In a rigidly rotating free Fermi gas, the relativistic Barnett effect produces different Fermi energies for spin-up and spin-down fermions, leading to a moment of inertia that scales as 1/T at high temperature, analogous to the Curie law.
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The energy spectra for Dirac particles in polar coordinates depend on both radial quantum number n ≥ 0 and angular quantum number m ≠ 0 after correcting minor errors in the original derivation.
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Relativistic Barnett effect and Curie law in a rigidly rotating free Fermi gas
In a rigidly rotating free Fermi gas, the relativistic Barnett effect produces different Fermi energies for spin-up and spin-down fermions, leading to a moment of inertia that scales as 1/T at high temperature, analogous to the Curie law.
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Comment on "Quantum phase transitions of Dirac particles in a magnetized rotating curved background: Interplay of geometry, magnetization, and thermodynamics"
The energy spectra for Dirac particles in polar coordinates depend on both radial quantum number n ≥ 0 and angular quantum number m ≠ 0 after correcting minor errors in the original derivation.