Comment on ``Density Matrix Renormalization Group Study of the Haldane Phase in Random One-Dimensional Antiferromagnets"

Abstract

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.

A comment on PRL 83, 3297 (1999). One page

References in corpus (3)

• Density Matrix Renormalization Group Study of the Haldane Phase in Random One-Dimensional Antiferromagnets
• Phases of random antiferromagnetic spin-1 chains
• Numerical Analysis of the Bond-Random Antiferromagnetic S=1 Heisenberg Chain

Cited by in corpus (16)

• Strong disorder RG approach of random systems
• Dynamics and transport in random quantum systems governed by strong-randomness fixed points
• Strongly disordered spin ladders
• Crossover effects in the random exchange spin-1/2 antiferromagnetic chain
• Griffiths Effects in Random Heisenberg Antiferromagnetic S=1 Chains
• Ground state of the random-bond spin-1 Heisenberg chain
• Uniform Magnetic Order in a Ferromagnetic-Antiferromagnetic Random Alternating Quantum Spin Chain
• Disorder Induced Phases in Higher Spin Antiferromagnetic Heisenberg Chains
• The antiferromagnetic order in an F-AF random alternating quantum spin chain : (CH_3)_2 CHNH_3 Cu(Cl_x Br_{1-x})_3
• Disorder-induced phases in the S=1 antiferromagnetic Heisenberg chain
• Analytical and numerical studies of disordered spin-1 Heisenberg chains with aperiodic couplings
• Bond-randomness-induced Neel order in weakly coupled antiferromagnetic spin chains
• Schmidt gap in random spin chains
• Randomness-driven quantum phase transition in bond-alternating Haldane chain
• Griffiths-McCoy singularities in random quantum spin chains: Exact results
• Renormalization-group investigation of the S=1 random antiferromagnetic Heisenberg Chain