Critical properties in long-range hopping Hamiltonians

Critical properties in long-range hopping Hamiltonians

Some properties of d-dimensional disordered models with long-range random hopping amplitudes are investigated numerically at criticality. We concentrate on the correlation dimension d2 (for d = 2) and the nearest level spacing distribution Pc(s) (for d = 3) in both the weak (b ≫ 1) and the strong (b ≪ 1) coupling regime, where the parameter b plays the role of the coupling constant of the model...

Critical Hamiltonians with long range hopping

Abstract. Critical states are studied by a real space RG in the problem with strong diagonal disorder and long range power law hopping. The RG flow of the distribution of coupling parameters is characterized by a family of non-trivial fix points. We consider the RG flow of the distribution of participation ratios of eigenstates. Scaling of participation ratios is sensitive to the nature of the ...

Long-range charge hopping in DNA.

The fundamental mechanisms of charge migration in DNA are pertinent for current developments in molecular electronics and electrochemistry-based chip technology. The energetic control of hole (positive ion) multistep hopping transport in DNA proceeds via the guanine, the nucleobase with the lowest oxidation potential. Chemical yield data for the relative reactivity of the guanine cations and of...

Frequency hopping for long-range IoT networks

Shielding and localization in presence of long range hopping

G. L. Celardo, 2 R. Kaiser, and F. Borgonovi Dipartimento di Matematica e Fisica and Interdisciplinary Laboratories for Advanced Materials Physics, Università Cattolica, via Musei 41, 25121 Brescia, Italy, Istituto Nazionale di Fisica Nucleare, Sezione di Pavia, via Bassi 6, I-27100, Pavia, Italy Center for Theoretical Physics of Complex Systems, Institute for Basic Science, Daejeon, Korea Univ...