Correlations and Néel Order of Randomly Diluted Quantum Spin Ladders

Details Correlations and Néel Order of Randomly Diluted Quantum Spin Ladders Correlations and Néel Order of Randomly Diluted Quantum Spin Ladders

1998-03-05

arxiv.org/abs/cond-mat/9803064v1

Physics

Condensed Matter

Strongly Correlated Electrons

4 pages, 4 EPS figures

Scientific paper

10.1103/PhysRevLett.81.1945

We present a Monte Carlo study of the correlation length $\xi$ of randomly diluted antiferromagnetic Heisenberg ladders, composed of two spin--1/2 chains. For weak and intermediate inter--chain couplings, $J_{\bot}/J \leq 1$, we find an enhancement of correlations that is strongest for a fraction $z^* \approx J_{\bot}/(8J)$ of dilutants. We are able to access the experimentally relevant low--temperature regime, $T/J \approx 1/500$, and find that the recently inferred N\'eel temperature of $Sr(Cu_{1-z}Zn_z)_2O_3$ corresponds to a curve of constant correlation length $\xi \approx 18$ of the single diluted ladder with $J_{\bot}/J \alt 1/2$. The primary reason for the N\'eel ordering is argued to be a strong enhancement of two--dimensional correlations due to a Cu--Sr--Cu exchange coupling of $\approx 10 meV$ in the stacking direction of the ladders.

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