  Two new carbon allotropes (H-carbon and S-carbon) are proposed, as possible
candidates for the intermediate superhard phases between graphite and diamond
obtained in the process of cold compressing graphite, based on the results of
first-principles calculations. Both H-carbon and S-carbon are more stable than
previously proposed M-carbon and W-carbon and their bulk modulus are comparable
to that of diamond. H-carbon is an indirect-band-gap semiconductor with a gap
of 4.459 eV and S-carbon is a direct-band-gap semiconductor with a gap of 4.343
eV. The transition pressure from cold compressing graphite is 10.08 GPa and
5.93 Gpa for H-carbon and S-carbon, respectively, which is in consistent with
the recent experimental report.
