Accession Number : AD0697007

Title :   LOCAL THEORY OF DISORDERED SYSTEMS.

Descriptive Note : Technical rept.,

Corporate Author : CALIFORNIA UNIV SAN DIEGO LA JOLLA DEPT OF PHYSICS

Personal Author(s) : Butler,William H. ; Kohn,Walter

Report Date : 10 NOV 1969

Pagination or Media Count : 19

Abstract : The most striking characteristic of crystalline solids is their periodicity. As a result of this feature, theoretical descriptions of physical phenomena in such systems are usually given in wave number of momentum space. The reciprocal lattice of a crystal and the Fermi surface of a metal are examples. In a disordered system, on the other hand, there is no such periodicity and momentum space descriptions are much less natural. However, in such systems, physical conditions near a point r, in coordinate space, become independent of the conditions at a distant point r', provided that (the absolute value of (r' -r) is large compared to either a characteristic mean free path or some other appropriate length. This suggests that one can analyze a macroscopic disordered system by averaging over the properties of microscopic neighborhoods. The present paper reports some details of such a program which has focused especially on the electronic density of states.

Descriptors :   (*SOLID SOLUTIONS, MOLECULAR ASSOCIATION), ALLOYS, CRYSTAL STRUCTURE, BAND THEORY OF SOLIDS, TOPOLOGY

Subject Categories : Atomic and Molecular Physics and Spectroscopy
      Solid State Physics

Distribution Statement : APPROVED FOR PUBLIC RELEASE