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We analyze the Landau level (LL) structure and spin Hall effect in a MoS2trilayer. Due to orbital asymmetry, the low-energy Dirac fermions becomeheavily massive and the LL energies grow linearly with $B$, rather than with$\sqrt{B}$. Spin-orbital couplings break spin and valley degenerate LL's intotwo time reversal invariant groups, with LL crossing effects present in thevalence bands. We find a field-dependent unconventional Hall plateau sequence$\nu=...$ $-2M-6$, $-2M-4$, $-2M-2$, $-2M-1$, ..., -5, -3, -1, 0, 2, 4 .... Ina p-n junction, spin-resolved fractionally quantized conductance appears intwo-terminal measurements with a controllable spin-polarized current that canbe probed at the interface. We also show the tunability of zero-field spin Hallconductivity.

Unconventional Quantum Hall Effect and Tunable Spin Hall Effect in MoS2 Trilayers