Geometric semimetals and their simulation in synthetic matter
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arXiv
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| Format: | Preprint |
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2023
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| _version_ | 1866909194332930048 |
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| author | Lin, Yu-Ping Palumbo, Giandomenico |
| author_facet | Lin, Yu-Ping Palumbo, Giandomenico |
| contents | Topological semimetals, such as the Weyl and Dirac semimetals, represent one of the most active research fields in modern condensed matter physics. The peculiar physical properties of these systems mainly originate from their underlying symmetries, emergent relativistic dispersion, and band topology. In this Letter, we present a different class of gapless systems in three dimensions, dubbed $\textit{geometric semimetals}$. These semimetals are protected by the generalized chiral and rotation symmetries, but are topologically trivial. Nevertheless, we show that their band geometry is nontrivial, as evidenced by the nonzero quantum metric trace with possible quantization. The possible realization in synthetic-matter experiments is also discussed. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2309_06442 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Geometric semimetals and their simulation in synthetic matter Lin, Yu-Ping Palumbo, Giandomenico Mesoscale and Nanoscale Physics Quantum Gases Strongly Correlated Electrons Topological semimetals, such as the Weyl and Dirac semimetals, represent one of the most active research fields in modern condensed matter physics. The peculiar physical properties of these systems mainly originate from their underlying symmetries, emergent relativistic dispersion, and band topology. In this Letter, we present a different class of gapless systems in three dimensions, dubbed $\textit{geometric semimetals}$. These semimetals are protected by the generalized chiral and rotation symmetries, but are topologically trivial. Nevertheless, we show that their band geometry is nontrivial, as evidenced by the nonzero quantum metric trace with possible quantization. The possible realization in synthetic-matter experiments is also discussed. |
| title | Geometric semimetals and their simulation in synthetic matter |
| topic | Mesoscale and Nanoscale Physics Quantum Gases Strongly Correlated Electrons |
| url | https://arxiv.org/abs/2309.06442 |