Scalarized black holes in the Einstein-Maxwell-scalar theory with a quasitopological term

We investigate the Einstein-Maxwell-scalar theory with a quasitopological term. Considering exponential couplings to a Maxwell term, to a quasitopological term, and to both terms, we obtain three sets of infinite scalarized charged black holes by taking into account tachyonic instability of a dyonic Reissner-Nordstr\"om black hole. Each set of infinite scalarized charged black holes is classified by the number of n=0, 1, 2, , where n=0 is called the fundamental black hole and n=1, 2, denote the n-excited black holes. All n=0 black holes are stable against the radial perturbation, while all n=1, 2 black holes are unstable.