Goldstone Mode Relaxation in a Quantum Hall Ferromagnet due to Hyperfine Interaction with Nuclei

Abstract

Spin relaxation in quantum Hall ferromagnet regimes is studied. As the initial non-equilibrium state, a coherent deviation of the spin system from the $\vec{B}$ direction is considered and the breakdown of this Goldstone-mode state due to hyperfine coupling to nuclei is analyzed. The relaxation occurring non-exponentially with time is studied in terms of annihilation processes in the "Goldstone condensate" formed by "zero spin excitons". The relaxation rate is calculated analytically even if the initial deviation is not small. This relaxation channel competes with the relaxation mechanisms due to spin-orbit coupling, and at strong magnetic fields it becomes dominating.

8 pages

References in corpus (6)

• Electron spin relaxation by nuclei in semiconductor quantum dots
• Soft Spin Wave Near nu=1: Evidence for a Magnetic Instability in Skyrmion Systems
• Spin-texture and magneto-roton excitations at nu=1/3
• Goldstone-Mode Relaxation in a Quantized Hall Ferromagnet in the Presence of Smooth Random Potential
• Cyclotron spin-flip excitations in a ν=1/3 quantum Hall ferromagnet
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Cited by in corpus (4)

• Competing Hyperfine and Spin-Orbit Couplings: Spin Relaxation in a Quantum Hall Ferromagnet
• Goldstone mode stochastization in quantum Hall ferromagnet
• Spin-rotation mode in a quantum Hall ferromagnet
• Damping via the hyperfine interaction of a spin-rotation mode in a two-dimensional strongly magnetized electron plasma