Physics – Condensed Matter – Strongly Correlated Electrons
Scientific paper
1999-11-11
Phys. Rev. Lett. 84, 2044 (2000).
Physics
Condensed Matter
Strongly Correlated Electrons
A comment on PRL 83, 3297 (1999). One page
Scientific paper
10.1103/PhysRevLett.84.2044
In a recent Letter (PRL 83, 3297 (1999)), Hida presented numerical results indicating that the Haldane phase of the Heisenberg antiferromagnetic spin-1 chain is stable against bond randomness, for box distributions of the bond strength, even when the box distribution stretches to zero bond strength. The author thus concluded that the Haldane phase is stable against bond randomness for any distribution of the bond strength, no matter how broad. In this Comment, we (i) point out that the randomness distributions studied in this Letter do not represent the broadest possible distributions, and therefore these numerical results do not lead to the conclusion that the Haldane phase is stable against any randomness; and (ii) provide a semiquantitative estimate of the critical randomness beyond which the Haldane phase yields to the Random Singlet phase, in a specific class of random distribution functions for the bond strength.
Hyman R. A.
Yang Kun
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