Geometric Superfluid Weight in Quasicrystals
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arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866912775160201216 |
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| author | Sun, Junsong Guo, Huaiming Yang, Bohm-Jung |
| author_facet | Sun, Junsong Guo, Huaiming Yang, Bohm-Jung |
| contents | We study the geometric contribution to the superfluidity in quasicrystals in which the conventional momentum-space quantum geometric tensor cannot be defined due to the lack of translational invariance. Based on the correspondence between the momentum and magnetic flux, we introduce the flux-space quantum metric in finite-size closed systems and reveal its contribution to the superfluid weight in quasicrystalline superconductors. As a toy model, we study the attractive Hubbard model on the Fibonacci quasiperiodic stub lattices that host flat energy spectra even in the presence of quasiperiodic hoppings. In the weak-coupling limit, we establish the relation between superfluid weight and the flux-space quantum metric in quasicrystal superconductors with flat energy spectra. Moreover, by analyzing the spread of Wannier functions, we propose a general fluctuation mechanism that explains how quasiperiodicity modulates the integrated flux-space quantum metric. Our theory provides a general way to examine the effect of the quantum geometry in systems lacking translational symmetry. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_20540 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Geometric Superfluid Weight in Quasicrystals Sun, Junsong Guo, Huaiming Yang, Bohm-Jung Superconductivity We study the geometric contribution to the superfluidity in quasicrystals in which the conventional momentum-space quantum geometric tensor cannot be defined due to the lack of translational invariance. Based on the correspondence between the momentum and magnetic flux, we introduce the flux-space quantum metric in finite-size closed systems and reveal its contribution to the superfluid weight in quasicrystalline superconductors. As a toy model, we study the attractive Hubbard model on the Fibonacci quasiperiodic stub lattices that host flat energy spectra even in the presence of quasiperiodic hoppings. In the weak-coupling limit, we establish the relation between superfluid weight and the flux-space quantum metric in quasicrystal superconductors with flat energy spectra. Moreover, by analyzing the spread of Wannier functions, we propose a general fluctuation mechanism that explains how quasiperiodicity modulates the integrated flux-space quantum metric. Our theory provides a general way to examine the effect of the quantum geometry in systems lacking translational symmetry. |
| title | Geometric Superfluid Weight in Quasicrystals |
| topic | Superconductivity |
| url | https://arxiv.org/abs/2507.20540 |