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This paper presents the state-of-the-art technologies currently used to produce high-density integrated capacitors for power systems on-chip applications. The use of high-k dielectrics and 3-D patterning of silicon for reaching high specific capacitance is reviewed. Integrating capacitors monolithically on the active chip or in package of power systems is discussed and solutions are proposed for minimizing series resistance and achieving a high level of integration. A technology based on nanolithography and silicon electrochemical etching is then detailed. It is shown that capacitance densities of up to 700 nF/mm2 can be obtained with a submicrometer pores array in a relatively limited thickness. The advantages and disadvantages of further decreasing the pore size to nano-sized pores (below 100 nm) are discussed.