Quantized Charge Polarization as a Many-Body Invariant in (2+1)D Crystalline Topological States and Hofstadter Butterflies
We show how to define a quantized many-body charge polarization 𝒫[over →] for (2+1)D topological phases of matter, even in the presence of nonzero Chern number and magnetic field. For invertible topological states, 𝒫[over →] is a Z_{2}×Z_{2}, Z_{3}, Z_{2}, or Z_{1} topological invariant in the prese...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
American Physical Society
2023-07-01
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| Series: | Physical Review X |
| Online Access: | http://doi.org/10.1103/PhysRevX.13.031005 |