Physics – Condensed Matter – Materials Science
Scientific paper
1998-08-21
Physics
Condensed Matter
Materials Science
34 pages, LateX, 4 figures Rport-no: TAU9
Scientific paper
10.1007/s100510050719
The effect of quenched random ferromagnetic bonds on the antiferromagnetic correlation length of a two--dimensional Heisneberg model is studied, applying the renormalization group method to the classical non--linear sigma model with quenched random dipole moments. It is found that the antiferromagnetic long range order is destroyed for any non--zero concentration, of the dipolar defects, even at zero temperature. Below a line T ~ concentration, the correlation length is independent of T, and decreases exponentially with concentration. At higher temperatures, itdecays exponentially with an effective stiffness constant which decreases with concentration/T. The results are used to estimate the three--dimensional N\'{e}el temperature, which decays linearly with $x$ at small concentrations, and drops precipitously at a critical concentration. These predictions are compared with experiments on doped copper oxides, and are shown to reproduce successfully some of the prominent features of the data.
Aharony Amnon
Cherepanov Vladimir
Entin-Wohlman Ora
Korenblit Ya. I.
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