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Keywords = a general criterion for the spontaneous polarization

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12 pages, 1049 KB  
Article
An Effect of the Space Dimension of Electron Fermi Gas upon the Spin Ordering in Clusters and Nanoparticles
by Elena Orlenko and Fedor Orlenko
Chemosensors 2019, 7(1), 15; https://doi.org/10.3390/chemosensors7010015 - 25 Mar 2019
Viewed by 3159
Abstract
Herein, the collective effects of spin polarization in a degenerate electron gas of an arbitrary space dimension are discussed. We consider these low-dimensional systems in light of potential wells (rectangular or cylindrical), and as a two- or one-dimensional oscillator system with the second [...] Read more.
Herein, the collective effects of spin polarization in a degenerate electron gas of an arbitrary space dimension are discussed. We consider these low-dimensional systems in light of potential wells (rectangular or cylindrical), and as a two- or one-dimensional oscillator system with the second (and third) spatial dimension proportional to the oscillator’s length. The concept of “intermediate” sizes ν = 6, 5, 4 corresponding to the quasi-low dimensions ν* = 0, 1, 2, contrary to “pure” space dimensions ν = 1, 2 is introduced. A general effect of the space dimension upon the spontaneous polarization in electron Fermi gas is detected. Full article
(This article belongs to the Special Issue Selected Papers from the N.I.C.E. 2018 Conference)
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