Herein, doped yttrium garnet (YIG) nanoparticles (NPs)
normalY
3
false[
F
normale
2
−
y
M
y
false]
a
false(
F
normale
3
−
z
M
z
false)
d
normalO
12
(
M
=
Al, Ga, Sc are nonmagnetic ions) are studied, appropriate for self‐controlled magnetic hyperthermia (SCMH) for in vivo and in vitro applications. A microscopic model (modified Heisenberg Hamiltonian) and the Green's function technique are used to investigate the temperature, doping, and size dependence of magnetic phase transition, saturation magnetization, the coercivity, and the specific absorption rate coefficient to fulfill the conditions for magnetic hyperthermia. A set of mixed yttrium garnet magnetic NPs is found, which are suitable for applications in medicine for cancer therapy. There are two Sc‐doped YIG NPs which are the best candidates for SCMH with x = 1.08, d = 27.5 nm, and
SAR
max
= 13.52
W
normalg
−
1
,
as well as x = 1.10, d = 29.7 nm, and
SAR
max
= 15.44
W
normalg
−
1
for which the conditions for biocompatibility and maximization of
SAR
are fulfilled simultaneously. Moreover, also Al‐ and Ga‐doped YIG NPs are found that can be applied for magnetic hyperthermia but with smaller
SAR
effectivity.