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We investigate the chiral restoration at finite temperature $(T)$ under thestrong external magnetic field $\vec{B}=B_{0}\hat{z}$ of the SU(2) light-flavorQCD matter. We employ the instanton-liquid QCD vacuum configuration accompaniedwith the linear Schwinger method for inducing the magnetic field. TheHarrington-Shepard caloron solution is used to modify the instanton parameters,i.e. the average instanton size $(\bar{\rho})$ and inter-instanton distance$(\bar{R})$, as functions of $T$. In addition, we include the meson-loopcorrections (MLC) as the large-$N_{c}$ corrections because they are criticalfor reproducing the universal chiral restoration pattern. We present thenumerical results for the constituent-quark mass as well as chiral condensatewhich signal the spontaneous breakdown of chiral-symmetry (SB$\chi$S), asfunctions of $T$ and $B$. Besides we find that the changes for the $F_\pi$ and$m_\pi$ due to the magnetic field is relatively small, in comparison to thosecaused by the finite $T$ effect.

QCD Chiral restoration at finite $T$ under the Magnetic field: Studies based on the instanton vacuum model