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

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dc.creatorMajernikova, E.
dc.creatorShpyrko, S.
dc.date2007-11-27
dc.date2008-11-26
dc.date.accessioned2026-07-07T12:05:06Z
dc.date.available2026-07-07T12:05:06Z
dc.descriptionThe dynamics of excited phonon spectra of the Exe 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.
dc.description10 pages, 8 figures; published in European Physical Journal B; see also: cond-mat/0509687
dc.identifierhttps://arxiv.org/abs/0711.4377
dc.identifierhttp://arxiv.org/abs/0711.4377
dc.identifierEur. Phys. J. B, v.66, 259-269 (2008)
dc.identifierdoi:10.1140/epjb/e2008-00419-y
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/208292
dc.subjectSoft Condensed Matter
dc.subjectStatistical Mechanics
dc.subjectChaotic Dynamics
dc.titleLevel-dynamic approach to the excited spectra of the Jahn-Teller model - kink-train lattice and 'glassy' quantum phase
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