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Highly-anisotropic in-plane magneto-resistance (MR) in graphite (HOPG)samples has been recently observed (Y. Kopelevich et al., arXiv:1202.5642)which is negative and linear in low fields in some current direction while itis giant, super-linear and positive in the perpendicular direction. In theframework of the hopping conductance theory via non-zero angular momentumorbitals we link extraordinary MRs in graphite and in organic insulators (OMAR)observed in about the same magnetic fields. The theory predicts quadraticnegative MR (NMR) when there is a time-reversal symmetry (TRS), and linear NMRif TRS is broken. We argue that the observed linear NMR could be a uniquesignature of the broken TRS both in graphite and organic compounds. While somelocal paramagnetic centers are responsible for the broken TRS in organicinsulators, a large diamagnetism of our HOPG samples may involve a moreintriguing scenario of TRS breaking.

Extraordinary magnetoresistance of organic semiconductors : Hopping conductance via non-zero angular momentum orbitals