory to compute these correlations, and then we analyze their long-range behavior.…

统计力学 · 物理学 2025-02-05 Haggai Bonneau , Vincent Démery , Elie Raphaël

We investigate chains of interacting spinless fermions subject to a finite external field $F$ (also called Stark chains) and focus on the regime where the charge thermalization follows the subdiffusive hydrodynamics. First, we study reduced…

强关联电子 · 物理学 2025-01-09 Peter Prelovšek , Sourav Nandy , Marcin Mierzejewski

The linear response description for impurity diffusion in a granular fluid undergoing homogeneous cooling is developed in the preceeding paper. The formally exact Einstein and Green-Kubo expressions for the self-diffusion coefficient are…

软凝聚态物质 · 物理学 2009-11-07 James Lutsko , J. Javier Brey , James W. Dufty

We consider free electrons in rectangular quantum dots, with either hard wall boundary conditions or anharmonic confinement. In both cases, due to finite size effects, a homogeneous electric field applied along one of the rectangular axis…

介观与纳米尺度物理 · 物理学 2007-05-23 Stephane Pleutin

The capability of density-functional theory to deal with the ground-state of strongly correlated low-dimensional systems, such as semiconductor quantum dots, depends on the accuracy of functionals developed for the exchange and correlation…

强关联电子 · 物理学 2009-02-25 S. Pittalis , E. Rasanen , C. Proetto , E. K. U. Gross

We consider a current-carrying, phase-coherent multi-probe conductor to which a small tunneling contact is attached. We treat the conductor and the tunneling contact as a phase-coherent entity and use a Green's function formulation of the…

介观与纳米尺度物理 · 物理学 2009-10-31 Thomas Gramespacher , Markus Buttiker