Scalar Field Models of Barrow Holographic Dark Energy in f(R,T) Gravity

This research study investigates Barrow holographic dark energy with an energy density of rho lambda=CH2-delta by considering the Hubble horizon as the IR cut-off in the f(R,T) gravity framework. We employ Barrow holographic dark energy to obtain the equation of the state for the Barrow holographic energy density in a flat FLRW Universe. Concretely, we study the correspondence between quintessence, k-essence, and dilation scalar field models with the Barrow holographic dark energy in a flat f(R,T) Universe. Furthermore, we reconstruct the dynamics and potential for all these models for different values of the Barrow parameter: delta. Via this study, we can show that for Barrow holographic quintessence, k-essence, and dilation scalar field models, if the corresponding model parameters satisfy some limitations, the accelerated expansion can be achieved.