Electronic density of levels in a disordered system

✍ Scribed by J.M Luttinger; R Tao

• Publisher: Elsevier Science
• Year: 1983
• Tongue: English
• Weight: 706 KB
• Volume: 145
• Category: Article
• ISSN: 0003-4916
• DOI: 10.1016/0003-4916(83)90177-x

✦ Synopsis

Three-, two-, and one-dimensional disordered systems with randomly distributed, purely repulsive scattering centers, known as Lorentz models, are studied in the low energy limit [ 11. Using a functional integral representation and a version of the "replica trick," we have found in the D-dimensional system the density of electronic levels of the form n(E)= b,EYexp(-b,E-'"'* + b,E-'"""' + ... + b,E~"'*')(l + O(@))

and the constants b,, b, ,..., b,,, and y have been determmed.