Skyrmions in Quantum Hall States
Jesper Romers - April 09 2010
When a 2D electron gas is subjected to a large magnetic field, the electrons
organize in Landau levels and a new state of matter appears: the quantum Hall
state. We study these states in the regime where the spin degree of freedom
of the electrons is not frozen out by the Zeeman effect. We find that the
resulting spin textures are like the skyrmions familiar from sigma-model physics
and that the wave functions have a very rich algebraic structure.