-Nanopores made with low dimensional semiconducting materials, such as carbon nanotubes and graphene slit pores, are used in supercapacitors. In theories and simulations of their operation, it is often assumed that such pores screen ion-ion interactions like metallic pores, i.e. that screening leads to an exponential decay of the interaction potential with ion separation. By introducing a quantum capacitance that accounts for the density of states in the material, we show that ion-ion interactions in carbon nanotubes and graphene slit pores actually decay algebraically with ion separation. This result suggests a new avenue of capacitance optimization based on tuning the electronic structure of a pore: a marked enhancement in capacitance might be achieved by developing nanopores made with metallic materials or bulk semimetallic materials.Introduction. -Confinement of ions in nanostructures underpins the physics of many new electrochemical devices, ranging from supercapacitors [1] to field effect transistors [2]. These nanostructures are usually porous semiconducting materials such as carbon nanotubes or graphene slit pores. Early experiments have shown that electrodes made with porous carbide-derived-carbon deliver large volumetric capacitance as the pore-size (which can be precisely controlled) approaches the ion size [3][4][5]. This increase in capacitance cannot be rationalised by surface area enhancement alone, leading to the general hypothesis that the electronic structure of the electrodes significantly modifies the Coulomb interaction between ions [6,7].