scholarly journals Localization-delocalization transition in a two-dimensional quantum percolation model

2008 ◽  
Vol 77 (6) ◽  
Author(s):  
M Fhokrul Islam ◽  
Hisao Nakanishi
Keyword(s):  
Percolation Model ◽  
Two Dimensional ◽  
Quantum Percolation

Quantum transmittance and resonance in the two-dimensional quantum percolation model

1992 ◽  
Author(s):  
Indra Dasgupta ◽  
Tanusri Saha ◽  
Abhijit Mookerjee ◽  
Bikas N. Chakrabarti
Keyword(s):  
Percolation Model ◽  
Two Dimensional ◽  
Quantum Percolation

IS THERE A DELOCALISATION TRANSITION IN A TWO-DIMENSIONAL MODEL FOR QUANTUM PERCOLATION?

1992 ◽  
Vol 06 (13) ◽  
pp. 817-821 ◽  
Author(s):  
INDRA DASGUPTA ◽  
TANUSRI SAHA ◽  
ABHIJIT MOOKERJEE ◽  
B. K. CHAKRABARTI
Keyword(s):  
Finite Size ◽  
Two Dimensions ◽  
Percolation Model ◽  
Square Lattice ◽  
Two Dimensional ◽  
Finite Size Scaling ◽  
Dimensional Model ◽  
Recursion Method ◽  
Quantum Percolation ◽  
Two Dimensional Model

We estimate the transmittance of the quantum percolation model of Eggarter and Kirkpatrick (1972) on the square lattice of various sizes using the vector recursion method. We note from finite size scaling that there is no delocalisation transition for any degree of disorder in two dimensions.

Analysis of stochastic resonances in a two-dimensional quantum percolation model

1993 ◽  
Vol 47 (6) ◽  
pp. 3097-3104 ◽  
Author(s):  
Indra Dasgupta ◽  
Tanusri Saha ◽  
Abhijit Mookerjee
Keyword(s):  
Percolation Model ◽  
Two Dimensional ◽  
Quantum Percolation

QUANTUM PERCOLATION

1995 ◽  
Vol 09 (23) ◽  
pp. 2989-3024 ◽  
Author(s):  
ABHIJIT MOOKERJEE ◽  
INDRA DASGUPTA ◽  
TANUSRI SAHA
Keyword(s):  
Low Temperatures ◽  
Two Dimensions ◽  
Percolation Model ◽  
Quantum Percolation ◽  
Resonant States

In this review we describe and analyze various numerical attempts at understanding transport in the Quantum Percolation Model. We conclude that in two-dimensions all states are localized, though not necessarily exponentially localized, and that transport at low temperatures is dominated by probabilistically exceptional necklace-like resonant states.

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