Study of the Hysteretic Response with Dilution and Quenched Spins in the Low Disorder Limit of the Random Field 3-State Clock Model at Zero Temperature

We analytically investigate the zero-temperature hysteresis loops in a one-dimensional 3-state clock model in the low disorder limit, incorporating dilution and quenched spins. Utilizing a probabilistic approach with continuous random fields, we study the behavior of the model at nearly zero frequency limit of the applied field and confirming our analytical results via simulations. Dilution reproduces distorted hysteresis loop shapes akin to those in geological magnetic rocks, while quenched spins significantly contribute to hysteresis loop asymmetry.