A 6 Geometric Phases and Topological effects1

3 Selected Applications of Geometric Phase in Condensed Matter 12 3.1 Berry curvature for Bloch electrons . . . . . . . . . . . . . . . . . . . . . . . . 12 3.2 Electric polarization . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 13 3.3 Chern insulators and (quantum) anomalous Hall effect . . . . . . . . . . . . . 21 3.4 Dynamics of wavepackets in solids . . . . . . . . . . . . . . . . . . . . . . . . 28 3.5 Topological Hall effect . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 33