Abstract
We give a semiquantitative model for the density of states and transport properties of an electron in a system of randomly located hard-core scatterers. Our main results are these: (a) The density of states has the usual square-root behavior for high energies and a tail of localized states at the low-energy end; the energy at which the transition occurs is computed from percolation theory. (b) For a fixed temperature the fraction of electrons in localized states increases drastically with the density of scatterers above a critical density. Thus, our model provides a physical explanation for the mobility transition found by Neustadter and Coopersmith.
Original language | English (US) |
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Pages (from-to) | 807-810 |
Number of pages | 4 |
Journal | Physical review letters |
Volume | 25 |
Issue number | 12 |
DOIs | |
State | Published - Jan 1 1970 |
Externally published | Yes |
All Science Journal Classification (ASJC) codes
- Physics and Astronomy(all)