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Chemosensors 2019, 7(1), 15; https://doi.org/10.3390/chemosensors7010015

An Effect of the Space Dimension of Electron Fermi Gas upon the Spin Ordering in Clusters and Nanoparticles

1
Theoretical Physics Department, Peter the Great St. Petersburg Polytechnic University, Polytechnicheskaya St. 29, 195251 St. Petersburg, Russia
2
Department of Physics, St. Petersburg State Chemical-Pharmaceutical Academy (SPCPA), Professor Popov St., 14, Lit. A, 197376 St. Petersburg, Russia
*
Author to whom correspondence should be addressed.
Received: 30 January 2019 / Revised: 10 March 2019 / Accepted: 12 March 2019 / Published: 25 March 2019
(This article belongs to the Special Issue Selected Papers from the N.I.C.E. 2018 Conference)
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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 (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. View Full-Text
Keywords: quasi-two; quasi-one; quasi-zero dimension Fermi system; intermediate dimension of phase space; polarized state; critical parameter; a general criterion for the spontaneous polarization quasi-two; quasi-one; quasi-zero dimension Fermi system; intermediate dimension of phase space; polarized state; critical parameter; a general criterion for the spontaneous polarization
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Orlenko, E.; Orlenko, F. An Effect of the Space Dimension of Electron Fermi Gas upon the Spin Ordering in Clusters and Nanoparticles. Chemosensors 2019, 7, 15.

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