The single-parameter scaling hypothesis predicts the absence of delocalized states for noninteracting quasiparticles in low-dimensional disordered systems. We show analytically, using a supersymmetric method combined with renormalization group analysis, as well numerically that extended may occur one- and two-dimensional Anderson model nonrandom hopping falling off some power distance between sites. different size bare level spacing renormalized magnitude disorder seen by finally results...

We study the angular diffusion in a classical $d\ensuremath{-}\mathrm{dimensional}$ inertial XY model with interactions decaying distance between spins as ${r}^{\ensuremath{-}\ensuremath{\alpha}}$, $\ensuremath{\alpha}\ensuremath{\geqslant}0$. After very short-time ballistic regime, ${\ensuremath{\sigma}}_{\ensuremath{\theta}}^{2}\ensuremath{\sim}{t}^{2}$, superdiffusive for which ${\ensuremath{\sigma}}_{\ensuremath{\theta}}^{2}\ensuremath{\sim}{t}^{{\ensuremath{\alpha}}_{D}}$,...

In order to physically enlighten the relationship between {\it $q$--independence} and scale-invariance}, we introduce three types of asymptotically scale-invariant probabilistic models with binary random variables, namely (i) a family, characterized by an index $\nu=1,2,3,...$, unifying Leibnitz triangle ($\nu=1$) case independent variables ($\nu\to\infty$); (ii) two slightly different discretizations $q$--Gaussians; (iii) special parameter $\chi$, which generalizes usual (recovered for...

Despite its centennial successes in describing physical systems at thermal equilibrium, Boltzmann–Gibbs (BG) statistical mechanics have exhibited, the last several decades, flaws addressing out-of-equilibrium dynamics of many nonlinear complex systems. In such circumstances, it has been shown that an appropriate generalization BG theory, known as nonextensive and based on nonadditive entropies, is able to satisfactorily handle wide classes anomalous emerging features violations standard...

We numerically study the first-principle dynamics and thermostatistics of a d-dimensional classical inertial Heisenberg ferromagnetic model ( d = 1 , 2 3 ) with interactions decaying distance r i j as / α ≥ 0 ), where limit → ∞ corresponds to infinite-range (nearest-neighbour) interactions, ratio > ≤ characterizes short-ranged (long-ranged) regime. By means molecular we study: (i) The scaling system size N maximum Lyapunov exponent λ in form ∼ - κ depends only on ; (ii) time-averaged...

It is generally believed that all eigenstates in one-dimensional disordered lattices are localized provided disorder uncorrelated. We show this statement fails for a Anderson model with special type of long-range inter-site interaction, resulting specific, non-parabolic quasi-particle energy dispersion. Remarkably, the states appearing to be delocalized belong tail band.

This paper critically reviews the different mechanisms impacting current-voltage and capacitance voltage characteristics of complementary metal oxide semiconductor (CMOS) compatible p-n junctions. Special attention is given to influence high doping density/high electric fields, mechanical stress presence a hetero-junction either at junction or in depletion region. The basic reported literature are checked for their validity state-of-the-art structures processing techniques. Critical issues...

We analyze the effects of intersite energy correlations on linear optical properties one-dimensional disordered Frenkel exciton systems. The absorption linewidth and factor radiative rate enhancement are studied as a function correlation length disorder. line width monotonously approaches seeding degree disorder increasing length. On contrary, shows nonmonotonous trend, indicating complicated scenario localization in correlated concept coherently bound molecules is exploited to explain...

The effects of imperfections on the electrical performance four-gate field-effect transistors (G4-FETs) have been studied. Variations in oxide trap distribution and metallurgical boundary junction gates impact low-frequency noise static (dc) G4-FET. By modeling, iterative characterization published experimental data, extensive simulations, it is shown that these originate from distributions gate oxides depleted regions semiconductor channel. proposed models are based established models, such...

The dynamics and thermostatistics of a classical inertial XY model, characterized by long-range interactions, are investigated on $d$-dimensional lattices ($d=1,2,$ 3), through molecular dynamics. interactions between rotators decay with the distance $r_{ij}$ like~$1/r_{ij}^{\alpha}$ ($\alpha \geq 0$), where $\alpha\to\infty$ $\alpha=0$ respectively correspond to nearest-neighbor infinite-range interactions. We verify that momenta probability distributions Maxwellians in short-range regime,...

As well known, cumulant expansion is an alternative way to moment fully characterize probability distributions provided all the moments exist. If this not case, so-called escort mean values (or q-moments) have been proposed densities with divergent [C. Tsallis et al., J. Math. Phys. 50, 043303 (2009)]. We introduce here a new mathematical object, namely, q-cumulants, which, in analogy cumulants, provide characterization that of q-moments for densities. To illustrate technical details...

The low-frequency (LF) noise behavior of Fully Depleted (FD) Ultra-Thin Buried Oxide (UTBOX) Silicon-on-Insulator (SOI) nMOSFETs is described from the perspective three major sources: 1/f-like or flicker noise, associated with carrier trapping/detrapping in gate oxide; Generation-Recombination (GR) due to processing-induced defects thin silicon film and single-oxide-trap-related Random Telegraph Noise (RTN). It shown that fully depleted nature films (<20 nm) offers unique opportunity study...

We study a one-dimensional Frenkel Hamiltonian with off-diagonal disorder, focusing our attention on the physical nature of zero-energy peak density states. The character excitonic states (localized or delocalized) is also examined in vicinity this peak. It shown that state being responsible for localized. A detailed comparison nearest-neighbor approach long-range dipole-dipole coupling performed.

We report on an anomalous behavior of the absorption spectrum in a one-dimensional lattice with long-range-correlated diagonal disorder power-like form S(k) ~ 1/k^A. These type correlations give rise to phase extended states at band center, provided A is larger than critical value A_c. show that for < A_c single-peaked, while additional peak arises when > A_c, signalling occurrence Anderson transition. The located slightly below low-energy mobility edge, providing unique spectroscopic tool...

We introduce a family of dimension scale-invariant Leibniz-like pyramids and (d + 1)-dimensional hyperpyramids = 1, 2, 3, …), with d 1 corresponding to triangles, 2 (tetrahedral) pyramids, so on. For all values d, they are characterized by parameter ν &amp;gt; 0, whose value determines the degree correlation between N 1)-valued random variables corresponds binary variables, ternary on). There 1)N different events, limit → ∞ independent in which case each event has probability 1/(d occur. The...

We show that the N → ∞ limiting probability distributions of a recently introduced family d-dimensional scale-invariant probabilistic models based on Leibniz-like (d + 1)-dimensional hyperpyramids (Rodríguez and Tsallis 2012 J. Math. Phys. 53 023302) are given by Dirichlet for d = 1, 2, .... It was formerly proved Rodríguez et al that, one-dimensional case 1), corresponding q-Gaussians , with . The generalize so-called Beta to higher dimensions. Consistently, we make connection between via...

This paper studies the duration of quasi-stationary states, typical long-range-interacting Hamiltonians where negative specific heat emerges. For classical Heisenberg d-dimensional model, authors show a universal behavior on time evolution average kinetic energy per particle as function dimension, system size, and range interactions.

We study electronic transport in long DNA chains using the tight-binding approach for a ladder-like model of DNA. find insulating behavior with localizaton lengths ξ ≈ 25 units average base-pair seperation. Furthermore, we observe small, but significant differences between λ-DNA, centromeric DNA, promoter sequences as well random-ATGC (© 2006 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim)