نبذة مختصرة : 11 pages, 7 figures ; Bulk bismuth has a complex Landau spectrum. The small effective masses and the large g-factors are anisotropic. Moreover, at a high magnetic field, when only the lowest Landau levels remain occupied, the chemical potential does not stay constant. An added complexity arises from the existence of twin boundaries, which, by producing extra anomalies, further complexify the interpretation of the data in the extreme quantum limit. Here, we present an extensive study of low-temperature angle-dependence of magnetoresistance up to 65 T together with measurements of Nernst effect, ultrasound, and magneto-optics in bismuth. We found that all observed anomalies can be explained in a single-particle picture of a sample consisting of two twinned crystals tilted by 108$^{\circ}$. We show that a quantitative agreement between theory and experiment can be achieved only if one assumes that the two adjacent twinned crystals keep their own chemical potentials at a high magnetic field, despite a shift between chemical potentials as large as 68 meV at 65 T. This implies the existence of an energy barrier between adjacent twinned crystals reminiscent of a Schottky barrier between a metal and a semiconductor. We argue that this barrier is built by accumulating charge carriers of opposite signs across a twin boundary.
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