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Quantum percolation and breakdown. Absence of the delocalisation transition in two dimensions

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  • Mookerjee, Abhijit
  • Chakrabarti, Bikas K.
  • Dasgupta, Indra
  • Saha, Tanusri

Abstract

We estimate the transmittance of the quantum percolation model of Eggarter and Kirkpatrick on square lattices of various sizes using the vector recursion technique. We note from arguments of finite size scaling theory that there is no delocalisation transition for any degree of disorder in two dimensions. We also discuss the behaviour of the critical electric field for dielectric (Zener) breakdown in Anderson insulators.

Suggested Citation

  • Mookerjee, Abhijit & Chakrabarti, Bikas K. & Dasgupta, Indra & Saha, Tanusri, 1992. "Quantum percolation and breakdown. Absence of the delocalisation transition in two dimensions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 186(1), pages 258-269.
    • Handle: RePEc:eee:phsmap:v:186:y:1992:i:1:p:258-269
    DOI: 10.1016/0378-4371(92)90381-Y
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    1. Sanchez-Albornoz, Nicolas, 1983. "Migración rural en los Andes Sipesipe (Cochabamba), 1645 (*)," Revista de Historia Económica / Journal of Iberian and Latin American Economic History, Cambridge University Press, vol. 1(1), pages 13-36, March.
    2. Coulehan, J.L. & Lerner, G. & Helzlsouer, K. & Welty, T.K. & McLaughlin, J., 1986. "Acute myocardial infarction among Navajo Indians, 1976-83," American Journal of Public Health, American Public Health Association, vol. 76(4), pages 412-414.
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    Cited by:

    1. Basu, Chaitali & Thakur, Prabhat Kumar, 1995. "Characterisation of the delocalised states in a continuous correlated disorder model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 217(3), pages 289-301.

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