  The interplay between entropy transport and charge carriers-paramagnon
interaction in the Onsager linear system has been a subject of debate due to
the limited theoretical and experimental understanding of paramagnon heat
capacity. In this study, we investigate this interplay in an anisotropic
layered magnetic system using cluster mean-field theory with spin quantum
correlations. By examining spin correlation functions between different spins
with various types of clustering, we derive the spin correlation function as a
function of distance and temperature for the inter-layer clusters both below
and above the magnetic order phase transition. Our analysis reveals that
paramagnons characterized by pronounced spin correlations among inter-layer
nearest-neighbor spins exhibit a non-zero heat capacity, providing valuable
insights into the dynamics of entropy transport. The findings align with
experimental observations, lending strong support to the validity of the
paramagnon drag thermopower concept. This study sheds light on the intricate
dynamics and thermodynamic properties of paramagnons, advancing our
understanding of entropy transport in complex systems.
