Abstract:
We present here an elementary pedagogical introduction to CPN solitons in quantum Hall systems. We begin with a brief introduction to both CPN models and to quantum Hall (QH) physics. We then focus on spin and layer-spin degrees of freedom in QH systems and point out that these are in fact CPN fields for N = 1 and N = 3. Excitations in these degrees of freedom will be shown to be topologically non-trivial soliton solutions of the corresponding CPN field equations. We conclude with a brief summary of our own recent work in this area, done with Sankalpa Ghosh.
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Received 17 November 2001 Published online 2 October 2002
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Rajaraman, R. solitons in quantum Hall systems. Eur. Phys. J. B 29, 157–162 (2002). https://doi.org/10.1140/epjb/e2002-00277-7
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DOI: https://doi.org/10.1140/epjb/e2002-00277-7