Fig. 2: Magnetic field dependence of exciton energy.

Exciton energy versus the magnetic field calculated for atomic monolayer a WSe₂, and b MoSe₂ by means of three different approaches. The dotted lines correspond to the single channel (SC) calculations within the SVM method, where one orbital channel (m_e, m_h) = (0, 0) is taken into account as discussed in ref. ⁴⁸. The resulting diamagnetic shift scales linearly with the magnetic field and is essentially larger compared to the experimental measurements. The dashed lines correspond to the calculation within perturbation theory (PT), where the diamagnetic shift is estimated via ΔE_dia ≈ e²〈r²〉B²/8μ, in accordance with the experimental results^{40,41,42,43,44}. The solid lines show the SVM calculations of the exciton energy with a multi-orbital basis incorporating the following orbital channels: (0, 0), (1, −1), (−1, 1), (−2, 2), and (2, −2).