“…The electronic structures were then re-evaluated using the screened exchange hybrid density functional, HSE, 47,48 which has been tested in a wide variety of materials and has been shown to accurately reproduce experimental band gaps 49,50 and first and second optical excitation energies in metallic and semiconducting SWNTs. 51,52 Furthermore, the inclusion of shortrange exact-exchange in the HSE functional makes it suitable to treat electronic localization effects 53,54,55,56,57 which are known to be important in this type of materials. 18,19,20,21,22,23,24,25,26,27,28,37,58,59,60,61,62,63 We start by studying the relative stability of the different oxidized ribbons.…”