In a quantum Hall ferromagnet, orbital magnetization computed via periodic-field projector response equals the thermodynamic derivative w.r.t. uniform field, equating both to Středa spectral flow.
Ward identities and orbital magnetization in current density functional theory
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abstract
We revisit the derivation of the orbital magnetization formula for periodic crystals in current density functional theory (CDFT)[1]. Our new derivation computes the linear response of the energy density to a periodic magnetic field in the long-wavelength limit. We unveil a Ward identity which connects the current vertex to the derivative of the Kohn-Sham self-energy. The result of Ref.[1] is confirmed: the orbital magnetization of the interacting solid can be computed exactly (in principle) from the self-consistent eigenfunctions and eigenvalues of the Kohn-Sham equation of CDFT.
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cond-mat.mes-hall 1years
2026 1verdicts
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Orbital Magnetization from Uniform and Periodic Magnetic Fields
In a quantum Hall ferromagnet, orbital magnetization computed via periodic-field projector response equals the thermodynamic derivative w.r.t. uniform field, equating both to Středa spectral flow.