Abstract
We investigate the properties of the equation of state (EOS), the quark fraction, and the isospin asymmetry for strange quark matter (SQM) under constant magnetic field within the quasiparticle model. Our results indicate that the effect of the magnetic field is important for the properties of strange quark matter, and the recently discovered heavy compact stars PSR $\mathrm{J}0348+0432$, MSR $\text{J0740}+6620$, PSR $\text{J2215}+5135$, and especially the GW190814s secondary component ${m}_{2}$ can be well described as quark stars within the quasiparticle model under magnetic fields by approximately using spherically symmetric Tolman-Oppenheimer-Volkov (TOV) equations.
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