Fig. 1
From: Scaling and data collapse from local moments in frustrated disordered quantum spin systems
Heat capacity scaling function F0[T/H] and its q = 1, 2 modification by level repulsion. The heat capacity C[H, T] for q = 0 random singlets (shown with integrated energy distribution \({\int} {P[E] = (E{\mathrm{/\Lambda }})^{1 - \gamma }}\) at γ = 0.5, blue) exhibits scaling collapse in T/H with T-linear form at \(T \ll H\). This is easily understood (bottom inset). A spin–1/2 pair with singlet-triplet splitting J acquires a resonance in magnetic fields H ≈ J, contributing to C[H, T] when |J − H| < kBT. The scaling is modified when spin-orbit coupling and lattice symmetries combine into DM interactions with singlet-triplet mixing: the resulting level repulsion changes the resonance condition ΔE < kBT to produce T-scaling with higher powers, as in the q = 1 line shown (gray)
