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An exact expression for the Drude conductivity in one dimension is derived under the presence of an arbitrary potential. In getting the conductivity the influence of the electric field on the crystal potential is taken into account. This…

Statistical Mechanics · Physics 2015-05-13 Michael Schulz , Steffen Trimper

The Landauer formula for quantum conductance, based on the modern paradigm: "conduction is transmission", is generalized to samples of macroscopic size. Two regimes of electrical conduction, namely diffusive and ballistic ones, are studied.…

Condensed Matter · Physics 2007-05-23 P. R. Silva , Marcos Sampaio , C. Nassif , M. C. Nemes

We propose a simple approach to study the conductance through an array of $N$ interacting quantum dots, weakly coupled to metallic leads. Using a mapping to an effective site which describes the low-lying excitations and a slave-boson…

Strongly Correlated Electrons · Physics 2007-05-23 A. M. Lobos , A. A. Aligia

We study a finite quantum wire connected to external leads, and show that the conductance of the system significantly depends upon the length of the quantum wire and the position of the impurity in it. For a very long quantum wire and the…

Condensed Matter · Physics 2009-10-30 Yu-Liang Liu

We compute the universal conductivity of the (2+1)-dimensional XY universality class, which is realized for a superfluid-to-Mott insulator quantum phase transition at constant density. Based on large-scale Monte Carlo simulations of the…

Strongly Correlated Electrons · Physics 2015-09-23 Kun Chen , Longxiang Liu , Youjin Deng , Lode Pollet , Nikolay Prokof'ev

A method for the calculation of the conductance of nanoscale electrical junctions is extended to ab-initio electronic structure methods and applied to realistic models of metallic wires and break-junctions of sodium and gold. The method is…

Materials Science · Physics 2014-05-13 Matthieu J. Verstraete , P. Bokes , R. W. Godby

We present a microscopic model for calculating the AC conductivity of a finite length line junction made up of two counter or co-propagating single mode quantum Hall edges with possibly different filling fractions. The effect of…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 Amit Agarwal , Diptiman Sen

We study the transport through a quantum dot coupled to two leads by single-mode point contacts. The linear conductance is calculated analytically as a function of a gate voltage and temperature T in the case when transmission coefficients…

Condensed Matter · Physics 2009-10-28 A. Furusaki , K. A. Matveev

One-dimensional quantized conductance is derived from the electrons in a homogeneous electric field by calculating the traveling time of the accelerated motion and the number of electrons in the one-dimensional region. As a result, the…

Mesoscale and Nanoscale Physics · Physics 2024-12-25 Daiju Terasawa

The transport properties of nanostructured systems are deeply affected by the geometry of the effective connections to metallic leads. In this work we derive a conductance expression for interacting systems whose connectivity geometries do…

Mesoscale and Nanoscale Physics · Physics 2017-09-15 Luis G. G. V. Dias da Silva , Caio H. Lewenkopf , Edson Vernek , Gerson J. Ferreira , Sergio E. Ulloa

Kondo effect in the vicinity of a singlet-triplet transition in a vertical quantum dot is considered. This system is shown to map onto a special version of the two-impurity Kondo model. At any value of the control parameter, the system has…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 M. Pustilnik , L. I. Glazman

We show that the conductance of a quantum wire side-coupled to a quantum dot, with a gate potential favoring the formation of a dot magnetic moment, is a universal function of the temperature. Universality prevails even if the currents…

Strongly Correlated Electrons · Physics 2009-07-19 A. C. Seridonio , M. Yoshida , L. N. Oliveira

We compute the zero-temperature conductivity in the two-dimensional quantum $\mathrm{O}(N)$ model using a nonperturbative functional renormalization-group approach. At the quantum critical point we find a universal conductivity…

Strongly Correlated Electrons · Physics 2017-09-20 Félix Rose , Nicolas Dupuis

We analyze the zero temperature conductance of a parallel T-shaped double quantum dot system. We present an analytical expression for the conductance of the system in terms of the total number of electrons in both quantum dots. Our results…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 M. Crisan , I. Grosu , I. Tifrea

The quanta of electrical conductance is derived for a one-dimensional electron gas both by making use of the quasi-classical motion of a quantum fluid and by using arguments related to the uncertainty principle. The result is extended to a…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 M. Apostol

We have studied quantum wires using the Green's function technique and the density-functional theory, calculating the electronic structure and the conductance. All the numerics are implemented using the finite-element method with a…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Paula Havu , Martti Puska , Risto Nieminen , Ville Havu

We derive an expression for the 4-point conductance of a general quantum junction in terms of the density response function. Our formulation allows us to show that the 4-point conductance of an interacting electronic system possessing…

Materials Science · Physics 2007-10-04 P. Bokes , J. Jung , R. W. Godby

We propose that for conformal field theories admitting gravity duals, the thermal conductivity is fixed by the central charges in a universal manner. Though we do not have a proof as yet, we have checked our proposal against several…

High Energy Physics - Theory · Physics 2014-11-20 Sachin Jain

The electrical conductance of atomic metal contacts represents a powerful tool to detect nanomagnetism. Conductance reflects magnetism through anomalies at zero bias -- generally with Fano lineshapes -- due to the Kondo screening of the…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 Procolo Lucignano , Riccardo Mazzarello , Alexander Smogunov , Michele Fabrizio , Erio Tosatti

Based on a recent proposal [O.P. Sushkov, Phys. Rev. B 64, 155319 (2001)], we relate the quantum conductance through a sample in which electrons are strongly correlated to the persistent current of a large ring, composed of the sample and a…

Strongly Correlated Electrons · Physics 2009-11-07 Rafael A. Molina , Dietmar Weinmann , Rodolfo A. Jalabert , Gert-Ludwig Ingold , Jean-Louis Pichard
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