Low-dimensional life of critical Anderson electron

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61389005%3A_____%2F23%3A00570748" target="_blank" >RIV/61389005:_____/23:00570748 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1016/j.physleta.2023.128735" target="_blank" >https://doi.org/10.1016/j.physleta.2023.128735</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.physleta.2023.128735" target="_blank" >10.1016/j.physleta.2023.128735</a>

Result language
angličtina
Original language name
Low-dimensional life of critical Anderson electron
Original language description
We show that critical Anderson electron in 3 dimensions is present in its spatial effective support, which was recently determined to be a region of fractal dimension approximate to 8/3, with probability 1 in infinite volume. Hence, its physics is fully confined to space of this lower dimension. Stated differently, effective description of space occupied by critical Anderson electron becomes a full description in infinite volume. We then show that it is a general feature of the effective counting dimension underlying these concepts, that its subnominal value implies an exact description by effective support.
Czech name
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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
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OECD FORD branch
10301 - Atomic, molecular and chemical physics (physics of atoms and molecules including collision, interaction with radiation, magnetic resonances, Mössbauer effect)

Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2023
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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