Magnetic Response Functions in Landau Levels

Abstract

We propose a new quantization rule which generates Landau levels consistent with the zero-field magnetic response functions from the semiclassical theory. It reproduces the Onsager's rule in the leading order, and re-formulates corrections from the Berry phase and magnetic moment effect in terms of one single magnetic response: the zero-field magnetization. It can yield higher order corrections by including successively magnetic susceptibility and higher order magnetic response functions. In application, it can be easily applied to obtain Landau levels in lattice models. Moreover, it provides an experimental method of measuring different magnetic response functions directly from the measurement of Landau level fan diagram or Hofstadter spectrum.

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• Fermi-arc metals
• High Landau levels of 2D electrons near the topological transition caused by interplay of spin-orbit and Zeeman energy shifts
• Revisiting the magnetic responses of bilayer graphene from the perspective of the quantum distance
• Phase shift of cyclotron orbits at type-I and type-II multi-Weyl nodes
• Local Observations of Orbital Diamagnetism and Excitation in Three-Dimensional Dirac Fermion Systems Bi${}_{1-x}$Sb${}_x$
• Saddle point anomaly of Landau levels in graphenelike structures
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• Anomalous Landau levels and quantum oscillation in rotation-invariant insulators
• Orbital magnetization reveals multiband topology