We consider a double-layer structure consisting of a bilayer graphene sheet and a two-dimensional electron gas, isolated in a very thin GaAs quantum well. The collective excitations are determined from the zeroes of the dynamical dielectric function within the random-phase approximation, taking into account the temperature effects. Numerical calculations present that two plasmon modes exist in the system, similar to those in other double-layer structures. While the optical mode continues in the interband single-particle excitation area, the acoustic mode only crosses the intraband single-particle excitation boundary and disappears. Also, our investigations show that plasmon properties in the system are affected significantly by most of the chosen factors. Plasmon frequency increases as the separation increases while the increase in carrier density decreases noticeably these frequencies. Temperature affects plasmon characters similarly to but more weakly than that does in monolayer grapheme—two-dimensional electron gas double-layer structures. Finally, the temperature can increase the effects of some other parameters on plasmon properties of the system, so this factor should be taken into account in calculations to improve the model for better results.

我们考虑由双层石墨烯片和二维电子气组成的双层结构，隔离在非常薄的 GaAs 量子阱中。考虑到温度效应，集体激发由随机相位近似内的动态介电函数的零点确定。数值计算表明系统中存在两种等离子体模式，类似于其他双层结构中的模式。当光模在带间单粒子激发区继续存在时，声模只穿过带内单粒子激发边界而消失。此外，我们的研究表明，系统中的等离子体特性受到大多数所选因素的显着影响。等离子体频率随着间隔的增加而增加，而载流子密度的增加则显着降低这些频率。温度对等离子特性的影响与单层石墨烯（二维电子气双层结构）类似，但比其弱。最后，温度会增加一些其他参数对系统等离激元特性的影响，因此在计算中应考虑该因素以改进模型以获得更好的结果。