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Gauge invariance is a fundamental principle that must be preserved in quantum transport. However, when a complex potential is incorporated into the Hamiltonian, we find that the current described by the well-established…

Mesoscale and Nanoscale Physics · Physics 2024-09-23 Miaomiao Wei , Bin Wang , Jian Wang

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

A theoretical study is presented to quantitatively analyze the transport experiment through individual DNA molecules reported recently by Porath {\it et al.} [Nature {\bf 403}, 635 (2000)]. A variety of valuable quantities are identified by…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Xin-Qi Li , YiJing Yan

Recently, it is shown that the extended phase space formulation of quantum mechanics is a suitable technique for studying the quantum dissipative system. Here, as an application of this formalism, we consider a dissipative system of charged…

Quantum Physics · Physics 2007-05-23 S. Khademi , S. Nasiri , S. Fathi , F. Taati

We report on studies of the magnetoresistance in strongly correlated 2D electron system in Si in the critical regime, in the close vicinity of the 2D metal-insulator transition. We performed self-consistent comparison of our data with…

Strongly Correlated Electrons · Physics 2015-06-25 D. A. Knyazev , O. E. Omelyanovskii , V. M. Pudalov , I. S. Burmistrov

We show that the Landauer multi-terminal formula for the conductance of a nanoscale system is incomplete because it does not take into account many-body effects which cannot be treated as contributions to the single-particle transmission…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Giovanni Vignale , Massimiliano Di Ventra

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

The Wigner-function formalism is a well known approach to model charge transport in semiconductor nanodevices. Primary goal of the present article is to point out and explain intrinsic limitations of the conventional quantum-device modeling…

Mesoscale and Nanoscale Physics · Physics 2015-06-15 Roberto Rosati , Fabrizio Dolcini , Rita Claudia Iotti , Fausto Rossi

In the Comment by Bordag et al. [Phys. Rev. B 113, 207401 (2026) and ArXiv:2506.10792], concerns are raised regarding the validity of the results presented in [Phys. Rev. B 111, 115428 (2025)], where the theoretical descriptions of the…

Mesoscale and Nanoscale Physics · Physics 2026-05-12 Pablo Rodriguez-Lopez , Jian-Sheng Wang , Mauro Antezza

Off-resonant charge transport through molecular junctions has been extensively studied since the advent of single-molecule electronics and it is now well understood within the framework of the non-interacting Landauer approach. Conversely,…

In this paper we address the topic of inelastic electron scattering in mesoscopic quantum transport. For systems where only elastic scattering is present, Landauer theory provides an adequate description of transport that relates the…

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

Quasi-classical theory of superconductivity provides a powerful and yet simple description of the superconductivity phenomenology. In particular, the Eilenberger and Usadel equations provide a neat simplification of the description of the…

Superconductivity · Physics 2014-05-28 François Konschelle

We present a time-linear scaling method to simulate open and correlated quantum systems out of equilibrium. The method inherits from many-body perturbation theory the possibility to choose selectively the most relevant scattering processes…

Mesoscale and Nanoscale Physics · Physics 2025-06-10 R. Tuovinen , Y. Pavlyukh , E. Perfetto , G. Stefanucci

Experimental studies on single-molecule junctions are typically in need of a simple theoretical approach that can reproduce or be fitted to experimentally measured transport data. In this context, the single-level variant of the Landauer…

Chemical Physics · Physics 2021-02-10 Jakub K. Sowa , Rudolph A. Marcus

As Lanzagorta and Crowder have shown in their Comment [Phys. Rev. A 96, 026101 (2017)], the linear application of the Wigner rotations to the quantum state of two massive relativistic particles does not entail the instantaneous transmission…

Quantum Physics · Physics 2017-08-31 Pablo L. Saldanha , Vlatko Vedral

The concepts of Wigner time delay and Wigner-Smith matrix allow to characterize temporal aspects of a quantum scattering process. The article reviews the statistical properties of the Wigner time delay for disordered systems; the case of…

Mesoscale and Nanoscale Physics · Physics 2018-11-06 Christophe Texier

We develop a first-principles electron-transport simulator based on the Lippmann--Schwinger (LS) equation within the framework of the real-space finite-difference scheme. In our fully real-space based LS (grid LS) method, the ratio…

Mesoscale and Nanoscale Physics · Physics 2015-09-30 Yoshiyuki Egami , Shigeru Iwase , Shigeru Tsukamoto , Tomoya Ono , Kikuji Hirose

The Landauer formula for dissipationless conductance lies at the heart of modern electronic transport, yet it remains without a clear microscopic basis. We analyze the Landauer formula microscopically, and give a straightforward quantum…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Mukunda P. Das , Frederick Green

It is argued that Trauzettel et al. [Phys. Rev. B 75, 035305 (2007)] made some mistakes in their calculations regarding the photon-assisted transport in graphene that lead to uncoupled sidebands and emergence of step-like features in dG/dV…

Mesoscale and Nanoscale Physics · Physics 2010-10-26 M. Ahsan Zeb

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