Correlations and Néel Order of Randomly Diluted Quantum Spin Ladders

Abstract

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, $J_{\perp }/J\le 1$, we find an enhancement of correlations that is strongest for a fraction $z^{\ast }\approx J_{\perp }/(8J)$ of dilutants. We are able to access the experimentally relevant low--temperature regime, $T/J\approx 1/500$, and find that the recently inferred Néel temperature of $Sr(C{u}_{1-z}Z{n}_z{)}_2{O}_3$ 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 Néel ordering is argued to be a strong enhancement of two--dimensional correlations due to a Cu--Sr--Cu exchange coupling of $\approx 10meV$ in the stacking direction of the ladders.

4 pages, 4 EPS figures

References in corpus (1)

• The Square-Lattice Heisenberg Antiferromagnet at Very Large Correlation Lengths

Cited by in corpus (19)

• Defects in correlated metals and superconductors
• Quantum Impurities in the Two-Dimensional Spin One-Half Heisenberg Antiferromagnet
• Monte Carlo Study of the S=1/2 and S=1 Heisenberg Antiferromagnet on a Spatially Anisotropic Square Lattice
• Supplementary material for "Impurity-induced magnetic order in low dimensional spin gapped materials"
• Magnetic properties of the S=1/2 quasi-one-dimensional antiferromagnet CaCu2O3
• Quantum vs. Geometric Disorder in a Two-Dimensional Heisenberg Antiferromagnet
• Quantum percolation in two-dimensional antiferromagnets
• Numerical renormalization-group study of spin correlations in one-dimensional random spin chains
• Thermodynamics of Random Ferromagnetic Antiferromagnetic Spin-1/2 Chains
• Quantum disorder and Griffiths singularities in bond-diluted two-dimensional Heisenberg antiferromagnets
• Neutron Scattering, Magnetometry, and Quantum Monte Carlo Study of the Randomly-Diluted Spin-1/2 Square-Lattice Heisenberg Antiferromagnet
• Dynamic structure factor of disordered quantum spin ladders
• Magnetic responses of randomly depleted spin ladders
• Two-magnon Raman scattering in spin-ladder geometries and the ratio of rung and leg exchange constants
• 63Cu NQR evidence of dimensional crossover to anisotropic 2d regime in S= 1/2 three-leg ladder Sr2Cu3O5
• Bond Randomness Induced Magnon Decoherence in a Spin-1/2 Ladder Compound
• Correlations in Quantum Spin Ladders with Site and Bond Dilution
• Quantum Monte Carlo Simulations for Stacked Spin Ladder Systems Containing Low Concentrations of Non-Magnetic Impurities; Application to the Low Temperature Broadening of NMR-Spectra in SrCu2O3
• Criticality in coupled quantum spin-chains with competing ladder-like and two-dimensional couplings