English

CP_N Solitons in Quantum Hall Systems

Condensed Matter 2009-11-07 v1

Abstract

We will present here an elementary pedagogical introduction to CPNCP_N solitons in quantum Hall systems. We begin with a brief introduction to both CPNCP_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 CPNCP_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 CPNCP_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. ]

Cite

@article{arxiv.cond-mat/0112491,
  title  = {CP_N Solitons in Quantum Hall Systems},
  author = {R. Rajaraman},
  journal= {arXiv preprint arXiv:cond-mat/0112491},
  year   = {2009}
}

Comments

Standard revtex format, 18 pages, no figures

R2 v1 2026-07-22T10:32:35.551Z