Nanowire and larger, post-based HEMTs, arrays of such HEMTs, and methods for their manufacture are provided. In one embodiment, a HEMT can include a III-N based core-shell structure including a core member (e.g., GaN), a shell member (e.g., AlGaN) surrounding a length of the core member and a two-dimensional electron gas (2-DEG) at the interface therebetween. The core member including a nanowire and/or a post can be disposed over a doped buffer layer and a gate material can be disposed around a portion of the shell member. Exemplary methods for making the nanowire HEMTs and arrays of nanowire HEMTs can include epitaxially forming nanowire(s) and epitaxially forming a shell member from each formed nanowire. Exemplary methods for making the post HEMTs and arrays of post HEMTs can include etching a III-N layer to form III-N post(s) followed by formation of the shell member(s).