Multi-band fractional Thouless pumps
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arXiv
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| Auteurs principaux: | , , , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866912555833753600 |
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| author | Jürgensen, Marius Steiner, Jacob Refael, Gil Rechtsman, Mikael C. |
| author_facet | Jürgensen, Marius Steiner, Jacob Refael, Gil Rechtsman, Mikael C. |
| contents | 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 multi-band 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_09338 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Multi-band fractional Thouless pumps Jürgensen, Marius Steiner, Jacob Refael, Gil Rechtsman, Mikael C. Strongly Correlated Electrons Other Condensed Matter 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 multi-band 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. |
| title | Multi-band fractional Thouless pumps |
| topic | Strongly Correlated Electrons Other Condensed Matter |
| url | https://arxiv.org/abs/2504.09338 |