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We present a refined semiclassical approach to the Landauer conductance and Kubo conductivity of clean chaotic mesoscopic systems. We demonstrate for systems with uniformly hyperbolic dynamics that including off-diagonal contributions to…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Klaus Richter , Martin Sieber

The method is proposed adapted for calculating the T=0 conductance of arbitrarily stretched disordered conducting strips in terms of the Kubo theory. The 2D scattering problem is solved through exact one-dimensionalization in mode…

Disordered Systems and Neural Networks · Physics 2009-10-31 Yu. V. Tarasov

We present a theory of the four--terminal conductance for the multi-channel tunneling barrier, which is based on the self-consistent solution of Shrodinger, Poisson and continuity equations. We derive new results for the case of a barrier…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Alex Kamenev , Walter Kohn

Electron transport through nanodevices of atoms in a single-layer rectangular arrangement with free (open) boundary conditions parallel to the direction of the current flow is studied within the single-band tight binding model. The Landauer…

Mesoscale and Nanoscale Physics · Physics 2017-11-17 G. Inkoom , M. A. Novotny

The electrical transport properties of atomic-scale conductors are reviewed, with an emphasis on the relations of this problem with studies on quantum size effects in metallic clusters. A brief introduction is given of the natural formalism…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 J. M. van Ruitenbeek

The most fundamental approach to an understanding of electronic, optical, and transport phenomena which the condensed matter physics (of conventional as well as nonconventional systems) offers is generally founded on two experiments: the…

Mesoscale and Nanoscale Physics · Physics 2013-06-18 Manvir S. Kushwaha

The purpose of this paper is to formulate a kinetic theory describing transport properties of electrons in a uniform magnetic field of arbitrary magnitude. Exposing an electronic system to a constant magnetic field quenches its energy bands…

Mesoscale and Nanoscale Physics · Physics 2025-09-09 Kitinan Pongsangangan

The periodic Lorentz gas describes an ensemble of non-interacting point particles in a periodic array of spherical scatterers. We have recently shown that, in the limit of small scatterer density (Boltzmann-Grad limit), the macroscopic…

Mathematical Physics · Physics 2008-05-17 Jens Marklof , Andreas Strombergsson

We study nonlinear transport for two coupled one-dimensional quantum wires or carbon nanotubes described by Luttinger liquid theory. Transport properties are shown to crucially depend on the contact length $L_c$. For a special interaction…

Strongly Correlated Electrons · Physics 2009-10-31 A. Komnik , R. Egger

Transport measurements are one of the most widely used methods of characterizing small systems in chemistry and physics. When interactions are negligible, the current through quantum dots, nanowires, molecular junctions, and other submicron…

Mesoscale and Nanoscale Physics · Physics 2022-04-01 Dan Klein , Karen Michaeli

We analyze quantum transport of charged fermionic particles in the tight-binding lattice connecting two particle reservoirs (the leads). If the lead chemical potentials are different they create an electric field which tilts the lattice. We…

Mesoscale and Nanoscale Physics · Physics 2026-04-15 Andrey R. Kolovsky

The expansion of the conductivity in 2-d quantum Lorentz models in terms of the scatterer density n is considered. We show that nonanalyticities in the density expansion due to scattering processes with small and large momentum transfers,…

Statistical Mechanics · Physics 2009-10-28 F. Evers , D. Belitz , Wansoo Park

We study the relation between the dc conductance and the transmission through an interacting region based on the Kubo formalism using the perturbation analysis in the Coulomb interaction developed by Yamada-Yosida and Shiba. We find that…

Strongly Correlated Electrons · Physics 2009-10-30 Akira Oguri

Transport through two one-dimensional interacting metals (Luttinger liquids) coupled together at a single point is analyzed. The dominant coupling mechanism is shown to be of electrostatic nature. Describing the voltage sources by boundary…

Strongly Correlated Electrons · Physics 2009-10-31 Andrei Komnik , Reinhold Egger

Recent advances in nano-thermometry motivate the extension of the Landauer-B\"uttiker scattering theory as to include the non-local dissipation associated with charge transport. Such a program is implemented by describing the inelastic…

Mesoscale and Nanoscale Physics · Physics 2026-03-10 Rodolfo A. Jalabert

We present a self-consistent method for the evaluation of the electronic current flowing through a multi-terminal molecular wire. The method is based on Buttiker- Landauer theory which relates the current to one-electron scattering…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Eldon G. Emberly , George Kirczenow

Electrical transport in semiconductor superlattices is studied within a fully self-consistent quantum transport model based on nonequilibrium Green functions, including phonon and impurity scattering. We compute both the drift…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 A. Wacker , A. -P. Jauho , S. Rott , A. Markus , P. Binder , G. H. D"ohler

We calculate the conductance of a quantum wire with two occupied subbands in a presence of a barrier taking into account the interaction between electrons. We extend the renormalization-group equation for the scattering matrix of the…

Mesoscale and Nanoscale Physics · Physics 2015-06-19 A. V. Borin , K. E. Nagaev

We consider a single electron traveling along a strictly one-dimensional quantum wire interacting with another electron in a quantum ring capacitively coupled to the wire. We develop an exact numerical method for treating the scattering…

Mesoscale and Nanoscale Physics · Physics 2016-11-25 M. R. Poniedziałek , B. Szafran

Electronic transport properties of the disordered quantum wires are considered. The disorder is introduced via impurities (point scatterers), distributed uniformly over the two-dimensional strip, which represents a model quantum wire.…

Mesoscale and Nanoscale Physics · Physics 2014-12-31 Robert Gębarowski
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