Localization of spinwaves in the quantum Hall ferromagnet

Abstract

The quantum Hall ferromagnet at filling fraction $\nu =1$ has some unusual properties due to the remarkable identity between the topological density of a spin distortion and the associated electrical charge density. We investigate the localization of spinwaves by coupling to a scalar disorder potential via their topological density. A low energy description of the system in terms of a non-linear sigma model of unitary supermatrices is derived. All states of this model are localized in two dimensions. A possible experimental signature of these effects in photo-luminescence is suggested.

6 pages, revtex, 11 pictures included in the text

References in corpus (2)

• Theory of Photoluminescence of the $\nu =1$ Quantum Hall State: Excitons, Spin-Waves and Spin-Textures
• Disorder and the quantum Hall ferromagnet

Cited by in corpus (6)

• Dipolar Excitons, Spontaneous Phase Coherence, and Superfluid-Insulator Transition in Bi-layer Quantum Hall Systems at $\nu =1$
• Dissipationless transport in low density bilayer systems
• Goldstone-Mode Relaxation in a Quantized Hall Ferromagnet in the Presence of Smooth Random Potential
• Quantum Hall to Insulator Transition in the Bilayer Quantum Hall Ferromagnet
• Dirty quantum Hall ferromagnets and quantum Hall spin glasses
• Effect of the Equivalence Between Topological and Electric Charge on the Magnetization of the Hall Ferromagnet