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Ohm's law is crucial for understanding electrical circuits and conductive materials. Formulated by Georg Simon Ohm in the 19th century, it describes the direct proportional relationship between electric voltage and electric current in ohmic…

Electron transport in two-dimensional conducting materials such as graphene, with dominant electron-electron interaction, exhibits unusual vortex flow that leads to a nonlocal current-field relation (negative resistance), distinct from the…

Fluid Dynamics · Physics 2021-02-22 Jonathan Mayzel , Victor Steinberg , Atul Varshney

We measure the conductivity of neutral fermions in a cubic optical lattice. Using in-situ fluorescence microscopy, we observe the alternating current resultant from a single-frequency uniform force applied by displacement of a weak harmonic…

Electrons in conductors suffer frequent scatterings with defects and phonons, and the diffusive macroscopic behaviors are determined by an external electric field through Ohms law. If electrons are no longer diffusive, the Ohmic description…

Dominating electron-electron scattering enables viscous electron flow exhibiting hydrodynamic current density patterns such as Poiseuille profiles or vortices. The viscous regime has recently been observed in graphene by non-local transport…

Since its first isolation in 2004, graphene has been found to host a plethora of unusual electronic transport phenomena, making it a fascinating system for fundamental studies in condensed-matter physics as well as offering tremendous…

Electron-electron interactions in high-mobility conductors can give rise to transport signatures resembling those described by classical hydrodynamics. Using a nanoscale scanning magnetometer, we imaged a distinctive hydrodynamic transport…

Mesoscale and Nanoscale Physics · Physics 2024-08-02 Marius L. Palm , Chaoxin Ding , William S. Huxter , Takashi Taniguchi , Kenji Watanabe , Christian L. Degen

Understanding the electrical conductivity of warm dense hydrogen is critical for both fundamental physics and applications in planetary science and inertial confinement fusion. We demonstrate how to calculate the electrical conductivity…

Materials Science · Physics 2025-02-14 Kushal Ramakrishna , Mani Lokamani , Attila Cangi

We present a magneto-transport study of graphene samples into which a mild disorder was introduced by exposure to ozone. Unlike the conductivity of pristine graphene, the conductivity of graphene samples exposed to ozone becomes very…

Mesoscale and Nanoscale Physics · Physics 2015-05-18 J. Moser , H. Tao , S. Roche , F. Alsina , C. M. Sotomayor Torres , A. Bachtold

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

Hydrodynamic transport effectively describes the collective dynamics of fluids with well-defined thermodynamic quantities. With enhanced electron-electron interactions at elevated temperatures, the collective behavior of electrons in…

Mesoscale and Nanoscale Physics · Physics 2024-06-25 Artem Talanov , Jonah Waissman , Aaron Hui , Brian Skinner , Kenji Watanabe , Takashi Taniguchi , Philip Kim

We calculate the electrical and thermal conductivities and the thermoelectric coefficient of a class of strongly interacting 2+1 dimensional conformal field theories with anti-de Sitter space duals. We obtain these transport coefficients as…

High Energy Physics - Theory · Physics 2008-11-26 Sean A. Hartnoll , Christopher P. Herzog

We model disorder in graphene by random impurities treated in a coherent-potential approximation. Using the analytically solvable Lloyd model for the disorder distribution, we show that the temperature dependence of the minimum conductivity…

Mesoscale and Nanoscale Physics · Physics 2012-03-13 Michael Sentef , Marcus Kollar , Arno P. Kampf

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

Electron hydrodynamics is an emerging framework that describes dynamics of interacting electron systems as conventional fluids. While evidence for hydrodynamic-like transport is reported in a variety of two-dimensional materials, precise…

Mesoscale and Nanoscale Physics · Physics 2025-03-25 Yihang Zeng , Haoyu Guo , Olivia M. Ghosh , Kenji Watanabe , Takashi Taniguchi , Leonid S. Levitov , Cory R. Dean

Understanding the electronic transport properties of iron under high temperatures and pressures is essential for constraining geophysical processes. The difficulty of reliably measuring these properties under Earth-core conditions calls for…

Materials Science · Physics 2023-03-15 Kushal Ramakrishna , Mani Lokamani , Andrew Baczewski , Jan Vorberger , Attila Cangi

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

We explore the dependence of electrical transport in a graphene field effect transistor (GraFET) on the flow of the liquid within the immediate vicinity of that transistor. We find large and reproducible shifts in the charge neutrality…

Mesoscale and Nanoscale Physics · Physics 2012-05-15 A. K. M. Newaz , D. A. Markov , D. Prasai , K. I. Bolotin

We investigate the joint effect of viscous and Ohmic dissipation on electric current flow through a slit in a barrier dividing a graphene sheet in two. In the case of the no-slip boundary condition, we find that the competition between the…

Mesoscale and Nanoscale Physics · Physics 2020-09-07 Sergey S. Pershoguba , Andrea F. Young , Leonid I. Glazman

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
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