Department of Physics Papers

Document Type

Journal Article

Date of this Version

7-26-1982

Publication Source

Physical Review Letters

Volume

49

Issue

4

Start Page

296

Last Page

299

DOI

10.1103/PhysRevLett.49.296

Abstract

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.

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Date Posted: 12 August 2015

This document has been peer reviewed.