Quantum Geometry in Quantum Materials
Fuente:
arXiv
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| Autori principali: | , , , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866916652176637952 |
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| author | Yu, Jiabin Bernevig, B. Andrei Queiroz, Raquel Rossi, Enrico Törmä, Päivi Yang, Bohm-Jung |
| author_facet | Yu, Jiabin Bernevig, B. Andrei Queiroz, Raquel Rossi, Enrico Törmä, Päivi Yang, Bohm-Jung |
| contents | Quantum geometry, characterized by the quantum geometric tensor, is pivotal in diverse physical phenomena in quantum materials. In condensed matter systems, quantum geometry refers to the geoemtric properties of Bloch states in the Brillouin zone. This pedagogical review provides an accessible introduction to the concept of quantum geometry, emphasizing its extensive implications across multiple domains. Specifically, we discuss the role of quantum geometry in optical responses, Landau levels, and fractional Chern insulators, as well as its influence on superfluid weight, spin stiffness, exciton condensates, electron-phonon coupling, etc. By integrating these topics, we underscore the pervasive significance of quantum geometry in understanding emergent behaviors in quantum materials. Finally, we present an outlook on open questions and potential future directions, highlighting the need for continued exploration in this rapidly developing field. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_00098 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Quantum Geometry in Quantum Materials Yu, Jiabin Bernevig, B. Andrei Queiroz, Raquel Rossi, Enrico Törmä, Päivi Yang, Bohm-Jung Mesoscale and Nanoscale Physics Materials Science Superconductivity Quantum geometry, characterized by the quantum geometric tensor, is pivotal in diverse physical phenomena in quantum materials. In condensed matter systems, quantum geometry refers to the geoemtric properties of Bloch states in the Brillouin zone. This pedagogical review provides an accessible introduction to the concept of quantum geometry, emphasizing its extensive implications across multiple domains. Specifically, we discuss the role of quantum geometry in optical responses, Landau levels, and fractional Chern insulators, as well as its influence on superfluid weight, spin stiffness, exciton condensates, electron-phonon coupling, etc. By integrating these topics, we underscore the pervasive significance of quantum geometry in understanding emergent behaviors in quantum materials. Finally, we present an outlook on open questions and potential future directions, highlighting the need for continued exploration in this rapidly developing field. |
| title | Quantum Geometry in Quantum Materials |
| topic | Mesoscale and Nanoscale Physics Materials Science Superconductivity |
| url | https://arxiv.org/abs/2501.00098 |