`Triviality' of universal relations for disordered systems
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arXiv
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866929483327471616 |
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| author | Pastukhov, V. |
| author_facet | Pastukhov, V. |
| contents | The universal relations for spin-$1/2$ fermions with contact interaction in the presence of quenched disorder are discussed. The disorder is modeled by a random external potential with the Gaussian distribution and $δ$-like two-point correlation function. Utilizing simple scaling arguments, the renormalizability of the theory, and the Hellmann-Feynman theorem we identified the large-momentum tail of particle distribution and analog of Tan's energy relation for many-fermion systems with disorder in arbitrary dimension $d\ge 2$. It is shown that the energy-pressure relation manifests a kind of scale anomaly in two and three dimensions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_01271 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | `Triviality' of universal relations for disordered systems Pastukhov, V. Quantum Gases The universal relations for spin-$1/2$ fermions with contact interaction in the presence of quenched disorder are discussed. The disorder is modeled by a random external potential with the Gaussian distribution and $δ$-like two-point correlation function. Utilizing simple scaling arguments, the renormalizability of the theory, and the Hellmann-Feynman theorem we identified the large-momentum tail of particle distribution and analog of Tan's energy relation for many-fermion systems with disorder in arbitrary dimension $d\ge 2$. It is shown that the energy-pressure relation manifests a kind of scale anomaly in two and three dimensions. |
| title | `Triviality' of universal relations for disordered systems |
| topic | Quantum Gases |
| url | https://arxiv.org/abs/2409.01271 |