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This article is a mini-review about electrical current flows in networks from the perspective of statistical physics. We briefly discuss analytical methods to solve the conductance of an arbitrary resistor network. We then turn to basic…

Statistical Mechanics · Physics 2007-10-08 S. Redner

Statistical properties of the electron transport flowing through nanostructures are strongly influenced by the interactions, geometry of the system and/or by type of the external electrodes. These factors affect not only the average current…

Mesoscale and Nanoscale Physics · Physics 2020-06-03 Grzegorz Michałek , Bogdan R. Bułka , Tadeusz Domański , Karol I. Wysokiński

We investigate the electronic structure of twin boundaries in orthorhombically distorted high-T$_c$ materials using the quasiclassical theory of superconductivity. At low temperatures we find a local instability to a time-reversal symmetry…

Superconductivity · Physics 2009-10-31 W. Belzig , C. Bruder , M. Sigrist

We demonstrate theoretically that a dissipationless spin current can flow a long distance through a diffusive normal metal by using superconductors interfaced with magnetic insulators. The magnitude of this spin supercurrent is controlled…

Mesoscale and Nanoscale Physics · Physics 2015-07-15 Ingvild Gomperud , Jacob Linder

We study the patterns at which the current flow stabilizes in a 1D superconducting wire, for various experimentally reasonable boundary conditions, for small fixed current densities and temperatures close to $T_c$. We pay special attention…

Superconductivity · Physics 2015-08-26 Jorge Berger

Understanding energy dissipation and transport in nanoscale structures is of great importance for the design of energy-efficient circuits and energy-conversion systems. This is also a rich domain for fundamental discoveries at the…

Mesoscale and Nanoscale Physics · Physics 2010-03-23 Eric Pop

We introduce a cellular automaton model coupled with a transport equation for flows on graphs. The direction of the flow is described by a switching process where the switching probability dynamically changes according to the value of the…

Cellular Automata and Lattice Gases · Physics 2013-07-02 Pierre Degond , Michael Herty , Jian-Guo Liu

The effects of the charging energy in the superconducting transition of granular materials or Josephson junction arrays is investigated using a pseudospin one model. Within a mean-field renormalization-group approach, we obtain the phase…

Condensed Matter · Physics 2009-10-22 E. Granato , M. A. Continentino

We study formally and rigorously the bifurcation to steady and time-periodic states in a model for a thin superconducting wire in the presence of an imposed current. Exploiting the PT-symmetry of the equations at both the linearized and…

Mathematical Physics · Physics 2009-11-13 Jacob Rubinstein , Peter Sternberg , Kevin Zumbrun

Technological progress towards next-generation electronics critically relies on achieving faster switching with reduced energy consumption. Because device operation speeds are fundamentally constrained by the intrinsic properties of…

Strongly Correlated Electrons · Physics 2026-04-21 Youngjae Kim , Sejoong Kim , Jun-Won Rhim

Producing a large current typically requires large dissipation, as is the case in electric conduction, where Joule heating is proportional to the square of the current. Stochastic thermodynamics offers a framework to study nonequilibrium…

Quantum Physics · Physics 2021-11-17 Hiroyasu Tajima , Ken Funo

Spin currents may be generated by applying bias voltages V to the nanostructures even in the absence of spin-active ferromagnetic interfaces. Most theoretical proposals concentrate on a concrete spin-orbit interaction and on the…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Yuli V. Nazarov

We study the supercurrent in a superconductor/ferromagnet/superconductor graphene junction. In contrast to its metallic counterpart, the oscillating critical current in our setup decays only weakly upon increasing exchange field and…

Superconductivity · Physics 2009-11-13 Jacob Linder , Takehito Yokoyama , Daniel Huertas-Hernando , Asle Sudbø

Superconducting systems may display different types of nonequilibrium states depending on the specific constraints imposed for measurement. We probe current-voltage relations of three-dimensional superconducting films by allowing finite…

Superconductivity · Physics 2026-01-27 Shamashis Sengupta

Inspired by recent experimental findings that will be presented elsewhere, we formulate and investigate a model of a superconducting junction that combines the electron propagation in a quantum channel with an arbitrary transmission, and…

Mesoscale and Nanoscale Physics · Physics 2022-01-21 Hristo Barakov , Yuli V. Nazarov

Superconducting vortices and phase slips are primary mechanisms of dissipation in superconducting, superfluid, and cold atom systems. While the dynamics of vortices is fairly well described, phase slips occurring in quasi-one dimensional…

Superconductivity · Physics 2017-06-01 Gregory Kimmel , Andreas Glatz , Igor S. Aranson

We microscopically derive the spin diffusion equation in an s-wave superconductor in the vicinity of the superconducting transition temperature Tc. Applying the general relation between the relaxation function and the response function to…

Mesoscale and Nanoscale Physics · Physics 2018-12-31 Takuya Taira , Masanori Ichioka , So Takei , Hiroto Adachi

We present switching field distributions of spin-transfer assisted magnetization reversal in perpendicularly magnetized Co/Ni multilayer spin-valve nanopillars at room temperature. Switching field measurements of the Co/Ni free layer of…

Mesoscale and Nanoscale Physics · Physics 2014-04-29 D. B. Gopman , D. Bedau , S. Mangin , E. E. Fullerton , J. A. Katine , A. D. Kent

As a superconductor goes from the normal state into the superconducting state, the voltage vs. current characteristics at low currents change from linear to non-linear. We show theoretically and experimentally that the addition of current…

Superconductivity · Physics 2009-11-10 M. C. Sullivan , T. Frederiksen , J. M. Repaci , D. R. Strachan , R. A. Ott , C. J. Lobb

We study the time evolving currents flowing in an interacting, ring-shaped nanostructure after a bias voltage has been switched on. The source-to-drain current exhibits the expected relaxation towards its quasi-static equilibrium value at a…

Mesoscale and Nanoscale Physics · Physics 2019-09-25 B. M. Schoenauer , N. M. Gergs , P. Schmitteckert , F. Evers , D. Schuricht