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We investigated the magnetic ground state and low-energy excitations of thespin chains compounds SrCuO$_{2}$ (zigzag chains) and Sr$_{2}$CuO$_{3}$ (linearchains) in the presence of quantum impurities induced by lightly doping ($\leq1 \%$) with Zn$^{2+}$ ($S = 0$), Co$^{2+}$ ($S =1/2$) and Ni$^{2+}$ ($S = 1$)impurities at the Cu$^{2+}$ site. We show that the ground states and the natureof low-lying excitations (i.e., gapped or gapless) depend on the spin state andsymmetry of the defects. For Ni doped chains a spin gap is observed but for Znand Co doping the excitations remain gapless. Co-doped chains exhibit magneticorder with critical temperatures significantly enhanced compared to those ofthe pristine compounds. In the specific case of 1 \% Co impurities, the linearchains exhibit long-range order below 11 K, while the zigzag chain ischaracterized by a quasi-long range ordered phase below 6 K with correlationlengths of about 12\textit{a} and 40\textit{c} units along the crystal axes\textit{a} and \textit{c}, respectively. The different magnetic behaviours ofthese two compounds with comparable intra- and interchain couplings underpinthe role of spin frustration in the zigzag chains.

Effects of quantum impurity spins on the magnetic properties of zigzag and linear spin chains