Interaction effects between impurities in low dimensional spin-1/2 antiferromagnets

Abstract

We are considering the interplay between several non-magnetic impurities in the spin-1/2 Heisenberg antiferromagnet in chains, ladders and planes by introducing static vacancies in numerical quantum Monte Carlo simulations. The effective potential between two and more impurities is accurately determined, which gives a direct measure of the quantum correlations in the systems. Large effective interaction potentials are an indication of strong quantum correlations in the system and reflect the detailed nature of the valence bond ground states. In two-dimensions (2D) the interactions are smaller, but can still be analyzed in terms of valence bonds.

8 pages, 6 figures, accepted by Europhys. Lett. The latest pdf file is available at http://www.physik.uni-kl.de/eggert/papers/interact2d.pdf

References in corpus (9)

• Resonating Valence Bond Theory of Coupled Heisenberg Chains
• Cluster Algorithm for Vertex Models
• Energetics of Domain Walls in the 2D t-J model
• Hole and Pair Structures in the t-J model
• Low-Temperature Properties of the Randomly Depleted Heisenberg Ladder
• Enhancement of Antiferromagnetic Correlations Induced by Nonmagnetic Impurities: Origin and Predictions for NMR Experiments
• On the Internal Structure of the Singlet d${}_{X^2-Y^2}$ Hole Pair in an Antiferromagnet
• Spin ladders with nonmagnetic impurities
• Spin 1/2 Magnetic Impurity in a 2D Magnetic System Close to Quantum Critical Point

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• Magnetic responses of randomly depleted spin ladders
• Spin wave calculation of the field-dependent magnetization pattern around an impurity in Heisenberg antiferromagnets
• 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
• Nonlinear sigma model of a spin ladder containing a static single hole
• Spin-$S$ impurities with XXZ anisotropy in a spin-1/2 Heisenberg chain
• Tunable nanomagnetism in moderately cold fermions on optical lattices