Numerical analysis of the bond-random antiferromagnetic S = 1 Heisenberg chain

Yoshihiro Nishiyama

doi:10.1016/S0378-4371(97)00616-X

Numerical analysis of the bond-random antiferromagnetic S = 1 Heisenberg chain

Yoshihiro Nishiyama

Research output: Contribution to journal › Article › peer-review

17 Citations (Scopus)

Abstract

The ground state of the bond-random antiferromagnetic S = 1 Heisenberg chain with the biquadratic interaction -β∑_i(S_i · S_i+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
DOIs	https://doi.org/10.1016/S0378-4371(97)00616-X
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

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10.1016/S0378-4371(97)00616-X

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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.",

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AU - Nishiyama, Yoshihiro

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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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Numerical analysis of the bond-random antiferromagnetic S = 1 Heisenberg chain

Abstract

Keywords

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