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Anomalous Behavior of Trihomonuclear Magnetic Clusters Due to Their Four-Color Symmetry

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In this paper the magnetic behavior of trihomonuclear Kramers clusters containing iron(III), chromium(III), copper(II), vanadium(IV) and cobalt(II) atoms is analyzed. It is shown that in the case of high spins S i (i = 1,2,3), as it was established earlier for the case S i = 1/2, there is no instability of the ground state spin population by analogy with Jahn-Teller instability. The distortion-induced spin polarization from two Kramers components is compensated by distortion-induced spin polarization of the same value but opposite sign due to two other Kramers components of the spin trimer ground state. Unlike the non-Kramers systems where the 58 two-color (black-and-white) point groups of magnetic symmetry exist, for Kramers spin clusters only for nontrivial point groups of magnetic symmetry exist and they are four-color ones. Among the symmetry elements of these groups, there are no threefold rotation axes, and therefore not all atoms of the magnetic trimer clusters are equivalent. The anomalous temperature behavior of trihomonuclear Kramers clusters is discussed in terms of four-color magnetic group symmetry.


Document Type: Review Article

DOI: http://dx.doi.org/10.1166/jno.2011.1190

Publication date: December 1, 2011

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  • Journal of Nanoelectronics and Optoelectronics (JNO) is an international and cross-disciplinary peer reviewed journal to consolidate emerging experimental and theoretical research activities in the areas of nanoscale electronic and optoelectronic materials and devices into a single and unique reference source. JNO aims to facilitate the dissemination of interdisciplinary research results in the inter-related and converging fields of nanoelectronics and optoelectronics.
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