Abstract
We compare the reversible and irreversible magnetic properties of superconducting carbon doped and undoped $\mathrm{Mg}{\mathrm{B}}_{2}$ single crystals before and after neutron irradiation. A large number of samples with transition temperatures between 38.3 and $22.8\phantom{\rule{0.3em}{0ex}}\mathrm{K}$ allows us to study the effects of disorder systematically. Striking similarities are found in the modification of the reversible parameters by irradiation and doping, which are discussed in terms of impurity scattering and changes of the Fermi surface. The irreversible properties are influenced by two counteracting mechanisms: they are enhanced by the newly introduced pinning centers but degraded by changes in the thermodynamic properties. Accordingly, the large neutron induced defects and the small defects from carbon doping lead to significantly different effects on the irreversible properties. Finally, the fishtail effect caused by all kinds of disorder is discussed in terms of an order-disorder transition of the flux-line lattice.
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