Topological Nature of Polarization and Charge Pumping in Ferroelectrics
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説明
Electric polarization or transferred charge due to an adiabatic change of external parameters $\vec{Q}$ is expressed in terms of a vector field defined in the $\vec{Q}$ space. This vector field is characterized by strings, i.e., trajectories of band-crossing points. In particular, the transverse component is given by the Biot-Savart law in a nonlocal way. For a cyclic change of $\vec{Q}$ along a loop C, the linking number between this string and C represents the amount of the pumped charge, which is quantized to be an integer as discussed by Thouless.
5 pages including 4 figures
収録刊行物
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- Physical Review Letters
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Physical Review Letters 93 (16), 167602-, 2004-10-13
American Physical Society (APS)