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Dyakonov-Shur instability of the electronic fluid: Spectral effect of weak magnetic field

Dyakonov-Shur instability of the electronic fluid: Spectral effect of weak magnetic field

We study numerically and analytically how the Dyakonov-Shur instability for a two-dimensional (2D) inviscid electronic fluid in a long channel can be affected by an external, out-of-plane static magnetic field. By linear stability analysis for a model based on the shallow-water equations, we describe the discrete spectrum of frequencies. When …