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Ohm's law provides a fundamental framework for understanding charge transport in conductors and underpins the concept of electrical scaling that has enabled the continuous advancement of modern CMOS technologies. As transistors are scaled…

Mesoscale and Nanoscale Physics · Physics 2026-01-06 Chang Niu , Adam Charnas , Jian-Yu Lin , Linjia Long , Zehao Lin , Zhuocheng Zhang , Peide D. Ye

A small review on scattering approach to electric transport. Transmission distribution can be gotten from Ohm's law and/or circuit theory. Send me a postcard if you read it all and enjoy.

Condensed Matter · Physics 2007-05-23 Yuli Nazarov

We derive a master equation for the electron transport through molecular wires in the limit of strong Coulomb repulsion. This approach is applied to two typical situations: First, we study transport through an open conduction channel for…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Franz J. Kaiser , Michael Strass , Sigmund Kohler , Peter Hänggi

Ohm's law has been a cornerstone of electronics since its experimental discovery. This law establishes that in a conductive system, the voltage is directly proportional to the current. Even when time-reversal symmetry is disrupted, leading…

Mesoscale and Nanoscale Physics · Physics 2025-09-29 Manuel Suárez-Rodríguez , Fernando De Juan , Ivo Souza , Marco Gobbi , Fèlix Casanova , Luis E. Hueso

It is shown that, in the scaling regime, transport properties of quantum wires with off-diagonal disorder are described by a family of scaling equations that depend on two parameters: the mean free path and an additional continuous…

Disordered Systems and Neural Networks · Physics 2009-10-31 P. W. Brouwer , C. Mudry , A. Furusaki

Charge transport measurements on flexible Mo$_{6}$S$_{3}$I$_{6}$ (MoSI) nanowires with different diameters in highly imperfect 2-terminal circuits reveal systematic power law behaviour of the conductivity $\sigma(T,V)$ as a function of…

Mesoscale and Nanoscale Physics · Physics 2009-05-08 M. Uplaznik , B. Bercic , M. Remskar , D. Mihailovic

Recent advances in hydrogen lithography on silicon surfaces now enable the fabrication of complex and error-free atom-scale circuitry. The structure of atomic wires, the most basic and common circuit elements, plays a crucial role at this…

Materials Science · Physics 2025-10-17 Max Yuan , Lucian Livadaru , Roshan Achal , Jason Pitters , Furkan Altincicek , Robert Wolkow

We study the electronic transport properties of the Anderson model on a strip, modeling a quasi one-dimensional disordered quantum wire. In the literature, the standard description of such wires is via random matrix theory (RMT). Our…

Mathematical Physics · Physics 2015-06-04 Sven Bachmann , Maximilian Butz , Wojciech De Roeck

Modeling of electron transport through organic molecules is presented in order to interpret the experimental data of Rosink et al. [PRB 62, 10459 (2000)]. Such results are understand as coherent off-resonance tunneling through the junction…

Soft Condensed Matter · Physics 2007-05-23 Kamil Walczak

We present a two-dimensional model of a Fermionic wire which shows a power-law conductance behavior despite the presence of uncorrelated disorder along the direction of the transport. The power-law behavior is attributed to the presence of…

Mesoscale and Nanoscale Physics · Physics 2024-07-08 Junaid Majeed Bhat

Metal nanowires exhibit a number of interesting properties: their electrical conductance is quantized, their shot-noise is suppressed by the Pauli principle, and they are remarkably strong and stable. We show that many of these properties…

Mesoscale and Nanoscale Physics · Physics 2015-06-24 C. A. Stafford

The quantum conductance and its classical wave analogue, the transmittance, are given by the sum of the eigenvalues of the transmission matrix. The lowest transmission eigenvalue in diffusive media might be expected to play a negligible…

Mesoscale and Nanoscale Physics · Physics 2024-06-10 Krishna Joshi , Israel Kurtz , Zhou Shi , Azriel Z. Genack

We give a brief introduction to Luttinger liquids and to the phenomena of electronic transport or conductance in quantum wires. We explain why the subject of transport in Luttinger liquids is relevant and fascinating and review some…

Strongly Correlated Electrons · Physics 2009-10-31 Sumathi Rao

We study electronic transport through a one-dimensional, finite-length quantum wire of correlated electrons (Luttinger liquid) coupled at arbitrary position via tunnel barriers to two semi-infinite, one-dimensional as well as stripe-like…

Strongly Correlated Electrons · Physics 2015-05-13 P. Wächter , V. Meden , K. Schönhammer

We explore electron transport properties in a quantum wire attached to two metallic electrodes. A simple tight-binding model is used to describe the system and the coupling of the wire to the electrodes (source and drain) is treated through…

Mesoscale and Nanoscale Physics · Physics 2010-01-10 Santanu K. Maiti

Using the Landauer formulation of transport theory and tight binding models of the electronic structure, we study electron transport through atomic wires that form 1D constrictions between pairs of metallic nano-contacts. Our results are…

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

The derivation of Lorentz-covariant generalizations of Ohm's law has been a long-term issue in theoretical physics with deep implications for the study of relativistic effects in optical and atomic physics. In this article, we propose an…

Mathematical Physics · Physics 2016-08-30 R. Starke , G. A. H. Schober

We present a theoretical analysis of recent experimental results of Yacoby et al. on transport properties of high quality quantum wires. We suggest an explanation of observed deviations of the conductance from the universal value $2e^2/h$…

Mesoscale and Nanoscale Physics · Physics 2008-02-03 Anton Yu. Alekseev , Vadim V. Cheianov

The metal-semiconductor contact is a major factor limiting the shrinking of transistor dimension to further increase device performance. In-plane edge contacts have the potential to achieve lower contact resistance due to stronger orbital…

Mesoscale and Nanoscale Physics · Physics 2019-02-15 Wushi Dong , Peter B. Littlewood

Electron transport phenomena in disordered electron systems with spin-orbit coupling in two dimensions and below are studied numerically. The scaling hypothesis is checked by analyzing the scaling of the quasi-1D localization length. A…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Yoichi Asada , Keith Slevin , Tomi Ohtsuki
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