Correlations and néel order of randomly diluted quantum spin ladders

M. Greven, R. J. Birgeneau

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We present a Monte Carlo study of the correlation length ξ of randomly diluted antiferromagnetic spin- 1/2 two-chain Heisenberg ladders with weak and intermediate interchain couplings, J/J≤1. We are able to access the experimentally relevant low-temperature regime, T/J≈1/500, and find (i) that the form ξ(z, T) = A(z) + B(z)T, with ν = 0.40(5), describes our data at low and moderate dilution z and up to rather high temperatures, (ii) evidence for scaling of ξJ/J in the variable zJ/J at weak J/J, (iii) an enhancement of correlations that is strongest for a fraction z*≈J/(8J) of dilutants, and (iv) that the Néel temperature of Sr(Cu1-zZnz)2O3 corresponds well to a curve of constant correlation length ξ = 18(2) of the single diluted ladder with J/J≤1/2.

Original languageEnglish (US)
Pages (from-to)1945-1948
Number of pages4
JournalPhysical review letters
Issue number9
StatePublished - 1998


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