We study instability of plasmons in a dual-grating-gate graphene field-effect transistor induced by dc current injection using self-consistent simulations with the Boltzmann equation. With only the acoustic-phonon-limited electron scattering, it is demonstrated that a total growth rate of the plasmon instability, with the terahertz/mid-infrared range of the frequency, can exceed 4 × 10 12 s −1 at room temperature, which is an order of magnitude larger than in two-dimensional electron gases based on usual semiconductors. By comparing the simulation results with existing theory, it is revealed that the giant total growth rate originates from simultaneous occurence of the so-called Dyakonov-Shur and Ryzhii-Satou-Shur instabilities.PACS numbers: 72.80. Vp, 73.50.Mx Electronic, hydrodynamic, and electromagnetic properties of two-dimensional (2D) plasmons in channels of field-effect transistors (FETs) have been investigated extensively for their utilization to terahertz (THz) devices [1-6] (see also review papers [7][8][9][10] and references therein). Especially, plasmon instability is one of the most important properties to realize compact, roomtemperature operating THz sources. Self-excitation of plasmons due to instability induces ac voltages in the gate electrodes and, in turn, leads to the emission of THz waves.The so-called Dyakonov-Shur (DS) instability [2,[11][12][13] and Ryzhii-Satou-Shur (RSS) instability [14][15][16] in single-gate FETs were proposed theoretically as mechanisms of plasmon instability by dc current injection through the transistor channel. The DS instability originates from the Doppler shift effect at asymmetric boundaries in the channel, i.e., zero time-variation of pontential at the source contact and zero time-variation of electron velocity near the drain contact, which are naturally realized by operating the FET in the saturation regime. In the same saturation regime, the RSS instability takes place due to the transit-time effect of fast-moving electrons in the high-field region in the drain side. Alternatively, the so-called dual-grating-gate structure (see Fig. 1(a)), in which two types of interdigitately-placed gates form a very efficient grating coupler between THz waves and 2D plasmons [17,18], has been proposed for direct THz emission without antenna integration [17,19]. The RSS instability in this structure has been investigated analytically [16]. In addition, asymmetry of the gate placement expects to lead to partial realization of the asymmetric boundary conditions and, in turn, of the DS instability [9,10]. However, in FETs or high-electron-mobility transistors (HEMTs) based on usual semiconductors (Si and compound semiconductors such as InGaAs and GaN), growth rates of the instabilities are of the order of 10 11 s −1 , which are limited by electron saturation velocities ( 2 × 10 7 cm/s in the GaAs channel). With such low growth rates the plasmons are easily damped out at room temperature by a large damping rate ( 10 12 s −1 ) associated with electron scattering.Plasmons in...