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Journal ArticleDOI

Temperature-dependent diamagnetic-paramagnetic transitions in metal/semiconductor quantum rings

29 Dec 2020-Physical Review B (American Physical Society)-Vol. 102, Iss: 24, pp 245429
TL;DR: In this article, temperature dependent diamagnetic-paramagnetic transitions in thin quantum rings were studied and it was shown that the magnetic susceptibility of metal/semiconductor rings can exhibit multiple sign flips at intermediate and high temperatures depending on the number of conduction electrons in the ring and whether or not spin effects are included.
Abstract: We present theoretical studies of temperature dependent diamagnetic-paramagnetic transitions in thin quantum rings. Our studies show that the magnetic susceptibility of metal/semiconductor rings can exhibit multiple sign flips at intermediate and high temperatures depending on the number of conduction electrons in the ring ($N$) and whether or not spin effects are included. When the temperature is increased from absolute zero, the susceptibility begins to flip sign above a characteristic temperature that scales inversely with the number of electrons according to ${N}^{\ensuremath{-}1}$ or ${N}^{\ensuremath{-}1/2}$, depending on the presence of spin effects and the value of $N\phantom{\rule{0.16em}{0ex}}\mathrm{mod}\phantom{\rule{0.16em}{0ex}}4$. Analytical results are derived for the susceptibility in the low and high temperature limits, explicitly showing the spin effects on the ring Curie constant.
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Journal ArticleDOI
TL;DR: In this paper, a theory about diamagnetique anomale, observee dans les combinaisons aromatiques, is described. But it is not clear how to apply this theory to combinatories saturees, meme cycliques, or entre des arrangements moleculaires satures.
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2,116 citations


"Temperature-dependent diamagnetic-p..." refers background in this paper

  • ...[2] London, F....

    [...]

  • ...The electronic properties of low-dimensional structures with ring geometry have been a subject of great interest for many decades, starting with the early study of aromatic ring currents in benzene-like compounds [1, 2] and later with persistent currents in microscopic conducting rings [3, 4]....

    [...]

Journal ArticleDOI
TL;DR: In this article, a quantentheoretische behandlung beruht auf einer Storungsrechnung fur die Ladungsverteilung der Elektronen in substituierten Benzolen.
Abstract: Auf Grund der in der ersten Mitteilung diskutierten Elektronenstruktur des Benzols wird fur einfache Falle eine quantentheoretische Begrundung fur das chemische Verhalten substituierter Benzole gegeben. Dabei ergeben sich gewisse Abweichungen von dem zur Erfassung der hierbei geltenden Regeln durch Vorlander u. a. aufgestellten Schema. Die quantentheoretische Behandlung beruht auf einer Storungsrechnung fur die Ladungsverteilung der Elektronen in substituierten Benzolen.

1,504 citations


"Temperature-dependent diamagnetic-p..." refers background in this paper

  • ...This phenomenon is known as Hückel’s rule in the context of aromatic chemistry [42, 43] and represents the case where all electron spins are paired....

    [...]

  • ...[42] E....

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