  Following the holographic principle, which suggests that the energy density
of dark energy may be proportional inversely to the area of the event horizon
of the Universe, we have proposed a new energy density of dark energy through
the acceleration of particle horizon scaled by the length of this parameter.
This model depends only on one free parameter beta=0-1.99. For beta's near
zero, the deviation of the model compared with the Lambda CDM model is tangible
while for values beta=1.99, the suggested model has no conflict with Lambda CDM
theory. Regardless of the value of beta, the model presents dark energy that
behaves such as matter with positive pressure in high redshifts =0.33, while
for present and near-future Universe treats like the cosmological constant
model and phantom field. Comparing the model with Ricci dark energy illustrates
our model alleviates Ricci dark energy errors in calculating the age of old
supernovae and the evolution of different cosmic components in high redshifts.
Moreover, we have calculated matter structure formation parameters such as CMB
temperature and matter power spectrum of the model to consider the effects of
matter-like dark energy during the matter-dominated era.

General Relativity and Quantum Cosmology