论文标题
倾斜的狄拉克锥系统中的合成非亚伯量规场和引力效应
Synthetic non-Abelian gauge fields and gravitomagnetic effects in tilted Dirac cone systems
论文作者
论文摘要
在平面倾斜的狄拉克锥系统中，倾斜参数可以通过垂直位移场或某些系统中的化学替代来依赖于空间。我们表明，倾斜参数的对称部分衍生物在这些系统中生成非亚洲合成量规场。这些量规力的小速度极限对应于Rashba和Dresselhaus自旋轨道耦合。在经典层面，倾斜的相同对称空间衍生物有助于保守，洛伦兹型和类似摩擦的力。相对于倾斜的速度依赖性力是奇怪的，因此当系统为对称时，在两个山谷中具有相反的迹象。此外，在价和传导带之间切换化学电位会逆转所有这些经典力的迹象，这表明这些力使夫妇伴随着载体的电荷。因此，这些力是在倾斜的狄拉克锥系统的特定几何形状中的电力和磁力的自然扩展。
In planar tilted Dirac cone systems, the tilt parameter can be made space-dependent by either a perpendicular displacement field, or by chemical substitution in certain systems. We show that the symmetric partial derivative of the tilt parameter generates non-Abelian synthetic gauge fields in these systems. The small velocity limit of these gauge forces corresponds to Rashba and Dresselhaus spin-orbit couplings. At the classical level, the same symmetric spatial derivatives of tilt contribute to conservative, Lorentz-type and friction-like forces. The velocity dependent forces are odd with respect to tilt and therefore have opposite signs in the two valleys when the system is inversion symmetric. Furthermore, toggling the chemical potential between the valence and conduction bands reverses the sign of the all these classical forces, which indicates these forces couple to the electric charge of the carriers. As such, these forces are natural extensions of the electric and magnetic forces in the particular geometry of the tilted Dirac cone systems.
