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The magnetic-field-induced variations of the microwave surface resistance,R_s, have been investigated in ceramic Mg_{1-x}(LiAl)_xB_2, with x in the range0.1 - 0.4. The measurements have been performed on increasing and decreasingthe DC magnetic field, H_0, at fixed temperatures. At low temperatures, we haveobserved a magnetic hysteresis in the R_s(H_0) curves in all the investigatedsamples. On increasing the temperature, the range of H_0 in which thehysteretic behavior is visible shrinks; however, in the sample with x = 0.1 itis present up to temperatures close to T_c. We show that the field dependenceof R_s can be quantitatively justified taking into account the critical-stateeffects on the fluxon lattice only in the sample with x = 0.4. On the contrary,in the samples with x < 0.4 the hysteresis exhibits an unusual shape, similarto that observed in others two-gap MgB_2 samples, which cannot be justified inthe framework of the critical-state models.

Fluxon dynamics in Li-Al codoped MgB2 by microwave surface resistance measurements