Absence of Diffusion in Certain Random Lattices

Phys. Rev. 109, 1492 – Published 1 March 1958
P. W. Anderson

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.

DOI: http://dx.doi.org/10.1103/PhysRev.109.1492

  • Received 10 October 1957
  • Published in the issue dated March 1958

© 1958 The American Physical Society

Authors & Affiliations

P. W. Anderson

  • Bell Telephone Laboratories, Murray Hill, New Jersey

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