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Constant potential method molecular dynamics simulation (CPM MD) enables the accurate modelling of atomistic electrode charges when studying the electrode-electrolyte interface at the nanoscale. Here we extend the theoretical framework of…

Materials Science · Physics 2023-05-26 Shern Ren Tee , Debra J. Searles

The electrical conductivity in dense plasmas can be calculated with the relaxation-time approximation provided that the interaction potential between the scattering electron and the ion is known. To date there has been considerable…

Plasma Physics · Physics 2017-10-25 C. E. Starrett

We develop a detailed analysis of electron transport in normal diffusive conductors in the presence of proximity induced superconducting correlation. We calculated the linear conductance of the system and the profile of the electric field.…

Condensed Matter · Physics 2007-05-23 A. A. Golubov , F. Wilhelm , A. D. Zaikin

Using the self-consistent Born approximation to the Dirac fermions under finite-range impurity scatterings, we show that the current-current correlation function is determined by four-coupled integral equations. This is very different from…

Strongly Correlated Electrons · Physics 2008-06-10 Xin-Zhong Yan , Yousef Romiah , C. S. Ting

We proposed in an earlier paper [arXiv:1108.6141] an empirical formula of the electrical conductivity which agrees with experiments within 20 percent for the most of pure elemental metals at room temperature ranges. This is obtained, in…

Statistical Mechanics · Physics 2011-09-28 Tadashi Hirayama

We introduce a new quantum transport formalism based on a map of a real 3-dimensional lead-conductor-lead system into an effective 1-dimensional system. The resulting effective 1D theory is an in principle exact formalism to calculate the…

Other Condensed Matter · Physics 2013-05-29 Pierre Darancet , Valerio Olevano , Didier Mayou

The conductance resulting from resonant tunneling through a droplet of $N \sim 30$ electrons is used to measure its chemical potential $\mu_N$. Abrupt shifts of $\mu_N$ occur at sharply defined values of the magnetic field, at which the…

Condensed Matter · Physics 2007-05-23 O. Klein , C. de C. Chamon , D. Tang , D. M. Abusch-Magder , X. -G. Wen , M. A. Kastner , S. J. Wind

In strictly one-dimensional systems, repulsive interactions tend to reduce particle mobility on a lattice. Therefore, the Drude weight, controlling the divergence at zero-frequency of optical conductivities in perfect conductors, is lower…

Quantum Gases · Physics 2020-04-29 Andreas Haller , Matteo Rizzi , Michele Filippone

The linear conductance of the single electron transistor is determined in the high temperature limit. Electron tunneling is treated nonperturbatively by means of a path integral formulation and the conductance is obtained from Kubo's…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Georg Goeppert , Hermann Grabert

We show that by integrating out the electric field and incorporating proper boundary conditions, a semiclassical Boltzmann equation can describe electron transport properties, continuously from the diffusive to ballistic regimes. General…

Mesoscale and Nanoscale Physics · Physics 2016-08-25 H. Geng , W. Y. Deng , Y. J. Ren , L. Sheng , D. Y. Xing

We study the current-voltage characteristics of a superconducting junction with particle losses at the contacts. We adopt the Keldysh formalism to compute the steady-state current for varying transmission of the contact. In the low…

This pre-print deals with the one dimensional Hubbard model, as described by the Pseudofermion Dynamical Theory (PDT), with the purpose of (1) deriving a novel expression for the one electron spectral function for all values of the on-site…

Strongly Correlated Electrons · Physics 2023-11-30 D. Bozi

We consider low energy charge transport in one-dimensional (1d) electron systems with short range interactions under the influence of a random potential. Combining RG and instanton methods, we calculate the nonlinear ac conductivity and…

Mesoscale and Nanoscale Physics · Physics 2013-05-29 Bernd Rosenow , Thomas Nattermann

The purpose of this paper is to set out optimal gradient estimates for solutions to the isotropic conductivity problem in the presence of adjacent conductivity inclusions as the distance between the inclusions goes to zero and their…

Analysis of PDEs · Mathematics 2007-05-23 H. Ammari , H. Kang , H. Lee , J. Lee , M. Lim

The theory of dynamic conductivity of nanosystem is developed within the model of rectangular potentials and different effective masses of electron in open three-barrier resonance-tunnel structure in a constant homogeneous electric field.…

Mesoscale and Nanoscale Physics · Physics 2011-06-23 Ju. Seti , M. Tkach , O. Voitsekhivska

Superconduction manifests when a steady-state current flows through a material without an electric field being present. It is argued here that the absence of scattering of the charge-carriers, although absolutely necessary, is not…

General Physics · Physics 2007-05-23 Johan F. Prins

We study the perfect conductivity problem with closely spaced perfect conductors embedded in a homogeneous matrix where the current-electric field relation is the power law $J=\sigma|E|^{p-2}E$. The gradient of solutions may be arbitrarily…

Analysis of PDEs · Mathematics 2023-11-21 Hongjie Dong , Zhuolun Yang , Hanye Zhu

We propose an objective and robust method to extract the electrical conductance of single molecules connected to metal electrodes from a set of measured conductance data. Our method roots in the physics of tunneling and is tested on…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 M. Teresa González , Songmei Wu , Roman Huber , Sense J. van der Molen , Christian Schönenberger , Michel Calame

We consider independent electrons in a periodic crystal in their ground state, and turn on a uniform electric field at some prescribed time. We rigorously define the current per unit volume and study its properties using both linear…

Mathematical Physics · Physics 2021-08-04 Eric Cancès , Clotilde Fermanian Kammerer , Antoine Levitt , Sami Siraj-Dine

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…

Mesoscale and Nanoscale Physics · Physics 2017-06-15 Jakub Lis