Phonon spectra, quantum geometry, and the Goldstone theorem
Fuente:
arXiv
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| Autori principali: | , , , , , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866909970214158336 |
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| author | Pellitteri, Guglielmo Dai, Zenan Hu, Haoyu Jiang, Yi Menichetti, Guido Tomadin, Andrea Bernevig, B. Andrei Polini, Marco |
| author_facet | Pellitteri, Guglielmo Dai, Zenan Hu, Haoyu Jiang, Yi Menichetti, Guido Tomadin, Andrea Bernevig, B. Andrei Polini, Marco |
| contents | Phonons are essential quasi-particles of all crystals and play a key role in fundamental properties such as thermal transport and superconductivity. In particular, acoustic phonons can be interpreted as Goldstone modes that emerge due to the spontaneous breaking of translational symmetry. In this article, we investigate the quantum geometric contribution to the phonon spectrum in the absence of Holstein phonons. Using graphene as a case study, we decompose the dynamical matrix into distinct terms that exhibit different dependencies on the electron energy and wavefunction. We then examine the role of quantum geometry in shaping the material's phonon spectrum, and we find that removing the nontrivial quantum geometric contribution from the dynamical matrix causes the acoustic phonon modes to behave in a non-analytic fashion. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_04221 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Phonon spectra, quantum geometry, and the Goldstone theorem Pellitteri, Guglielmo Dai, Zenan Hu, Haoyu Jiang, Yi Menichetti, Guido Tomadin, Andrea Bernevig, B. Andrei Polini, Marco Mesoscale and Nanoscale Physics Materials Science Phonons are essential quasi-particles of all crystals and play a key role in fundamental properties such as thermal transport and superconductivity. In particular, acoustic phonons can be interpreted as Goldstone modes that emerge due to the spontaneous breaking of translational symmetry. In this article, we investigate the quantum geometric contribution to the phonon spectrum in the absence of Holstein phonons. Using graphene as a case study, we decompose the dynamical matrix into distinct terms that exhibit different dependencies on the electron energy and wavefunction. We then examine the role of quantum geometry in shaping the material's phonon spectrum, and we find that removing the nontrivial quantum geometric contribution from the dynamical matrix causes the acoustic phonon modes to behave in a non-analytic fashion. |
| title | Phonon spectra, quantum geometry, and the Goldstone theorem |
| topic | Mesoscale and Nanoscale Physics Materials Science |
| url | https://arxiv.org/abs/2502.04221 |