CP_N Solitons in Quantum Hall Systems

Details CP_N Solitons in Quantum Hall Systems CP_N Solitons in Quantum Hall Systems

2001-12-29

arxiv.org/abs/cond-mat/0112491v1

Physics

Condensed Matter

Standard revtex format, 18 pages, no figures

Scientific paper

10.1140/epjb/e2002-00277-7

We will present here an elementary pedagogical introduction to $CP_N$ solitons in quantum Hall systems. We begin with a brief introduction to both $CP_N$ models and to quantum Hall (QH) physics. Then we focus on spin and layer-spin degrees of freedom in QH systems and point out that these are in fact $CP_N$ 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 $CP_N$ field equations. This is followed by a brief summary of our own recent work in this area, done with Sankalpa Ghosh. [ Invited Plenary Lecture at the International Conference on Geometry, Integrability and Nonlinearity in Condensed Matter & Soft Condensed Matter Physics held at Bansko, Bulgaria, July 15-20, 2001. ]

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