  Within the framework of the Kondo-Heisenberg model, we analyse the effect of
charge fluctuation on the modulated spin liquid (MSL) and antiferromagnetic
(AF) orders which were established in a previous publication. We discuss the
emergence of two quantum critical lines separating the coexisting Kondo-MSL and
Kondo-MSL-AF phases. The various order parameters of the system possess a
characteristic signature observable on the electronic band structure of each of
the phases. We calculate that the MSL order is indeed a possible explanation of
the hidden order phase of $URu_{2}Si_{2}$ heavy fermion compound. Our model
produces results in qualitative agreement with the experimental (T,P) phase
diagram and the two gap openings in the system and quantitative agreement with
the entropy and Sommerfeld coefficient evolution.
