On thermodynamic observables and the Anderson model
- 1 December 1982
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 15 (12), 3891-3897
- https://doi.org/10.1088/0305-4470/15/12/038
Abstract
A thermodynamic observable is approximately additive under the decomposition of the volume. This property is of particular relevance to disordered systems. If scaled by the size of the system (N) a thermodynamic observable converges with probability one to a non-random limit as N to infinity inasmuch as one may apply the ergodic theorem. The author presents a simple argument to prove that the density of states in the Anderson model is a thermodynamic observable. Both diagonal and off-diagonal disorder are discussed, and the relation to the replica method is indicated.Keywords
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