Figure 1

Transmission of a thin graphite specimen measured at magnetic field tilted by $\varphi =0,15$, and ${30}^{\circ }$ with respect to the $c$ axis of graphite. Values nearby individual curves always denote the component of the magnetic field perpendicular to the graphite layer $B_{\perp }$. The missing parts of spectra correspond to regions in which the supporting tape is completely opaque. The energy axis for each curve is rescaled by a factor of $\sqrt{B_{\perp }}$ to facilitate identification of spectral features originating at the $H$ point of graphite. Vertical lines correspond to positions of van Hove singularities in the joint density of states as calculated using the minimal nearest-neighbor tight-binding model.[43] Since the lifting of degeneracy exactly at the $H$ point is governed by the coupling constants $T_{n,n+1}\propto \sqrt{B_{\perp }}\tan \left(\varphi \right)$, the positions of these van Hove singularities remain constant in these figures. For clarity, successive spectra in (a)–(c) are shifted vertically by 0.1.Reuse & Permissions

Figure 2

Relative magnetotransmission spectra for tilting angles $\varphi =0,15,20,25,35$, and 50${}^{\circ }$ taken with the same perpendicular component of the field $B_{\perp }=7$ T. The broadening of the lines with increasing angle, i.e., with the increasing in-plane component of the field $B_{\parallel }$, is well visible, e.g., on the $C$ line, the width of which increases roughly linearly with $B_{\parallel }$. A sample different from Fig. 1 has been used (with higher density of crystallites and their average thickness). For clarity, successive spectra are shifted vertically by 0.1.Reuse & Permissions

Figure 3

Landau sub-bands in the vicinity of the $H$ points, $k_{z}d=\pi /2$, at $B_{\perp }=$ 5 T. The solid and dashed lines describe the $k_z$ dependence of energies $E_n^e$ and $E_n^o$ in even and odd graphene sheets at $\varphi =0,15$, and 30${}^{\circ }$.Reuse & Permissions