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The electrocaloric effect (ECE) of BaZr$_{x}$Ti$_{1-x}$O$_3$ (BZT) is closelyrelated to the relaxor state transition of the materials. This work presents asystematic study on the ECE and the state transition of the BZT, using acombined canonical and microcanonical Monte Carlo simulations based alattice-based on a Ginzburg-Landau-type Hamiltonian. For comparison andverification, experimental measurements have been carried on BTO and BZT($x=0.12$ and $0.2$) samples, including the ECE at various temperatures, domainpatterns by Piezoresponse Force Microscopy at room temperature, and the P-Eloops at various temperatures. Results show that the dependency of BZT behaviorof the Zr-concentration can be classified into three different stages. In thecomposition range of $ 0 \leq x \leq 0.2 $, ferroelectric domains are visible,but ECE peak drops with increasing Zr-concentration harshly. In the range of $0.3 \leq x \leq 0.7 $, relaxor features become prominent, and the decrease ofECE with Zr-concentration is moderate. In the high concentration range of $ x\geq 0.8 $, the material is almost nonpolar, and there is no ECE peak visible.Results suggest that BZT with certain low range of Zr-concentration around$x=0.12 \sim 0.3 $ can be a good candidate with relatively high ECE andsimutaneously wide temperature application range at rather low temperature.

State transition and electrocaloric effect of BaZr$_{x}$Ti$_{1-x}$O$_3$: simulation and experiment