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The magnetic flux structure in the basal plane, (001), of single crystals ofsuperconducting (R = Er) and non-superconducting (R = Tb) RNi$_2$B$_2$C wasstudied by high resolution Bitter decoration at temperatures below $T_c$(superconducting transition) and/or $T_N$ (antiferromagnetic transition). Forboth materials two sets of domain boundaries, in \{110\} and \{100\} planes,were observed. The temperature ranges in which the \{100\} domain boundarieswere observed in TbNi$_2$B$_2$C and ErNi$_2$B$_2$C coincide with the weakferromagnetic (WFM) ordering in these materials. On the other hand, the \{110\}twin boundaries - the antiferromagnetic domain boundaries - were observed inboth compounds below $T_N$. The possibility of interpretation of \{100\}boundaries as Bloch domain walls in the weakly ferromagnetic phase, for $T <T_{WFM} < T_N$ (TbNi$_2$B$_2$C) or $T < T_{WFM} < T_N < T_c$ (ErNi$_2$B$_2$C)is discussed.

physical review. b, condensed matter and materials physics

Visualization of ferromagnetic domains in TbNi$_2$B$_2$C and  ErNi$_2$B$_2$C single crystals: Weak ferromagnetism and its coexistence with  superconductivity