An electrostatic clamp (ESC), system, and method for clamping a workpiece is provided. A clamping plate of the ESC has central disk and an annulus encircling the central disk, wherein the central disk is recessed from the annulus by a gap distance, therein defining a volume. Backside gas delivery apertures are positioned proximate to an interface between the annulus and the central disk. A first voltage to a first electrode of the annulus clamps a peripheral region of the workpiece to a first layer. A second voltage to a second electrode of the central disk generally compensates for a pressure of a backside gas within the volume. The ESC can be formed of J-R- or Coulombic-type materials. A cooling plate associated with the clamping plate further provides cooling by one or more cooling channels configured to route a cooling fluid therethrough.