Eur. Phys. J. B 29, 157-162 (2002)
https://doi.org/10.1140/epjb/e2002-00277-7

CP_N solitons in quantum Hall systems

School of Physical Sciences, Jawaharlal Nehru University, New Delhi 110067, India

Corresponding author: ^a doug0700@mail.jnu.ac.in

Received: 17 November 2001
Published online: 2 October 2002

Abstract

We 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. We then 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. We conclude with a brief summary of our own recent work in this area, done with Sankalpa Ghosh.