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In this short paper we first give a very simple derivation of the Landauer formula for a 2-point conductance of QJ $G^{2P}$, based on the uncertainty principle. The aim of this is to introduce this central equation of quantum transport to a…

Materials Science · Physics 2007-05-23 P. Bokes

In this paper the Boltzmann equation describing the carrier transport in a semiconductor is considered. A modified Chapman-Enskog method is used, in order to find approximate solutions in the weakly non-homogeneous case. These solutions…

Statistical Mechanics · Physics 2007-05-23 S. F. Liotta , A. Majorana

An analytic approach to the electron transport phenomena in molecular devices is presented. Analyzed devices are composed of organic molecules attached to the two semi-infinite electrodes. Molecular system is described within the…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Kamil Walczak

Strongly interacting electron systems can provide insight into quantum many-body phenomena, such as Mott insulating behavior and spin liquidity, facilitating semiconductor optimization. The Fermi-Hubbard model is the prototypical model used…

Mesoscale and Nanoscale Physics · Physics 2024-02-08 Sumedh Vangara

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 present a time-dependent study of electron transport through a strongly correlated quantum dot. The time-dependent current is obtained with the multiple-probe battery method, while adiabatic lattice density functional theory in the Bethe…

Mesoscale and Nanoscale Physics · Physics 2013-02-06 A. Pertsova , M. Stamenova , S. Sanvito

We investigate the conductance of a quantum wire with two embedded quantum dots using a T-matrix approach based on the Lippmann-Schwinger formalism. The quantum dots are represented by a quantum well with Gaussian shape and the wire is…

Interband effects such as coherence/tunneling have recently been shown to give an important contribution to the charge and heat transport properties under certain conditions. These can be captured by adding corrective terms to the…

Materials Science · Physics 2025-12-05 Elena Trukhan , Nakib H. Protik

Electrical quantum conductors coupled to microwave resonators have in the last decade emerged as a versatile testbed for controllable light-matter interaction on the nanometer scale. Recent experimental progress with high impedance…

Mesoscale and Nanoscale Physics · Physics 2019-07-17 T. L. van den Berg , P. Samuelsson

We describe a quantum electromechanical system(QEMS) comprising a single quantum dot harmonically bound between two electrodes and facilitating a tunneling current between them. An example of such a system is a fullerene molecule between…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 D. Wahyu Utami , Hsi-Sheng Goan , G. J. Milburn

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

In this paper we analyze transport through a double dot system connected to two external leads. Imagining each dot possessing a single active level, we model the system through a generalization of the Anderson model. We argue that this…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Robert M. Konik

The thermal conductivity of classical multi-component fluids is seemingly affected by the intrinsic arbitrariness in the definition of the atomic energies and it is ill-conditioned numerically, when evaluated from the Green-Kubo theory of…

Statistical Mechanics · Physics 2019-09-30 Riccardo Bertossa , Federico Grasselli , Loris Ercole , Stefano Baroni

Electronic states and transport phenomena in semiconductor quantum dots are studied theoretically. Taking account of the electron-electron Coulomb interaction by the exact diagonalization method, the ground state and low-lying excited…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Mikio Eto

A new supersymmetric model for electrons with generalized hopping terms and Hubbard interaction on a one-dimensional lattice is solved by means of the Bethe Ansatz. We investigate the phase diagram of this model by studying the ground state…

Condensed Matter · Physics 2009-10-28 Gerald Bedürftig , Holger Frahm

We investigate the transport through a few-level quantum system described by a Markovian master equation with temperature- and particle-density dependent chemical potentials. From the corresponding Onsager relations we extract linear…

Quantum Gases · Physics 2014-02-03 Christian Nietner , Gernot Schaller , Tobias Brandes

The conductance of a ballistic quantum dot (having chaotic classical dynamics and being coupled by ballistic point contacts to two electron reservoirs) is computed on the single assumption that its scattering matrix is a member of Dyson's…

Condensed Matter · Physics 2009-10-22 R. A. Jalabert , J. -L. Pichard , C. W. J. Beenakker

Driven lattice gases serve as canonical models for investigating collective transport phenomena and properties of non-equilibrium steady states (NESS). Here we study one-dimensional transport with nearest-neighbor interactions both in…

Statistical Mechanics · Physics 2013-08-13 Marcel Dierl , Mario Einax , Philipp Maass

We describe the low-temperature optical conductivity as a function of frequency for a quantum-mechanical system of electrons that hop along a polymer chain. To this end, we invoke the Su-Schrieffer-Heeger \emph{tight-binding} Hamiltonian…

Mathematical Physics · Physics 2022-09-28 Dionisios Margetis , Alexander B. Watson , Mitchell Luskin

In this Chapter, we present recent theoretical developments on the finite temperature transport of one dimensional electronic and magnetic quantum systems as described by a variety of prototype models. In particular, we discuss the…

Strongly Correlated Electrons · Physics 2007-05-23 X. Zotos , P. Prelovsek