Absence of Diffusion in Certain Random Lattices

Lancaster, PA and New York, NY: American Physical Society / American Institute of Physics, 1958. First Edition. Wrappers. Very Good. First Edition. [1407]-1862 pages. Small 4to. Original publisher's blue/green printed wraps. Entire number offered. A clean copy noting minor browning to the extremities, bumped upper corner, spotting to the textblock edges and light browning to the spine panel. Bright and clean internally. Contains 'Absence of Diffusion in Certain Random Lattices' IN The Physical Review, Vol 109, Second Series, Number 5, March 1, 1958, pages 1492-1505. Wrappers. 'This paper presents a simple model for such process 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 introducted 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.' (abstract) 'One of the more subtle electronic features of real materials is the distinction between continuum electronic states and conducting electronic states. The fact that continuum electronic states in band tails might be localized was recognized by P. W. Anderson [Phys. Rev. 109, 1492 (1958)] in a paper that appeared just about the time superconductivity was being explained.' (The Physical Review, The First Hundred Years, a Selection of Seminal Papers and Commentaries, p. 621)

Also contains articles by Sudarshan and Marshak about Fermi interaction as well as Lee, Yang and others.

The Nobel Prize in Physics 1977 was awarded jointly to Philip Warren Anderson, Sir Nevill Francis Mott and John Hasbrouck van Vleck "for their fundamental theoretical investigations of the electronic structure of magnetic and disordered systems