In highly conductive metals with sufficiently strong momentum-conserving scattering, the electron momentum is regarded as a long-lived quantity, whose dynamics is described by an emergent hydrodynamic theory. In this paper, we develop an electron hydrodynamic theory for noncentrosymmetric metals, where a novel class of electron fluids is realized by lowering crystal symmetries and the resulting geometrical effects. The obtained hydrodynamic equation suggests a nontrivial analogy between electron fluids in noncentrosymmetric metals and chiral fluids in vacuum, and predicts novel hydrodynamic transport phenomena, that is, asymmetric Poiseuille flow and anomalous edge current. Our theory also gives a hydrodynamic description of the counterpart of various anomalous transport phenomena such as the quantum nonlinear Hall effect. Furthermore, we give a symmetry consideration on the hydrodynamic equation and propose several experimental setups to realize such anomalous hydrodynamic transport in the existing hydrodynamic materials, including bilayer graphene and Weyl semimetals.
Nonreciprocity of hydrodynamic electron transport in noncentrosymmetric conductors
Center for Computation and Theory of Soft Materials, Robert R. McCormick School of Engineering and Applied Science, Northwestern University（西北大学麦考密克工程与应用科学学院软物质计算与理论中心）；Department of Physics, University of Washington（华盛顿大学物理系）；Department of Physics, University of Wisconsin-Madison（威斯康星大学麦迪逊分校物理系）
Anomalous diffusion and singular transport from hydrodynamic recoupling
Laboratoire de Physique de l’École Normale Supérieure, CNRS, ENS & Université PSL（巴黎高等师范学院物理实验室，法国国家科学研究中心，巴黎高等师范学院及巴黎文理研究大学）；Department of Electrical and Computer Engineering, Princeton University（普林斯顿大学电气与计算机工程系）；Department of Theoretical Physics, University of Geneva（日内瓦大学理论物理系）；Geneva Quantum Center, University of Geneva（日内瓦大学日内瓦量子中心）
A comparison of a commercial hydrodynamics TCAD solver and Fermi kinetics transport convergence for GaN HEMTs
GAN HEMT的各种模拟用于研究两种不同能量传输模型的行为：费米动力学传输模型和流体动力学传输模型，因为它是在Synopsys的器件模拟器Sentaurus中实现的。详细描述了各个求解器的电子输运和热流方程。在电子通量的描述和离散化方法的差异突出。接下来，使用相同的网格、边界条件和材料参数将传输模型应用于相同的模拟器件结构。静态模拟表明，费米动力学的数值收敛始终是二次或更快，而流体动力学模型往往是次二次。大信号瞬态模拟的进一步比较表明，流体动力学模型产生某些异常的电子系综行为的晶体管结构内。这两个模型产生的电子动力学的根本不同，表明了它们不同的数值收敛特性的根本原因。
