The Influence of Percolation in the Generalized Chalker-Coddington Model
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概要
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We ntttnerically investigate the influence of' classical percolation on the qtranttrrn Halllocalization-delocalization transition. This is acconajclished within the f'ratnework of the gera-eralized Chatlker -Coddington network naaodel which 2llI0XVS LIS to control the tattunber of classicalsaddle points l)}7 setting the width 11/ of the saddle poirat distribtrtiota. It is ['ound that increasingthis xvidth causes a new rtaicroscojoic length scale to atjvpear wlaich depends on TV and scales xviththe exponent X Z 1.36 which indicates 21 close connection to the clatssical percolation length4 and its exponent v. :: 4/3. Further'ttaore, tlue inlltrence of an incre?tse in TV on the spectralst?ttistics of the qu?xsienergies of' the network taaodel is itavestigated. An ef['ect siztailar to theincrease of' the potential correlation lengtla ita the Landau raaodel is seen.
- 社団法人日本物理学会の論文
- 1999-01-15
著者
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Metzler M
Department Of Physics Toho University
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METZLER Marcus
Department of Physics,Toho University
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Metzler Marcus
Department Of Physics Toho University
関連論文
- The Influence of Percolation in the Generalized Chalker-Coddington Model
- Spectral Properties of the Chalker-Coddington Network
- Spectral Properties of Three-Dimensional Layered Quantum Hall Systems