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We present a Quantum Monte Carlo study for Heisenberg spin-1/2 two leg laddersystems doped with non magnetic impurities. The simulations are applied to thedoped spin ladder compound SrCu2O3 doped with Zn, where a large broadening ofthe 65Cu NMR lines has been observed in experiment at low temperatures but farabove the Neel temperature. We find that interladder-couplings with a sizeablecoupling in stacking direction are required to describe the line broadening,which can not be explained by considering a single ladder only. Around a singleimpurity, spin correlations cause an exponentially decaying antiferromagneticlocal magnetization in a magnetic field. We develop an effective model for thelocal magnetization of systems with many randomly distributed impurities, withfew parameters which can be extracted out of QMC calculations with a singleimpurity. The broadening arises from a drag effect, where the magnetizationaround an impurity works as an effective field for spins on the neighboringladders, causing a non-exponentially decaying magnetization cloud around theimpurity. Our results show that even for impurity concentrations as small as x= 0.001 and x = 0.0025, the broadening effect is large, in good quantitativeagreement with experiment. We also develop a simple model for the effectiveinteraction of two impurity spins.

physical review. b, condensed matter and materials physics

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