Basic properties of the current-current correlation measure for random Schroedinger operators
Journal Article
·
· Journal of Mathematical Physics
- Mathematics Department, University of Kentucky, Lexington, Kentucky 40506-0027 (United States)
The current-current correlation measure plays a crucial role in the theory of conductivity for disordered systems. We prove a Pastur-Shubin-type formula for the current-current correlation measure expressing it as a thermodynamic limit for random Schroedinger operators on the lattice and the continuum. We prove that the limit is independent of the self-adjoint boundary conditions and independent of a large family of expanding regions. We relate this finite-volume definition to the definition obtained by using the infinite-volume operators and the trace-per-unit volume.
- OSTI ID:
- 20861426
- Journal Information:
- Journal of Mathematical Physics, Vol. 47, Issue 11; Other Information: DOI: 10.1063/1.2378618; (c) 2006 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); ISSN 0022-2488
- Country of Publication:
- United States
- Language:
- English
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