Abstract
This paper presents a simple model for such processes as spin diffusion or conduction in the "impurity band." These processes involve transport in a lattice which is in some sense random, and in them diffusion is expected to take place via quantum jumps between localized sites. In this simple model the essential randomness is introduced by requiring the energy to vary randomly from site to site. It is shown that at low enough densities no diffusion at all can take place, and the criteria for transport to occur are given.
Keywords
RandomnessDiffusionStatistical physicsLattice (music)Simple (philosophy)Anomalous diffusionCondensed matter physicsThermal conductionMolecular diffusionConduction bandPhysicsQuantum mechanicsElectronComputer scienceMathematicsInnovation diffusion
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Publication Info
- Year
- 1958
- Type
- article
- Volume
- 109
- Issue
- 5
- Pages
- 1492-1505
- Citations
- 11932
- Access
- Closed
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Cite This
P. W. Anderson
(1958).
Absence of Diffusion in Certain Random Lattices.
Physical Review
, 109
(5)
, 1492-1505.
https://doi.org/10.1103/physrev.109.1492
Identifiers
- DOI
- 10.1103/physrev.109.1492