Quantized Density Response in Insulators

Details Quantized Density Response in Insulators Quantized Density Response in Insulators

1994-03-18

arxiv.org/abs/cond-mat/9403072v1

Physics

Condensed Matter

14 pages, plain TeX

Scientific paper

10.1103/PhysRevB.49.13554

The response of particle density to a dilation of a periodic potential in an insulator, with or without a fixed background potential or a magnetic field, is shown to be quantized. A similar phenomenon occurs in a quantum Hall system, where the derivative of the electron density with respect to the magnetic field is quantized in units of $e/h$, the inverse flux quantum. A number of other interesting results may be unified under the notion of quantized density response, including the quantization of adiabatic particle transport, the gap labeling theorem and its generalization in the presence of a magnetic field.

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