Gifts from long-range interaction: Emergent gapless topological behaviors in quantum spin chain
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866913670378815488 |
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| author | Yang, Sheng Lin, Hai-Qing Yu, Xue-Jia |
| author_facet | Yang, Sheng Lin, Hai-Qing Yu, Xue-Jia |
| contents | Topology in condensed matter physics is typically associated with a bulk energy gap. However, recent research has shifted focus to topological phases without a bulk energy gap, exhibiting nontrivial gapless topological behaviors. In this letter, we explore a cluster Ising chain with long-range antiferromagnetic interactions that decay as a power law with the distance. Using complementary numerical and analytical techniques, we demonstrate that long-range interactions can unambiguously induce an algebraic topological phase and a topological Gaussian universality, both of which exhibit nontrivial gapless topological behaviors. Our study not only provides a platform to investigate the fundamental physics of quantum many-body systems but also offers a novel route toward searching for gapless topological phases in realistic quantum simulators. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_01974 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Gifts from long-range interaction: Emergent gapless topological behaviors in quantum spin chain Yang, Sheng Lin, Hai-Qing Yu, Xue-Jia Strongly Correlated Electrons Quantum Gases Statistical Mechanics Quantum Physics Topology in condensed matter physics is typically associated with a bulk energy gap. However, recent research has shifted focus to topological phases without a bulk energy gap, exhibiting nontrivial gapless topological behaviors. In this letter, we explore a cluster Ising chain with long-range antiferromagnetic interactions that decay as a power law with the distance. Using complementary numerical and analytical techniques, we demonstrate that long-range interactions can unambiguously induce an algebraic topological phase and a topological Gaussian universality, both of which exhibit nontrivial gapless topological behaviors. Our study not only provides a platform to investigate the fundamental physics of quantum many-body systems but also offers a novel route toward searching for gapless topological phases in realistic quantum simulators. |
| title | Gifts from long-range interaction: Emergent gapless topological behaviors in quantum spin chain |
| topic | Strongly Correlated Electrons Quantum Gases Statistical Mechanics Quantum Physics |
| url | https://arxiv.org/abs/2406.01974 |