Universal scaling of electron transmission for nearly ballistic and quantum dragon nanodevices

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F25%3A10500539" target="_blank" >RIV/00216208:11320/25:10500539 - isvavai.cz</a>
Result on the web
<a href="https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=FlPx726p7Z" target="_blank" >https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=FlPx726p7Z</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.chaos.2025.116879" target="_blank" >10.1016/j.chaos.2025.116879</a>

Result language
angličtina
Original language name
Universal scaling of electron transmission for nearly ballistic and quantum dragon nanodevices
Original language description
We predict two different universal scaling regimes for the quantum transmission of metallic nanodevices following the addition of a small amount of uncorrelated disorder. A nanodevice is connected to two thin semi-infinite uniform leads, and the Non-Equilibrium Green's Function (NEGF) methodology yields the electron transmission 7(E) as a function of the injected electron energy E. Ballistic nanodevices have no disorder and have 7(E)=1 for all E that allow electron propagation in the leads. Quantum dragon nanodevices can have extremely strong properly correlated disorder, and still have 7(E)=1 for all E. Additional uncorrelated site disorder leads to Fano resonances in 7(E). Averaging over the uncorrelated disorder we predict using perturbation theory two universal scaling regimes for 7ave(E). The functional form of both universal scaling regimes depend on the device length and width, energy, and variance of the uncorrelated disorder. The second scaling regime, valid for small but somewhat larger uncorrelated disorder than the first scaling regime, also has the form dependent on the density of states of the system. These two scaling regimes are demonstrated to be valid via large scale computer calculations.
Czech name
—
Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10300 - Physical sciences

Project
<a href="/en/project/GF23-05263K" target="_blank" >GF23-05263K: Superconducting nanohybrids out of equilibrium</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2025
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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