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Multifractality of one electron eigen states in 1D disordered long range models

Author

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  • Lima, Rodrigo P.A
  • Lyra, Marcelo L
  • Cressoni, José C

Abstract

One investigates the spatial structure of one-electron eigenstates for the one-dimensional Anderson model with long-range off-diagonal disorder hn,m=[−1,+1]/|n−m|δ where [a,b] means a uniform random distribution between a and b. Two cases are considered according to the choices for the on-site energy εn, namely, εn=0 and εn=[0,1]. For δ=1 all states are critical and the multifractal spectra f(α) is computed for the states near the center of the band. The level-spacing distribution function is also obtained and its behavior for both small and large separations are studied.

Suggested Citation

  • Lima, Rodrigo P.A & Lyra, Marcelo L & Cressoni, José C, 2001. "Multifractality of one electron eigen states in 1D disordered long range models," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 295(1), pages 154-157.
    • Handle: RePEc:eee:phsmap:v:295:y:2001:i:1:p:154-157
    DOI: 10.1016/S0378-4371(01)00069-3
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    Cited by:

    1. Korabel, Nickolay & Zaslavsky, George M., 2007. "Transition to chaos in discrete nonlinear Schrödinger equation with long-range interaction," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 378(2), pages 223-237.
    2. Silva, L.B.M. & Vermelho, M.V.D. & Lyra, M.L. & Viswanathan, G.M., 2009. "Multifractal detrended fluctuation analysis of analog random multiplicative processes," Chaos, Solitons & Fractals, Elsevier, vol. 41(5), pages 2806-2811.

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