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• W2964110906 abstract "The long-range spectral density correlations (spectral rigidities Δ 3 (n) and related spectral compressibilities) of the E (⊗) (b 1 + b 2 ) Jahn-Teller model are found strongly nonuniversal with respect to the Hamiltonian parameters and inhomogeneous with respect to the choice of a partial energy segment. However, the partial spectral rigidities exhibit common features: an anomalous linear part for small n and a saturation for large n. The spectral compressibilities found for the partial spectral segments and averaged over a whole relevant part of the spectrum cumulate close to a well-defined limit pertaining to the semi-Poisson statistics. This is in accordance with similar tendencies revealed in the short-range averaged statistical characteristics of this model investigated in our previous paper (Majernikova and Shpyrko 2006 Phys. Rev. E 73 057202). These features document an inhomogeneous and nonuniversal weakening of level repulsions and nonuniversality of level fluctuations on both long and short energy scales. The nonuniversality and inhomogeneity of the statistical characteristics correspond to a similar behaviour of the chaoticity parameter (a fraction of the chaotic phase space of the trajectories) found for the corresponding semiclassical Hamiltonian. We ascribe the nonuniversal and inhomogeneous nonintegrability behaviour to the changing degree of the brokening of the rotation symmetry when changing parameters of our effectively two-dimensional model. It results in a random distribution of the respective localized wavefunctions at all scales up to the size of an available state space. The multifractal behaviour of the wavefunctions is implied from the analysis of their (averaged) fractal dimensions which range up to 1.5 ± 0.1 (for D 2 ). This might imply the concept of the chaos-assisted tunnelling between the regions of reduced degree of stochasticity through regions of high degree of stochasticity. It supports the analogy with the two-dimensional Anderson model with marginal-asymptotically far metal-insulator transition. The features found allow us to classify the present model as a member of the class with a multifractal eigenfunction statistics characteristic for the spectra with weakened level repulsion similar to the Anderson model close to the metal-insulator transition." @default.
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• W2964110906 date "2008-04-02" @default.
• W2964110906 modified "2023-10-17" @default.
• W2964110906 title "Marginal intermediate statistics in the excited spectra of theE⊗ (b1+b2) Jahn–Teller system" @default.
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