Date of this Version
Physical Review Letters
The exact solution is presented for the "susceptibility," χ (the number of sites covered by the maximally extended eigenfunction), for the zero-energy solutions of a hopping model on a randomly dilute Cayley tree. If p is the concentration, then χ~(p*−p)−1 with p*~pce1/ξ1, where pc is the critical percolation concentration and ξ1 the one-dimensional localization length. This result is argued to hold for the dilute quantum Heisenberg antiferromagnet at zero temperature.
Harris, A. (1982). Exact Solution of a Model of Localization. Physical Review Letters, 49 (4), 296-299. http://dx.doi.org/10.1103/PhysRevLett.49.296
Date Posted: 12 August 2015
This document has been peer reviewed.