Multiband Fractional Thouless Pumps
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1.
Pennsylvania State University
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2.
Stanford University
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3.
California Institute of Technology
Abstract
Quantization of particle transport lies at the heart of topological physics. In Thouless pumps—dimensionally reduced versions of the integer quantum Hall effect—quantization is dictated by the integer winding of single-band Wannier states. Here, we show that repulsive interactions can drive a transition from an integer- to a fractional-quantized Thouless pump (at fixed integer filling) by stabilizing a crystal of multiband Wannier states, each with fractional winding. We numerically illustrate the concept in few-particle systems and show that a dynamical Hartree-Fock ansatz can quantitatively reproduce the pumping phase diagram.
Copyright and License
© 2025 American Physical Society.
Funding
We acknowledge the support of the AFOSR MURI program, under Agreement No. FA9550-22-1-0339, as well as the ONR MURI program, under Agreement No. N00014-20-1-2325 as well as the ONR under Agreement No. N00014-23-1-2102.
Data Availability
The data that support the findings of this article are openly available [43].
Supplemental Material
Supplementary Information, including further information on the chosen model and mean-field calculations (PDF)
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4d5s-n4gn.pdf
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Additional details
Related works
- Is new version of
- Discussion Paper: arXiv:2504.09338 (arXiv)
- Is supplemented by
- Supplemental Material: https://journals.aps.org/prl/supplemental/10.1103/4d5s-n4gn/SI-FractionalPumpingFermions.pdf (URL)
- Dataset: 10.5281/zenodo.17129762 (DOI)
Funding
- United States Air Force Office of Scientific Research
- FA9550-22-1-0339
- Office of Naval Research
- N00014-20-1-2325
- Office of Naval Research
- N00014-23-1-2102
Dates
- Accepted
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2025-09-04