Exact solution for large amplitude circularly polarized electromagnetic waves in incompressible spin quantum Hall magnetohydrodynamics

TL;DR

This paper derives an exact analytical solution for large amplitude circularly polarized electromagnetic waves in incompressible spin quantum Hall magnetohydrodynamics, revealing amplitude-dependent propagation modes due to spin effects.

Contribution

It presents the first exact solution for wave propagation in this complex plasma model, highlighting the influence of spin coupling on wave behavior.

Findings

Wave propagation depends on magnetic field amplitude due to spin coupling.

Linear and nonlinear spin-modified modes are characterized at different wavenumber limits.

The solution simplifies the nonlinear Maxwell equations under specific velocity-magnetic field conditions.

Abstract

It is shown that incompressible spin quantum Hall magnetohydrodynamics allows an exact solution for the propagation of a circularly polarized electromagnetic wave. The solution is obtained assuming a condition between the fluid velocity and the magnetic field which eliminates the nonlinear terms in Maxwell equations. As a result of the coupling with spin, the propagation mode depends on the amplitude of the magnetic field. From the full solution, the limits of small and large wavenumber are studied obtaining linear and a nonlinear spin-modified modes.