Preface

Brunel, Isambard

doi:10.1017/cbo9780511793974.001

Cited by 2 publications

(2 citation statements)

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“…Here the Haldane gap is perturbatively insensitive to disorder as naively expected. This is known from bosonization studies of the spin-1/2 two-leg ladder [12] as well as of the anisotropic spin-1 chain [13]. So we may be in a situation with a first critical disorder strength corresponding to the vanishing of Haldane gap but which is unreachable by the real-space scheme.…”

Section: B Approximate Flow Equations Phasementioning

confidence: 98%

Phases of random antiferromagnetic spin-1 chains

1998

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We formulate a real-space renormalization scheme that allows the study of the effects of bond randomness in the Heisenberg antiferromagnetic spin-1 chain. There are four types of bonds that appear during the renormalization flow. We implement numerically the decimation procedure. We give a detailed study of the probability distributions of all these bonds in the phases that occur when the strength of the disorder is varied. Approximate flow equations are obtained in the weak-disorder regime as well as in the strong disorder case where the physics is that of the random singlet phase. 75.10.Jm, 75.20.Hr

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Section: B Approximate Flow Equations Phasementioning

confidence: 98%

Phases of random antiferromagnetic spin-1 chains

1998

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“…The 1/τ 2 power law was first derived in [ 8], without consideration of logarithmic corrections. The discussion of the linear power-law in 1/T 1 , resulting from performing the Fourier transform, was first discussed, as far as we know, in [ 18]. These authors also attempted to calculate the logarithmic correction.…”

Section: Correlation Functions and 1/t1mentioning

confidence: 99%

Logarithmic corrections in quantum impurity problems

Affleck

Qin

1999

J. Phys. A: Math. Gen.

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The effect of a bulk marginal operator on boundary critical phenomena in two space-time dimensions is considered. The particular case of an open S=1/2 antiferromagnetic Heisenberg chain, corresponding to a Wess-Zumino-Witten non-linear σ model, is solved. In this case, the needed renormalization group coefficient is associated with a novel operator product expansion in which three operators approach the same point. Resulting logarithmic corrections occurring in finite size calculations and nuclear magnetic resonance experiments are discussed. PACS number 75.10.Jm

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Preface

Cited by 2 publications

References 0 publications

Phases of random antiferromagnetic spin-1 chains

Phases of random antiferromagnetic spin-1 chains

Logarithmic corrections in quantum impurity problems

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