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Level-dynamic approach to the excited spectra of the Jahn-Teller model – kink-train lattice and ‘glassy’ quantum phase

  • Statistical and Nonlinear Physics
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Abstract

The dynamics of excited phonon spectra of the E⊗e Jahn-Teller (hereafter, JT) model mapped onto the generalized Calogero-Moser (gCM) gas of pseudoparticles implies a complex interplay between nonlinearity and fluctuations of quasiparticle trajectories. A broad crossover appears in a pseudotime (interaction strength) between the initial oscillator region and the nonlinear region of the kink-train lattice as a superlattice of the kink-antikink gCM trajectories. The local nonlinear fluctuations, nuclei (droplets) of the growing kink phase arise at the crossover, forming a new intermediate droplet “glassy” phase as a precursor of the kink phase. The “glassy” phase is related to a broad maximum in the entropy of the probability distributions of pseudoparticle accelerations, or level curvatures. The kink-train lattice phase with multiple kink-antikink collisions is stabilised by long-range correlations when approaching a semiclassical limit. A series of bifurcations of nearest-level spacings were recognised as signatures of pre-chaotic behaviour at the quantum level in the kink phase. Statistical characteristics can be seen to confirm the coexistence within all of the spectra of both regularity and chaoticity to a varying extent (nonuniversality). Regions are observed within which one of the phases is dominant.

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Authors and Affiliations

  1. Institute of Physics, Slovak Academy of Sciences, Dúbravská cesta, 84511, Bratislava, Slovak Republic

    E. Majerníková

  2. Department of Optics, Palacký University, Tř. 17. listopadu 50, 77207, Olomouc, Czech Republic

    E. Majerníková & S. Shpyrko

  3. Institute for Nuclear Research, Ukrainian Academy of Sciences, pr. Nauki 47, Kiev, Ukraine

    S. Shpyrko

Authors
  1. E. Majerníková
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  2. S. Shpyrko
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Correspondence to E. Majerníková.

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Majerníková, E., Shpyrko, S. Level-dynamic approach to the excited spectra of the Jahn-Teller model – kink-train lattice and ‘glassy’ quantum phase. Eur. Phys. J. B 66, 259–269 (2008). https://doi.org/10.1140/epjb/e2008-00419-y

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  • DOI: https://doi.org/10.1140/epjb/e2008-00419-y

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