Some results obtained with the renormalization group decimation technique recently applied to some particular cases are discussed in the context of the tight- binding model for a one-dimensional chain with nearest-neighbour interactions. Ordered, with one impurity: Incommensurate and with completely random diagonal 'energy' parameters; ordered with longer range interactions; ordered twodimensional lattice; and pure fractal (Sierpinski gasket) structures are considered. Emphasis is laid on the behaviour of the parameters upon the iteration from which localization properties are obtained. A short discussion of recent approaches for the calculation of densities of states in one dimension is also presented. © 1988 Taylor & Francis Group, LLC.
Wiecko, C., Eduardo Roman, H. (1988). Localization properties in linear models through decimation. PHILOSOPHICAL MAGAZINE. B. PHYSICS OF CONDENSED MATTER. STRUCTURAL, ELECTRONIC, OPTICAL AND MAGNETIC PROPERTIES, 57(2), 149-165 [10.1080/13642818808201611].
Localization properties in linear models through decimation
Eduardo Roman H.
1988
Abstract
Some results obtained with the renormalization group decimation technique recently applied to some particular cases are discussed in the context of the tight- binding model for a one-dimensional chain with nearest-neighbour interactions. Ordered, with one impurity: Incommensurate and with completely random diagonal 'energy' parameters; ordered with longer range interactions; ordered twodimensional lattice; and pure fractal (Sierpinski gasket) structures are considered. Emphasis is laid on the behaviour of the parameters upon the iteration from which localization properties are obtained. A short discussion of recent approaches for the calculation of densities of states in one dimension is also presented. © 1988 Taylor & Francis Group, LLC.
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