Valley Splitting and Polarization by the Zeeman Effect in Monolayer MoSe2
Yilei Li, Jonathan Ludwig, Tony Low, Alexey Chernikov, Xu Cui,, Ghidewon Arefe, Young Duck Kim, Arend M. van der Zande, Albert Rigosi,, Heather M. Hill, Suk Hyun Kim, James Hone, Zhiqiang Li, Dmitry Smirnov, Tony, F. Heinz

TL;DR
This study investigates how magnetic fields influence valley splitting and polarization in monolayer MoSe2, revealing Zeeman shifts, valley degeneracy lifting, and many-body effects on exciton binding energies.
Contribution
It provides experimental evidence of valley splitting and polarization effects in monolayer MoSe2 under magnetic fields, including the role of doping levels and many-body interactions.
Findings
Zeeman shifts of .12 meV/T and .18 meV/T for neutral and charged excitons
Magnetic field induces valley polarization and lifts valley degeneracy
Many-body effects enhance Zeeman shifts at high doping levels
Abstract
We have measured circularly polarized photoluminescence in monolayer MoSe2 under perpendicular magnetic fields up to 10 T. At low doping densities, the neutral and charged excitons shift linearly with field strength at a rate of 0.12 meV/T for emission arising, respectively, from the K and K' valleys. The opposite sign for emission from different valleys demonstrates lifting of the valley degeneracy. The magnitude of the Zeeman shift agrees with predicted magnetic moments for carriers in the conduction and valence bands. The relative intensity of neutral and charged exciton emission is modified by the magnetic field, reflecting the creation of field-induced valley polarization. At high doping levels, the Zeeman shift of the charged exciton increases to 0.18 meV/T. This enhancement is attributed to many-body effects on the binding energy of the charged excitons.
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