Compensation behaviors of mixed Ising model with transverse crystal field in an external magnetic field

• Single or double temperature compensation TkTk is induced by positive transverse crystal field +Dx/J+Dx/J at zero or nonzero magnetic field.
• There is no or single TkTk in negative transverse crystal field −Dx/J−Dx/J at zero or nonzero magnetic field.
• Single magnetic compensation point hkhk is adjusted by ±Dx/J±Dx/J. The ranges of ±Dx/J±Dx/J take on an opposite tendency.
• Complex magnetization oscillation curves can be observed at low magnetic field and large ±Dx/J±Dx/J.
• The influence of transverse crystal field on the compensation point is primarily proposed.

Within the effective field theory (EFT), the compensation behaviors of mixed spin-1/2 and spin-1 Ising model with transverse crystal field in an external magnetic field are studied on a simple cubic lattice. The model exhibits two types of temperature and magnetic compensation point (TkTk and hkhk) in M−TM−T and M−hM−h space, respectively. At zero or nonzero magnetic field, the single or double TkTk is induced by positive transverse crystal field (+Dx/J+Dx/J), but not or only the single TkTk in negative crystal field (−Dx/J−Dx/J). The single hkhk is discovered and adjusted by ±Dx/J±Dx/J. A complex oscillation of magnetization curves at low magnetic field and large ±Dx/J±Dx/J can be observed. The ranges of ±Dx/J±Dx/J which can induce the hkhk take on an opposite tendency and the oscillation phenomena become weak when the temperature is up. In particular, the influence of transverse crystal field on the temperature and magnetic compensation point is primarily proposed in this work.