Gifts from long-range interaction: Emergent gapless topological behaviors in quantum spin chain

• URL: http://arxiv.org/abs/2406.01974v1
• Date: Tue, 4 Jun 2024 05:18:44 GMT
• Title: Gifts from long-range interaction: Emergent gapless topological behaviors in quantum spin chain
• Authors: Sheng Yang, Hai-Qing Lin, Xue-Jia Yu,
• Abstract summary: Topology in condensed matter physics is typically associated with a bulk energy gap. Recent research has shifted focus to topological phases without a bulk energy gap, exhibiting nontrivial gapless topological behaviors.
• Score: 4.5353840616537555
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: 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.

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