Stacking faults, bound states, and quantum Hall plateaus in crystalline graphite

We analyze the electronic properties of a simple stacking defect in Bernal graphite. We show that a bound state forms, which disperses as |k-K|³, in the vicinity of either of the two inequivalent zone corners K. In the presence of a strong c-axis magnetic field, this bound state develops a Landau-level structure which for low energies behaves as Eₙ∝|nB|3/2. We show that buried stacking faults have observable consequences for surface spectroscopy, and we discuss the implications for the three-dimensional quantum Hall effect (3DQHE). We also analyze the Landau-level structure and chiral surface states of rhombohedral graphite and show that, when doped, it should exhibit multiple 3DQHE plateaus at modest fields.