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 |
|---|---|
| Pages (from-to) | 35-47 |
| Number of pages | 13 |
| Journal | Physica A: Statistical Mechanics and its Applications |
| Volume | 252 |
| Issue number | 1-2 |
| Publication status | Published - Apr 1 1998 |
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Keywords
- Bond randomness
- Exact-diagonalization method
- Haldane phase
- Random-singlet phase
ASJC Scopus subject areas
- Mathematical Physics
- Statistical and Nonlinear Physics
Cite this
Numerical analysis of the bond-random antiferromagnetic S = 1 Heisenberg chain. / Nishiyama, Yoshihiro.
In: Physica A: Statistical Mechanics and its Applications, Vol. 252, No. 1-2, 01.04.1998, p. 35-47.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Numerical analysis of the bond-random antiferromagnetic S = 1 Heisenberg chain
AU - Nishiyama, Yoshihiro
PY - 1998/4/1
Y1 - 1998/4/1
N2 - 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.
AB - 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.
KW - Bond randomness
KW - Exact-diagonalization method
KW - Haldane phase
KW - Random-singlet phase
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UR - http://www.scopus.com/inward/citedby.url?scp=0346907965&partnerID=8YFLogxK
M3 - Article
AN - SCOPUS:0346907965
VL - 252
SP - 35
EP - 47
JO - Physica A: Statistical Mechanics and its Applications
JF - Physica A: Statistical Mechanics and its Applications
SN - 0378-4371
IS - 1-2
ER -