Skyrmions in the Quantum Hall effect and noncommutative solitons

Abstract

It has been recently shown that solitons are fundamental classical solutions of non-commutative field theories. We reconsider this issue from the standpoint of the Hall effect and identify some solutions with known solutions in the integer Hall effect with no Zeeman coupling.

Some references were added. latex art.tex, 1 file, 6 pages [SPhT-T00/107], accepted in Phys. Lett. B

References in corpus (4)

• Noncommutative Solitons
• Noncommutative Tachyons
• D-branes and Strings as Non-commutative Solitons
• Two-dimensional charged electron-hole complexes in magnetic fields: Keeping magnetic translations preserved

Cited by in corpus (13)

• Jain States in a Matrix Theory of the Quantum Hall Effect
• Charged hydrogenic problem in a magnetic field: Non-commutative translations, unitary transformations, and coherent states
• Noncommutative field theory description of quantum Hall skyrmions
• Non-relativistic electron-electron interaction in a Maxwell-Chern-Simons-Proca model endowed with a timelike Lorentz-violating background
• An exact correspondence between Quantum Hall Skyrmions and non linear $\sigma$-models
• Aspects of noncommutative descriptions of planar systems in high magnetic fields
• Large and exact quantum degeneracy in a Skyrmion magnet
• Matrix Effective Theories of the Fractional Quantum Hall effect
• Semiclassical Droplet States in Matrix Quantum Hall Effect
• Induced commutative Chern-Simons term from noncommutativity in planar systems
• Non-commutative field theory approach to two-dimensional vortex liquid system
• Charged two-dimensional magnetoexciton and two-mode squeezed vacuum states
• Planar field theories with space-dependent noncommutativity