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Register a new userOptical absorption to probe the quantum Hall ferromagnet at filling factor $ u=1$
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Paulina Plochocka Dr
Publication date
2009
fields
Physics
and research's language is
English
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Optical absorption measurements are used to probe the spin polarization in the integer and fractional quantum Hall effect regimes. The system is fully spin polarized only at filling factor $ u=1$ and at very low temperatures($sim40$ mK). A small change in filling factor ($delta uapproxpm0.01$) leads to a significant depolarization. This suggests that the itinerant quantum Hall ferromagnet at $ u=1$ is surprisingly fragile against increasing temperature, or against small changes in filling factor.
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The electronic excitations at the edges of a Hall bar not much wider than a few magnetic lengths are studied theoretically at filling $ u = 2$. Both mean-field theory and Luttinger liquid theory techniques are employed for the case of a null Zeeman energy splitting. The first calculation yields a stable spin-density wave state along the bar, while the second one predicts dominant Wigner-crystal correlations along the edges of the bar. We propose an antiferromagnetic Wigner-crystal groundstate for the edge electrons that reconciles the two results. A net Zeeman splitting is found to produce canting of the antiferromagnetic order.
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