Universal behavior near the band edges for disordered systems: Numerical and coherent-potential-approximation studies

Journal Article · Sun May 15 04:00:00 EDT 1988 · Phys. Rev. B: Condens. Matter; (United States)

DOI:https://doi.org/10.1103/PhysRevB.37.8289· OSTI ID:5265209

Li, Q; Soukoulis, C M; Economou, E N

The integrated densities of states (DOS) of one-, two-, and three-dimensional tight-binding models with diagonal and off-diagonal disorder are calculated numerically. Our results for the diagonal-disorder case confirm the expected universal behavior of the DOS, particularly near the band edges. The simple exponential behavior of the DOS is clearly displayed in the three-dimensional results. The off-diagonal-disorder case follows a universal behavior too, which agrees reasonably well with the coherent-potential-approximation (CPA) results. Our results are compared with the various phenomenological theories, with the CPA conclusions, and with previous numerical results.

• Research Organization: Ames Laboratory and Department of Physics, Iowa State University, Ames, Iowa 50011
• DOE Contract Number: W-7405-ENG-82
• OSTI ID: 5265209
• Journal Information: Phys. Rev. B: Condens. Matter; (United States), Journal Name: Phys. Rev. B: Condens. Matter; (United States) Vol. 37:14; ISSN PRBMD
• Country of Publication: United States
• Language: English

Related Subjects

656002* -- Condensed Matter Physics-- General Techniques in Condensed Matter-- (1987-)
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
ELECTRONIC STRUCTURE
ENERGY-LEVEL DENSITY
NUMERICAL SOLUTION
ONE-DIMENSIONAL CALCULATIONS
SOLIDS
THREE-DIMENSIONAL CALCULATIONS
TWO-DIMENSIONAL CALCULATIONS