Direct measurement of the quantum metric tensor in solids.
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| Title: | Direct measurement of the quantum metric tensor in solids. |
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| Authors: | Kim, Sunje, Chung, Yoonah, Qian, Yuting, Park, Soobin, Jozwiak, Chris, Rotenberg, Eli, Bostwick, Aaron, Kim, Keun Su, Yang, Bohm-Jung |
| Source: | Science. 6/5/2025, Vol. 388 Issue 6751, p1050-1054. 5p. |
| Subjects: | Quantum states, Momentum space, Photoelectron spectroscopy, Photoemission, Optical polarization |
| Abstract: | The quantum metric tensor is a central geometric quantity in modern physics that is defined as the distance between nearby quantum states. Despite numerous studies highlighting its relevance to fundamental physical phenomena in solids, measuring the complete quantum metric tensors in real solid-state materials is challenging. In this work, we report a direct measurement of the full quantum metric tensors of Bloch electrons in solids using black phosphorus as a representative material. We extracted the momentum space distribution of the pseudospin texture of the valence band from the polarization dependence of angle-resolved photoemission spectroscopy measurement. Our approach is poised to advance our understanding of quantum geometric responses in a wide class of crystalline systems. Editor's summary: The quantum metric, the real part of the complex-valued quantum geometric tensor, has a bearing on the electronic properties of solids, including transport. Although the quantum metric has been measured directly in artificial systems, determining the full tensor in solids has proven tricky. Kim et al. extracted this quantity using photoemission measurements in black phosphorus. The researchers expect that their methodology can be extended to other materials with related band structures. —Jelena Stajic [ABSTRACT FROM AUTHOR] |
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| Database: | Psychology and Behavioral Sciences Collection |
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| Abstract: | The quantum metric tensor is a central geometric quantity in modern physics that is defined as the distance between nearby quantum states. Despite numerous studies highlighting its relevance to fundamental physical phenomena in solids, measuring the complete quantum metric tensors in real solid-state materials is challenging. In this work, we report a direct measurement of the full quantum metric tensors of Bloch electrons in solids using black phosphorus as a representative material. We extracted the momentum space distribution of the pseudospin texture of the valence band from the polarization dependence of angle-resolved photoemission spectroscopy measurement. Our approach is poised to advance our understanding of quantum geometric responses in a wide class of crystalline systems. Editor's summary: The quantum metric, the real part of the complex-valued quantum geometric tensor, has a bearing on the electronic properties of solids, including transport. Although the quantum metric has been measured directly in artificial systems, determining the full tensor in solids has proven tricky. Kim et al. extracted this quantity using photoemission measurements in black phosphorus. The researchers expect that their methodology can be extended to other materials with related band structures. —Jelena Stajic [ABSTRACT FROM AUTHOR] |
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| ISSN: | 00368075 |
| DOI: | 10.1126/science.ado6049 |
