Abstract
The ground state of the bond-random antiferromagnetic S = 1 Heisenberg chain with the biquadratic interaction -β∑i(Si · Si+1)2 is investigated by means of the exact-diagonalization method and the finite-size-scaling analysis. It is shown that the Haldane phase β ≈ 0 persists against the randomness; namely, no randomness-driven phase transition is observed until at a point of extremely broad-bond distribution. We found that in the Haldane phase, the magnetic correlation length is kept hardly changed. These results are contrastive to those of an analytic theory which predicts a second-order phase transition between the Haldane and the random-singlet phases at a certain critical randomness.
Original language | English |
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Pages (from-to) | 35-47 |
Number of pages | 13 |
Journal | Physica A: Statistical Mechanics and its Applications |
Volume | 252 |
Issue number | 1-2 |
DOIs | |
Publication status | Published - Apr 1 1998 |
Keywords
- Bond randomness
- Exact-diagonalization method
- Haldane phase
- Random-singlet phase
ASJC Scopus subject areas
- Statistics and Probability
- Condensed Matter Physics