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We present a novel way of defining transmission coefficient of one spatial dimensional few interacting electrons system. The formalism is based on the probability interpretation of unitarity of physical scattering $S$-matrix. The relation…

Mesoscale and Nanoscale Physics · Physics 2019-09-04 Peng Guo , Vladimir Gasparian

We numerically analyze the transmission through a thin disordered wire of finite length attached to perfect leads, by making use of banded random Hamiltonian matrices. We compare the Landauer and the Thouless conductances, and find that…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 Giulio Casati , Italo Guarneri , Giulio Maspero

Understanding the behavior of light in non-equilibrium scenarios underpins much of quantum optics and optical physics. While lasers provide a severe example of a non-equilibrium problem, recent interests in the near-equilibrium physics of…

Quantum Physics · Physics 2016-10-26 Chiao-Hsuan Wang , J. M. Taylor

A square lattice of mesoscopic resistors is considered. Each bond is modeled as a narrow waveguide, while junctions are sources of elastic scattering given by a scattering matrix \mathbf{S}. Symmetry and unitarity constraints are used in a…

Mesoscale and Nanoscale Physics · Physics 2025-05-19 Oliwier Urbański

Theoretical foundations of electron transport in mesoscopic systems, based on Landauer theory, Master equations or Onsager linear thermodynamics, are revisited to show that the noniteracting electrons model is insufficient to describe…

Mesoscale and Nanoscale Physics · Physics 2025-07-29 Robert Alicki

We formulate a stochastic description of entropy production in scattering theory for coherent transport. We distinguish between the information entropy change due to partial knowledge of the leads' state and the thermodynamic entropy change…

Mesoscale and Nanoscale Physics · Physics 2026-04-29 Ludovico Tesser , Henning Kirchberg , Matteo Acciai , Janine Splettstoesser

In this study, we propose a recursive approach to study the transport properties of atomic wires. It is based upon a real-space block-recursion technique with Landauer's formula being used to express the conductance as a scattering problem.…

Mesoscale and Nanoscale Physics · Physics 2011-06-07 Soumendu Datta , Tanusri Saha-Dasgupta , Abhijit Mookerjee

Unprecedented control over the manufacture of electronic devices on nanometer scale has allowed to perform highly controllable and fine-tuned experiments in the quantum regime where exotic effects can nowadays be measured. In quantum dot…

Strongly Correlated Electrons · Physics 2022-12-20 Emma L. Minarelli

We consider an electron interacting locally with two-level systems (TLSs) as an archetypal model for charge transport in the presence of inelastic scatterers. To assess the importance of quantum effects in the optical and d.c. conductivity…

Strongly Correlated Electrons · Physics 2025-09-25 Hadi Rammal , Sergio Ciuchi , Simone Fratini

We use the Kubo-Landauer formalism to compute the longitudinal (two-terminal) conductance of a two dimensional electron system placed in a strong perpendicular magnetic field, and subjected to periodic modulations and/or disorder…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Chenggang Zhou , Mona Berciu

We introduce a simple model for the quantum transport of Fermi particles between two contacts connected by a lead. It generalizes the Landauer formalizm by explicitly taken into account the relaxation processes in the contacts. We calculate…

Quantum Gases · Physics 2020-11-25 A. R. Kolovsky

The electron transport properties of a four-terminal molecular device are computed within the framework of density functional theory and non-equilibrium Keldysh theory. The additional two terminals lead to new properties, including a…

Mesoscale and Nanoscale Physics · Physics 2009-09-01 Kamal K. Saha , Wenchang Lu , J. Bernholc , Vincent Meunier

Recent experiments have probed quantum dots through transport measurements in the regime where they are described by a two lead Anderson model. In this paper we develop a new method to analytically compute for the first time the…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Robert Konik , Hubert Saleur , Andreas Ludwig

The chiral Luttinger liquid model for the edge dynamics of a two-dimensional electron gas in a strong magnetic field is derived from coarse-graining and a lowest Landau level projection procedure at arbitrary filling factors $\nu<1$ --…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Roberto D'Agosta , Roberto Raimondi , Giovanni Vignale

A self-consistent linear-response theory for a two-lead mesoscopic structure in Landauer's viewpoint for transport is developed. A density operator relevant in this viewpoint, in a uniform magnetic field is derived. It is shown that this…

Mesoscale and Nanoscale Physics · Physics 2007-10-30 A. Abdellaoui , F. Benamira

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 study the transport properties of a quantum wire, described by the Tomonaga-Luttinger model, in the presence of a backscattering potential provided by several extended time-dependent impurities (barriers). Employing the B\"…

Strongly Correlated Electrons · Physics 2010-07-08 D. Makogon , V. Juricic , C. Morais Smith

We investigate different methods to compute the DC conductance in a quantum wire doped with some impuritied by exploiting the integrability of the theories under consideration. As an essential ingredient in all methods we evaluate the…

Condensed Matter · Physics 2007-05-23 Olalla A. Castro-Alvaredo , Andreas Fring

We obtain exact analytical results for the evolution of a 1+1-dimensional Luttinger model prepared in a domain wall initial state, i.e., a state with different densities on its left and right sides. Such an initial state is modeled as the…

Mathematical Physics · Physics 2017-06-28 Edwin Langmann , Joel L. Lebowitz , Vieri Mastropietro , Per Moosavi

We use a Boltzmann equation to determine the magnetoconductivity of quantum wires. The presence of a confining potential in addition to the magnetic field removes the degeneracy of the Landau levels and allows one to associate a group…

Condensed Matter · Physics 2009-10-22 Henrik Bruus , Karsten Flensberg , Henrik Smith