We study the absorption spectra of the yellow excitons in Cu$_2$O in highmagnetic fields using polarization-resolved optical absorption measurementswith a high frequency resolution. We show that the symmetry of the yellowexciton results in unusual selection rules for the optical absorption ofpolarized light and that the mixing of ortho- and para- excitons in magneticfield is important. Our calculation of the energies of the yellow excitonseries in an arbitrary magnetic field gives an excellent fit to experimentaldata and allows us to understand the complex structure of excitonic levels andtheir magnetic field dependence, which resolves the old-standing disagreementbetween the results of optical absorption and cyclotron resonance measurements.
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