Diffusion and Localisation in Random Systems

✍ Scribed by P. V. Elyutin; B. Hickey; G. J. Morgan; G. F. Weir

• Publisher: John Wiley and Sons
• Year: 1984
• Tongue: English
• Weight: 503 KB
• Volume: 124
• Category: Article
• ISSN: 0370-1972
• DOI: 10.1002/pssb.2221240130

✦ Synopsis

Abstract

Direct computer experiments are conducted on electron diffusion in a simple cubic lattice where the disorder corresponds to the Anderson model. Results for the onset of total localisation are in good agreement with other numerical estimates and it is found that the critical value of the parameter__W/ZV__ is (17.7/6). A random structurally disordered system is also investigated with hopping integrals given by V(r) = ‐V~0~ exp (‐r/a) and found that localisation occurs at the critical value a = 3 ± 0.3. Thisis in agreement with the only other numerical estimate but is substantiallydifferent from theoretical calculations.