Probing the Global Delocalization Transition in the de Moura-Lyra Model with the Kernel Polynomial Method
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In this paper, we report numerical calculations of the localization length in a non-interacting one-dimensional tight-binding model at zero tem¬perature, holding a correlated disorder model with an algebraic power-spectrum (de Moura-Lyra model). Our calculations were based on a Kernel Polynomial implementation of the Thouless formula for the inverse localization length of a general nearest-neighbor 1D tight-binding model with open boundaries. Our results confirm the delocalization of all eigenstates in de Moura-Lyra model for α > 1 and a localization length which diverges as ξ ∝ (1 – α)–1 for α → 1–, at all energies in the weak disorder limit (as previously seen in [12]).
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2017 ◽
Vol 37
(4)
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pp. 3995-4006
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2013 ◽
Vol 25
(04)
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pp. 1350007
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2012 ◽
Vol 400
(4)
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pp. 042030
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1996 ◽
Vol 98
(10)
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pp. 909-912
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THE THUE-MORSE APERIODIC CRYSTAL, A LINK BETWEEN THE FIBONACCI QUASICRYSTAL AND THE PERIODIC CRYSTAL
1987 ◽
Vol 01
(01)
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pp. 121-132
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