What Is Ohm's Law?
Ohm's law states that the current through an ohmic conductor is proportional to the voltage across it: V = I R. The constant of proportionality, R, is the resistance, measured in ohms (Ω).
For an ohmic material, R does not depend on V or I. Examples: most metallic resistors over a wide range. Non-ohmic devices include diodes (exponential I–V), filament bulbs (R rises with T), thermistors, and plasmas.
Microscopic Ohm's law: J = σE, with current density J, conductivity σ, and electric field E. Resistance R = ρL/A then follows from geometry, where ρ = 1/σ is the resistivity.
Recent research on this topic from arXiv
Preprints and papers indexed on arXiv.org. Links open the public abstract pages.
- Metallic ground state and glassy transport in single crystalline URh$_2$Ge$_2$: Enhancement of disorder effects in a strongly correlated electron system
S. Süllow, I. Maksimov, A. Otop et al. · 2004 ·arXiv:0411437v1
We present a detailed study of the electronic transport properties on a single crystalline specimen of the moderately disordered heavy fermion system URh$_2$Ge$_2$. For this material, we find glassy electronic transport in a single crystall... - Landauer-Büttiker approach for hyperfine mediated electronic transport in the integer quantum Hall regime
Aniket Singha, M. H. Fauzi, Yoshiro Hirayama et al. · 2016 ·arXiv:1612.02584v2
The interplay of spin-polarized electronic edge states with the dynamics of the host nuclei in quantum Hall systems presents rich and non-trivial transport physics. Here, we develop a Landauer-Büttiker approach to understand various experim... - Highly parallelizable electronic transport calculations in periodic Rhodium and Copper nanostructures
Shifeng Zhu, Baruch Feldman, Scott Dunham · 2022 ·arXiv:2208.02783v1
We extend the highly-parallelizable open-source electronic transport code TRANSEC to perform real-space atomic-scale electronic transport calculations with periodic boundary conditions in the lateral dimensions. We demonstrate the use of TR... - Effects of substrate temperature on the unusual non-Fermi liquid metal to insulator transition in perovskite SrIrO3 thin films
Abhijit Biswas, Yoon Hee Jeong · 2015 ·arXiv:1503.04555v1
Electronic transport has been investigated for strong spin-orbit coupled perovskite SrIrO3 thin films grown at various substrate temperatures. The electronic transport of the SrIrO3 films is found to be very sensitive to the growth paramete...