Absence of Diffusion in Certain Random Lattices
- 1 March 1958
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review B
- Vol. 109 (5), 1492-1505
- https://doi.org/10.1103/physrev.109.1492
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
This publication has 12 references indexed in Scilit:
- Quantum Theory of Electrical Transport PhenomenaPhysical Review B, 1957
- Percolation processesMathematical Proceedings of the Cambridge Philosophical Society, 1957
- Multiple Scattering by Quantum-Mechanical SystemsPhysical Review B, 1957
- Spectral Diffusion in Magnetic ResonancePhysical Review B, 1956
- Electronic Structure ofCenters: Saturation of the Electron Spin ResonancePhysical Review B, 1953
- On the interaction of nuclear spins in a crystalline latticePhysica, 1949
- A Note on Perturbation TheoryPhysical Review B, 1948
- Stochastic Problems in Physics and AstronomyReviews of Modern Physics, 1943
- Theory of Pressure Effects of Foreign Gases on Spectral LinesPhysical Review B, 1935
- Über die Verbreiterung von SpektrallinienAnnalen der Physik, 1919