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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2023
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| Accès en ligne: | https://arxiv.org/abs/2307.05699 |
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| _version_ | 1866917558812147712 |
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| author | Vasiliou, Konstantinos He, Yuchi Bultinck, Nick |
| author_facet | Vasiliou, Konstantinos He, Yuchi Bultinck, Nick |
| contents | We consider electronic systems with a spontaneously broken continuous symmetry. The scattering vertex between electrons and Goldstone modes is calculated over the entire Brillouin zone using the random phase approximation. This calculation reveals two things: (1) electrons always couple to both $ϕ$ and $\partial_t ϕ$, where $ϕ$ is the Goldstone field, and (2) quasi-particles in a state with continuous symmetry breaking have to be defined in a rotating frame, which locally follows the fluctuations of the order parameter. The implications of these findings for electron spectral functions in both symmetry-broken and thermally disordered systems are discussed, and the examples of anti-ferromagnetism in the Hubbard model and spin spiral order in the three-band model are worked out in detail. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2307_05699 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Electrons interacting with Goldstone modes and the rotating frame Vasiliou, Konstantinos He, Yuchi Bultinck, Nick Strongly Correlated Electrons We consider electronic systems with a spontaneously broken continuous symmetry. The scattering vertex between electrons and Goldstone modes is calculated over the entire Brillouin zone using the random phase approximation. This calculation reveals two things: (1) electrons always couple to both $ϕ$ and $\partial_t ϕ$, where $ϕ$ is the Goldstone field, and (2) quasi-particles in a state with continuous symmetry breaking have to be defined in a rotating frame, which locally follows the fluctuations of the order parameter. The implications of these findings for electron spectral functions in both symmetry-broken and thermally disordered systems are discussed, and the examples of anti-ferromagnetism in the Hubbard model and spin spiral order in the three-band model are worked out in detail. |
| title | Electrons interacting with Goldstone modes and the rotating frame |
| topic | Strongly Correlated Electrons |
| url | https://arxiv.org/abs/2307.05699 |