狄拉克半金属中的DC电导率和Stokes流
DC conductivities and Stokes flows in Dirac semimetals
摘要：
在Dirac半金属的全息模型中，即Einstein-Maxwell标量引力加上辅助的$U(1)$规范场，并通过{ \it动力学混合}项与普通的Maxwell规范场耦合，详细讨论了黑膜对电场和温度梯度的响应.利用常径向坐标超曲面的叶理，我们导出了相空间中哈密顿量和运动方程的精确形式。检查的哈密顿约束，使我们能够在黑膜事件视界的线性化微扰的首阶展开，推导出不可压缩的双电荷流体的斯托克斯方程。求解上述方程，得到全息狄拉克半金属的直流电导率。
英文摘要：
In the holographic model of Dirac semimetals being the Einstein-Maxwell scalar gravity with the auxiliary $U(1)$-gauge field, coupled to the ordinary Maxwell one by {\it kinetic mixing } term, the black brane response to the electric fields and temperature gradient has been elaborated. Using the foliation by hypersurfaces of constant radial coordinate we derive the exact form of the Hamiltonian and equations of motion in the considered phase space. Examination of the Hamiltonian constraints enables us, to the leading order expansion of the linearised perturbations at the black brane event horizon, to derive Stokes equations for incompressible doubly charged fluid. Solving the aforementioned equations, one arrives at the DC conductivities for the holographic Dirac semimetals.
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