Fig. 3: Uniform magnetic susceptibility of TmMgGaO4 and scaling analysis.
From: Evidence of the Berezinskii-Kosterlitz-Thouless phase in a frustrated magnet
a dc susceptibility χ as functions of temperatures under small out-of-plane (H//c) and in-plane (H//ab) fields. The latter is multiplied by a factor of 20 for visualizing purpose. The deviation of data below 2 K indicates the entry to the BKT phase and the field-suppression of magnetic correlations. b The differential susceptibility dM/dH under out-of-plane fields at different temperatures. The kinks at low fields, as denoted by the down arrows, suggest the transition from the BKT-like phase to the ordered phase (under the dome in Fig. 1) with increasing fields. The peaked features at high fields suggests a quantum phase transition to the polarized phase. c Fits of dM/dH to the power-law scaling function dM/dH ~ H−α with α = 2/3 for the 0.4 and 0.8 K data, and α = 0.123 for 2.1 K data in the log-log scale. The 3 K data follow the α = 0 line in the paramagnetic phase. d dM/dH by the QMC calculations in the same field and temperature range as in c, and fits to the power-law function with exponents α, which give consistent results as experiments.
