Evolution of Spin and Field Dependences of the Effective Mass with Pressure in $\mathrm{C}\mathrm{e}\mathrm{I}{\mathrm{n}}_3$

We have studied the field and spin dependences of the effective masses in ${\mathrm{C}\mathrm{e}\mathrm{I}\mathrm{n}}_3$ as a function of pressure via the de Haas–van Alphen (dHvA) effect. The effective mass increases with the field at pressures up to about 10 kbar and then decreases with the field. The spin direction of the dominant dHvA oscillation is likely to be reversed across the same pressure. The dHvA frequency changes significantly at the pressure $P_c$ for the antiferromagnetic quantum critical point and two neighboring pressures $P_2$ and $P_4$ below and above $P_c$. The spin and field dependences rapidly diminish across $P_c$ and finally disappear above $P_4$. These observations are discussed in conjunction with relevant observations and theories.

Figure 1

The $d$ oscillation at various temperatures (upper panel) and the effective mass (lower panel) as a function of magnetic field.

Figure 2

Top panel: frequencies of $d$ (open circle), $X_1$ (open triangle), and $X_2$ (open square). Middle panel: low (closed circle) and high field (open circle) EM’s of $d$. Bottom panel: normalized signal amplitudes of $d$ (open circle), $X_1$ (closed triangle), and $X_2$ (open square) as a function of pressure. The broken line is a guide to the eye.

Figure 3

The dHvA oscillations observed at (a) 0 kbar and 30 mK, (b) 16.9 kbar and 0.3 K, and (c) 30.6 kbar and 0.3 K. The insets show the dHvA waveforms at three different temperatures. The short beat of the oscillations in (c) arises from the interference between $d$ and $X_1$.