论文标题
Wigner-Weyl无质量零等离子体的描述
Wigner-Weyl description of massless Dirac plasmas
论文作者
论文摘要
我们得出了一个量子动力学模型，该模型描述了基于Wigner-Weyl形式主义的相空间中石墨烯电子的动力学。为了考虑载体的量子性质，我们利用密度矩阵的量子liouville方程。通过将密度矩阵元素与Wigner函数联系起来，建立了后者的运动方程，并自s谐地引入库仑相互作用（即在Hartree近似中）。对于未经封闭的情况，获得了等离子体分散关系的长波长极限。作为应用，我们从第一原理中得出相应的流体方程，并讨论载体有效流体动力质量的正确值。这构成了建立对狄拉克电子的适当流体描述的关键点，从而为石墨烯等离激元的更全面描述铺平了道路。
We derive a quantum kinetic model describing the dynamics of graphene electrons in phase space based on the Wigner--Weyl formalism. To take into account the quantum nature of the carriers, we make use of the quantum Liouville equation for the density matrix. By relating the density matrix elements with the Wigner function, the equation of motion for the latter is established, with the Coulomb interaction being introduced self-consistently (i.e., in the Hartree approximation). The long-wavelength limit for the plasmon dispersion relation is obtained, for both ungated and gated situations. As an application, we derive the corresponding fluid equations from first principles and discuss the correct value of the effective hydrodynamic mass of the carriers. This constitutes a crucial point in establishing the appropriate fluid description of Dirac electrons, thus paving the way to a more comprehensive description of graphene plasmonics.
