Muon-spin-rotation and relaxation studies have been performed on
(CH3)2CHNH3Cu(ClxBr1−x)3 with x=0.85 and 0.95, which are
solid solutions of the two isomorphic spin-gap systems
(CH3)2CHNH3CuCl3 and (CH3)2CHNH3CuBr3 with different
spin gaps. The sample with x=0.85 showed a clear muon spin rotation under
zero-field below TN=11.65K, indicating the existence of a long-range
antiferromagnetic order. A critical exponent of the hyperfine field was
obtained to be β=0.33, which agrees with 3D-Ising model. In the other
sample with x=0.95, an anomalous enhancement of the muon spin relaxation was
observed at very low temperatures indicating a critical slowing down due to a
magnetic instability of the ground state