A model for carbon nanotube-DNA hybrid using one-dimensional density of states

► We developed a continuum model for a CNT-DNA hybrid in an electrolyte solution. ► Different cores of the CNTs are distinguished using the one-dimensional density of states. ► Electric potential for metallic CNT-DNA hybrids can be significantly smaller. ► One-dimensional density of states can describe the essential electrostatics of the CNT-DNA hybrids in solution.