Nuclear-Electron Spin Interactions in the Quantum Hall Regime

Spin and Charge Ordering in the Quantum Hall Regime

“…Here, the Brillouin function and the substitution = / was used, with representing the Boltzmann constant and the temperature of the nuclear spin system [6]. Fig.…”

“…Another important mechanism of nuclear spin interaction is the hyperfine coupling to the electron spin system of the 2DES. For a GaAs based 2DES, the hyperfine interaction is dominated by the Fermi contact interaction between the s-type conduction band electrons and the nuclei [6]. This interaction can be described by the Hamiltonian 6) with the hyperfine interaction constant…”

“…On the other hand, the coexistence of unpolarized and polarized domains at the spin transition was found to facilitate a dynamic nuclear spin polarization when imposing an external current [8,179,180,186,187]. The underlying process can be understood in the following way [6]. If electrons are driven across the domain walls separating regions of opposite spin orientation, a spin reversal is required.…”

“…At this point, the quantum Hall effect connects to the field of quantum information processing. On other frontiers, the quantum Hall effect is a platform to rich spin physics such as ferromagnetic phase transitions and skyrmionic spin textures [6].…”

“…The diverse many-body phenomena featured in the quantum Hall regime are enriched even further by the spin degree of freedom [6]. It leads to an additional splitting of the Landau levels (Zeeman effect) with sometimes far-reaching consequences.…”