Critical behaviors of transverse crystal field and bimodal magnetic field mixed spin Ising model with bond dilution or bond percolation threshold

• The A-type double TCPs and zigzag reentrant phenomena exist or disappear at pure bond status or bond dilution.
• The positive transverse crystal field can induce ordering phase at ordinary bond percolation threshold.
• The bimodal magnetic field can suppress the induced ordering phase and form a series of closed ordering regions.
• An extraordinary bond percolation threshold is determined, at which the induced ordering phase vanishes completely.
• Both ordinary and extraordinary bond percolation threshold become large at the same time due to the role of h/Jh/J.

Within the effective field theory, we investigate critical behaviors of transverse crystal field and bimodal magnetic field mixed spin-1/2 and spin-1 Ising model with bond dilution or percolation threshold on a simple cubic lattice. A-type double tricritical points and zigzag reentrant phenomenon can be found at pure bond and large bimodal magnetic field status. The ordered phase is impaired sharply due to bond dilution. The positive transverse crystal field can induce ordered phase at ordinary bond percolation threshold. The bimodal magnetic field can suppress the induced ordered phase and form a series of closed ordered regions. An extraordinary bond percolation threshold is determined, at which the induced ordered phase vanishes completely. The different effects of bimodal magnetic field and bond percolation threshold on induced ordered phase are discussed.