Bismuth in strong magnetic fields: unconventional Zeeman coupling and correlation effects

Abstract

Recent experiments on bismuth have uncovered remarkably rich magnetization structure at fields well beyond the regime in which all carriers are expected to reside in the lowest Landau level. Motivated by these findings, we start from a microscopic tight-binding model and derive a low-energy Hamiltonian for the holes and three Dirac electrons pockets in bismuth. We find that an unconventional electron Zeeman effect, overlooked previously, suppresses the quantum limit for the electrons dramatically, giving rise to the observed anomalous magnetization structure. We further study interaction effects near fields at which the 2nd Landau level for one electron pocket empties, where magnetization hysteresis was observed. Here we find instabilities towards both charge density wave and Wigner crystal phases, and propose that hysteresis arises from a first-order transition out of the latter.

4 pages, 1 figure

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Cited by in corpus (24)

• Quantum Hall effects in a Weyl Semi-Metal: possible application in pyrochlore Iridates
• Field-induced polarisation of Dirac valleys in bismuth
• Transport Properties and Diamagnetism of Dirac Electrons in Bismuth
• Angle-resolved Landau spectrum of electrons and holes in bismuth
• Angle dependence of the orbital magnetoresistance in bismuth
• Thermodynamic evidence for valley-dependent density of states in bulk bismuth
• An electronic instability in bismuth far beyond the quantum limit
• Magnetoresistance and valley degree of freedom in bulk bismuth
• Origin of the large anisotropic g-factor of holes in bismuth
• Phase diagram of bismuth in the extreme quantum limit
• Landau spectrum and twin boundaries of bismuth in the extreme quantum limit
• Signatures of surface states in bismuth at high magnetic fields
• Thermodynamic signatures of the field-induced states of graphite
• Theory of transport property of density wave phases in three-dimensional metals and semimetals under high magnetic field
• Hall plateaus at magic angles in bismuth beyond the quantum limit
• Instability of Dirac semimetal phase under strong magnetic field
• Ground-state atlas of a three-dimensional semimetal in the quantum limit
• Spontaneous symmetry breaking of magnetostriction in metals with multi-valley band structure
• Oscillations of the Nernst coefficient in bismuth
• Nernst quantum oscillations in bulk semi-metals
• Electron-phonon coupling in semimetals in a high magnetic field
• Competing phases and critical behavior in three coupled spinless Luttinger liquids
• Theory of phonon instabilities in Weyl semimetals at high magnetic fields
• High-field immiscibility of electrons belonging to adjacent twinned bismuth crystals