A Non-linear Sigma-model for Partially Polarized QH-states

Abstract

We consider a two-component quantum Hall system within a Landau-Ginzburg theory with two Chern-Simons gauge fields. From this theory we derive a sigma model covariantly coupled to one Chern-Simons field and find mean field solutions that could describe partially polarized quantum Hall states. The quasiparticles in the original model, which have quantized charge and spin, are described in the covariant sigma model by topological excitations, with the correct quantum numbers. They have finite energy due to the presence of the Chern-Simons field, and closely resemble the skyrmions in the usual non-linear sigma model. For the fully polarized states the spin is no longer quantized, but determined by Coulomb and Zeeman interactions.

12 pages, RevTeX

References in corpus (5)

• Spontaneous Inter-layer Coherence in Double-Layer Quantum-Hall Systems I: Charged Vortices and Kosterlitz-Thouless Phase Transitions
• Evidence for Skyrmions and Single Spin Flips in the Integer Quantized Hall Effect
• Quantum Ferromagnetism and Phase Transitions in Double-Layer Quantum Hall Systems
• Evidence of Skyrmion excitations about $\nu =1$ in n-Modulation Doped Single Quantum Wells by Inter-band Optical Transmission
• Multi-Component Quantum Hall Systems: The Sum of their Parts and More

Cited by in corpus (6)

• A Field Theory for Partially Polarized Quantum Hall States
• Edge Theories for Polarized Quantum Hall States
• Skyrmions in arbitrarily polarized quantum Hall states
• Quantum Hall Skyrmions in the framework of O(4) Non-linear Sigma Model
• Skyrmion $\leftrightarrow$ pseudoSkyrmion Transition in Bilayer Quantum Hall States at $\nu =1$
• Solitons in Chern-Simons theories of nonrelativistic CP^{N-1} models: Spin textures in the quantum Hall effect