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We present a general method for calculating coherent electronic transport in quantum wires and tunnel junctions. It is based upon a real space high order finite difference representation of the single particle Hamiltonian and wave…

Materials Science · Physics 2007-05-23 Petr A. Khomyakov , Geert Brocks

We first explain the pseudogap of high-temperature superconductivity based on an approach of quantum optics. After introducing a damping factor for the lifetime $\tau$ of quasiparticles, the superconducting dome is naturally produced, and…

Superconductivity · Physics 2008-11-21 Deshui Yu , Jingbiao Chen

We discuss the calculation of the linear conductance through a Coulomb-blockade quantum dot in the presence of interactions beyond the charging energy. In the limit where the temperature is large compared with a typical tunneling width, we…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Y. Alhassid , T. Rupp , A. Kaminski , L. I. Glazman

We show that an Anderson Hamiltonian describing a quantum dot connected to multiple leads is integrable. A general expression for the non-linear conductance is obtained by combining the Bethe ansatz exact solution with Landauer-B\"uttiker…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Sam Young Cho , Huan-Qiang Zhou , Ross H. McKenzie

A quantum-mechanical calculation of conductance in an open quantum dot is performed in the Landauer-B\"{u}ttiker formalism using a tight binding Hamiltonian with direct Coulomb interaction. The charge distribution in the dot is calculated…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 A. Aldea , A. Manolescu , V. Moldoveanu

A universal mechanism of superconductivity applicable to ``low temperature'' and ``high temperature'' superconductors is proposed in this paper. With this model of mechanism experimental facts of superconductors can be qualitatively…

Superconductivity · Physics 2007-05-23 W. Z. Shangguan , T. C. Au-Yeung

In the ballistic limit, the Landauer conductance steps of a mesoscopic quantum wire have been explained by coherent and dissipationless transmission of individual electrons across a one-dimensional barrier. This leaves untouched the central…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Mukunda P. Das , Frederick Green

Electron transport through a single-level quantum dot weakly coupled to Luttinger liquid leads is considered in the master equation approach. It is shown that for a weak or moderately strong interaction the differential conductance…

Strongly Correlated Electrons · Physics 2013-02-06 G. A. Skorobagatko , I. V. Krive

We review our experiments on the electronic transport properties of atomic contacts between metallic electrodes, in particular superconducting ones. Despite ignorance of the exact atomic configuration, these ultimate quantum point contacts…

Mesoscale and Nanoscale Physics · Physics 2012-01-24 L. Bretheau , Ç. Girit , L. Tosi , M. Goffman , P. Joyez , H. Pothier , D. Esteve , C. Urbina

We review the conceptual structure of the Landauer theory of electron transport in the light of quantum kinetics, the orthodox framework for describing conductance at all scales. In a straightforward analysis, we assess popular claims for a…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Mukunda P. Das , Frederick Green

Understanding DC electrical conductivity is crucial for the study of materials. Macroscopic DC conductivity can be calculated from first principles using the Kubo-Greenwood equation. The procedure involves finding the thermodynamic limit of…

Disordered Systems and Neural Networks · Physics 2020-03-23 Pavlo Bulanchuk

We revisit the problem of two-terminal transport of non-interacting Fermi particles in a mesoscopic device. First, we generalize the problem by including into consideration relaxation processes in contacts (which are characterized by the…

Mesoscale and Nanoscale Physics · Physics 2024-07-11 Andrey R. Kolovsky

We consider a superconducting quantum point contact in a circuit quantum electrodynamics setup. We study three different configurations, attainable with current technology, where a quantum point contact is coupled galvanically to a coplanar…

Superconductivity · Physics 2012-05-25 G. Romero , I. Lizuain , V. S. Shumeiko , E. Solano , F. S. Bergeret

The Landauer-B\"{u}ttiker formula, which characterizes the current flowing through a finite region connected to leads, has significantly advanced our understanding of transport. We extend this formula to describe particle and energy…

Mesoscale and Nanoscale Physics · Physics 2026-02-06 Chao Yang , Yucheng Wang

We consider the energy shift for an atom close to a non-magnetic body with a magnetic moment coupled to a quantized magnetic field. The corresponding repulsive Casimir-Polder force is obtained for a perfect conductor, a metal, a dielectric…

Quantum Physics · Physics 2009-09-05 Bo-Sture Skagerstam , Per Kristian Rekdal , Asle Heide Vaskinn

Resonant tunneling through a quantum dot coupled to superconducting reservoirs in the presence of time-dependent external voltage has been studied. A general formula of the current is derived based on the nonequilibrium Green's function…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Sam Young Cho , Kicheon Kang , Chang-Mo Ryu

A systematic method of calculating the dynamical conductivity tensor in a general multiband electronic model with strong boson-mediated electron-electron interactions is described. The theory is based on the exact semiclassical expression…

Strongly Correlated Electrons · Physics 2013-03-13 I. Kupcic , Z. Rukelj , S. Barisic

In the independent electron approximation, the average (energy/charge/entropy) current flowing through a finite sample S connected to two electronic reservoirs can be computed by scattering theoretic arguments which lead to the famous…

Spectral Theory · Mathematics 2015-06-11 Laurent Bruneau , Vojkan Jaksic , Yoram Last , Claude-Alain Pillet

Coherent electron transport through a quantum channel in the presence of a general extended scattering potential is investigated using a T-matrix Lippmann-Schwinger approach. The formalism is applied to a quantum wire with Gaussian type…

From the theory of quantum $LC$ circuits with discrete charge, and {\em semiclassical} considerations, we obtain approximate energy eigenvalues, depending on the parameter $q_e^2/h$. Next, we include electrical resistance for the quantum…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Constantino A. Utreras-Diaz