1998/11/16 by W. Apel, Yu. A. Bychkov · 2 citations
Engineering · Physics and Astronomy · #Advancements in Semiconductor Devices and Circuit Design #Physics of Superconductivity and Magnetism #Quantum and electron transport phenomena #cond-mat.mes-hall #cond-mat.str-el
paper · pdf · doi:10.1103/physrevlett.82.3324
published as Phys. Rev. Lett. 82, 3324 (1999) · 4 pages, 1 figure
arxiv created 1998/11/16 · openalex publication_date 1999/04/19 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/30
We study spin relaxation in an interacting two-dimensional electron gas in a strong magnetic field for the case where the electron density is close to filling just one Landau sublevel of one spin projection, i.e., for filling factor \ensuremathν\ensuremath≃1. Assuming the relaxation to be caused by scattering with phonons, we derive the kinetic equations for the electrons' spin density which replace the Bloch equations in our case. These equations are nonlinear and their solution depends crucially on the filling factor \ensuremathν and on the temperature T of the phonon bath. In the limit of T\phantom\rule0ex0ex=\phantom\rule0ex0ex0 and \ensuremathν\phantom\rule0ex0ex=\phantom\rule0ex0ex1, the solution relaxes asymptotically with a power law inversely proportional to time, instead of following the conventional exponential behavior.