The description is presented for the dependence of the indirect exciton
condensate density at the ring as a function of the polar angle at zero
temperature with the involvement of the processes of formation and
recombination of the excitons. In particular, starting from the quasi
one-dimensional Gross-Pitaevskii equation with a spatially uniform generating
term, we derive an exact analytical solution yielding the fragmentation of an
exciton ring which is probably observed in the experiments.Comment: 4 pages, 1 figure. The preprint has been brought into accord with the
journal's varian
We draw attention to a similarity between mutually related kinetic material phenomena that are odd in the magnetic field and produce an electric current or heat flow perpendicular (1) to the magnetic field, (2) to the electric field strength or to the temperature gradient. These phenomena include the Hall effect, the Righi±Leduc effect in nonmagnetic metals, the anomalous Hall effect in magnets, the odd Senftleben±Beenakker effect in molecular gases, and the phonon Hall effect in dielectrics. While these phenomena have much in common in terms of geometry, their formation mechanisms Ð dynamic and dissipative Ð are different. However, in all cases, the flow perpendicular to the magnetic field arises from the spin±orbit interaction of carriers with magnetic moments.
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