  In this work, we examine the cosmological characteristics of the Power Law
Entropy Corrected Holographic Dark Energy (PLECHDE) model with infrared (IR)
cut-off, which is determined by the curvature parameter $k$, the time
derivative of $H$, and the average radius of the Ricci scalar curvature $R$,
which varies with the Hubble parameter $H$ squared. We obtain the deceleration
parameter $q$ and the Equation of State (EoS) parameter of Dark Energy (DE)
$\omega_D$. Additionally, we derive the Hubble parameter $H$ and the scale
factor $a$ expressions as functions of the cosmic time $t$. Additionally, we
examine the limiting scenario that pertains to a flat Dark Dominated Universe.
Furthermore, we establish a correspondence between the DE model considered and
some scalar fields, in particular the Generalized Chaplygin Gas, the Modified
Chaplygin Gas, the Modified Variable Chaplygin Gas, the New Modified Chaplygin
Gas, the Viscous Generalized Chaplygin Gas, the Dirac-Born-Infeld, the
Yang-Mills, and the Non Linear Electrodynamics scalar field models.
