We describe an analytical theory investigating the regime of validity of the Fermi liquid theory in interacting, via the long-range Coulomb coupling, two-dimensional Fermi systems comparing it with the corresponding 3D systems. We find that the 2D Fermi liquid theory and 2D quasiparticles are robust up to high energies and temperatures of the order of Fermi energy above the Fermi surface, very similar to the corresponding three-dimensional situation. We calculate the phase diagram in the frequency-temperature space separating the collisionless ballistic regime and the collision-dominated hydrodynamic regime for 2D and 3D interacting electron systems. We also provide the temperature corrections up to third order for the renormalized effective mass, and comment on the validity of 2D Wiedemann-Franz law and 2D Kadawoki-Woods relation.

我们描述了一种分析理论，该理论研究费米液体理论在通过远程库仑耦合相互作用的二维费米系统与相应的3D系统进行交互中的有效性机制。我们发现，二维费米液体理论和二维准粒子在费米表面以上的高能量和费米能量级的温度下具有较强的鲁棒性，与相应的三维情况非常相似。我们计算了在温度-温度空间中将2D和3D相互作用电子系统的无碰撞弹道状态和碰撞占主导的流体力学状态分开的相图。我们还为归一化的有效质量提供了高达三阶的温度校正，并评论了2D Wiedemann-Franz定律和2D Kadawoki-Woods关系的有效性。