Interplay of local and global quantum geometry in the stability of flat-band superfluids
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866911500611878912 |
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| author | Huhtinen, Kukka-Emilia Dürrnagel, Matteo Peri, Valerio Huber, Sebastian D. |
| author_facet | Huhtinen, Kukka-Emilia Dürrnagel, Matteo Peri, Valerio Huber, Sebastian D. |
| contents | Quantum geometry strongly impacts physical properties in flat-band systems. We consider its role in bosonic condensation and superfluidity on flat bands, and show that the superfluid weight has an important contribution proportional to the condensate quantum metric. Based on this result, we uncover conditions under which flat-band superfluidity is unlikely. For instance, we find that stable flat-band superfluidity in a two-dimensional system requires at least three bands within Bogoliubov theory. Because the quantum geometry at the condensation momentum plays a disproportionately large role, a large integrated quantum metric is not sufficient for flat-band superfluidity, but how the quantum metric is distributed in the Brillouin zone is crucial. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_08791 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Interplay of local and global quantum geometry in the stability of flat-band superfluids Huhtinen, Kukka-Emilia Dürrnagel, Matteo Peri, Valerio Huber, Sebastian D. Quantum Gases Quantum geometry strongly impacts physical properties in flat-band systems. We consider its role in bosonic condensation and superfluidity on flat bands, and show that the superfluid weight has an important contribution proportional to the condensate quantum metric. Based on this result, we uncover conditions under which flat-band superfluidity is unlikely. For instance, we find that stable flat-band superfluidity in a two-dimensional system requires at least three bands within Bogoliubov theory. Because the quantum geometry at the condensation momentum plays a disproportionately large role, a large integrated quantum metric is not sufficient for flat-band superfluidity, but how the quantum metric is distributed in the Brillouin zone is crucial. |
| title | Interplay of local and global quantum geometry in the stability of flat-band superfluids |
| topic | Quantum Gases |
| url | https://arxiv.org/abs/2603.08791 |