磁场作用下拓扑绝缘体中的非标准电子动力学：Berry相位效应
Nonstandard electron dynamics in topological insulators subjected to magnetic field: the Berry phase effects
摘要：
研究了静态磁场作用下Bi2Te3型三维拓扑绝缘体表面载流子运动的准经典动力学。连接到电子等能面（轮廓）的对称性变化和非零的Berry曲率的影响被考虑在内。结果表明，与电子在恒定均匀磁场中沿方程E（k）=const和pz=const所定义的轨道运动的标准动力学相反，这里出现了一些新的效应，与Berry曲率成正比的反常速度项的出现有关，以及与波包的轨道动量成比例的能量的附加项有关的轨迹弯曲。这将导致表面电子回旋共振条件的变化。虽然在磁场中时间反演不变性和拓扑顺序被打破，但是回旋共振的调查允许确定该绝缘体在零磁场下是平凡的还是非平凡的。
英文摘要：
The quasiclassical dynamics is studied for charge carriers moving on the surface of 3D topological insulator of Bi2Te3 type and subjected to static magnetic field. The effects connected to the symmetry changes of electron isoenergetic surfaces (contours) and to the nonzero Berry curvature are taken into account. It is shown that in contrast to the standard dynamics of the electrons moving in constant and uniform magnetic field along the trajectories defined by the equations E(k)=const and pz=const, here some new effects are arising, being related to both the appearance of the anomalous velocity term proportional to the Berry curvature, and to the trajectory bending related to the additional term for the energy proportional to the orbital momentum of the wavepacket. This should lead to the changes in cyclotron resonance conditions of the surface electrons. Although the time reversal invariance and the topological order are broken in the magnetic field, the investigation of cyclotron resonance allows determining whether this insulator was trivial or nontrivial at zero magnetic field.
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