Chaos and its quantization in dynamical Jahn-Teller systems

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dc.creatorYamasaki, Hisatsugu
dc.creatorNatsume, Yuhei
dc.creatorTerai, Akira
dc.creatorNakamura, Katsuhiro
dc.date2003-04-22
dc.date.accessioned2026-07-07T12:16:38Z
dc.date.available2026-07-07T12:16:38Z
dc.descriptionWe investigate the $E_g \otimes e_g$ Jahn-Teller system for the purpose to reveal the nature of quantum chaos in crystals. This system simulates the interaction between the nuclear vibrational modes and the electronic motion in non-Kramers doublets for multiplets of transition-metal ions. Inclusion of the anharmonic potential due to the trigonal symmetry in crystals makes the system nonintegrable and chaotic. Besides the quantal analysis of the transition from Poisson to Wigner level statistics with increasing the strength of anharmonicity, we study the effect of chaos on the electronic orbital angular momentum and explore the magnetic $g$-factor as a function of the system's energy. The regular oscillation of this factor changes to a rapidly-decaying irregular oscillation by increasing the anharmonicity (chaoticity).
dc.description8 pages, 6 figures
dc.identifierhttps://arxiv.org/abs/cond-mat/0304484
dc.identifierhttp://arxiv.org/abs/cond-mat/0304484
dc.identifierPhys.Rev.E68:046201,2003
dc.identifierdoi:10.1103/PhysRevE.68.046201
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/211866
dc.subjectMaterials Science
dc.subjectAstrophysics
dc.subjectDisordered Systems and Neural Networks
dc.subjectChaotic Dynamics
dc.titleChaos and its quantization in dynamical Jahn-Teller systems
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