Energy spectrum reconstruction at the edge of a two-dimensional electron system with strong spin-orbit coupling

We experimentally demonstrate the simultaneous reconstruction of the bulk and the edge energy spectra caused by strong spin-orbit interaction, at the two lowest filling factors $ν=1$ and $ν=2$ for $In_xGa_{1-x}As$ two-dimensional electron system with $x = 0.75$. The observed reconstruction is of different character at these filling factors: it is characterized by zeroing of the energy gap at the levels crossing point at $ν=2$, while the reconstruction at $ν=1$ goes through the coexistence of two $ν=1$ quantum Hall phases with different spin projections. An analysis indicates a strong influence of many-body interaction on the reconstruction at $ν=1$.

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