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

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.

4.1pages with supplemental materials, 15 figures. Any comments or suggestions are welcome !

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• Gapless Symmetry-Protected Topological States in Measurement-Only Circuits
• Topological physics in quantum critical systems
• Interaction-induced phase transitions at topological quantum criticality of an extended Su-Schrieffer-Heeger model
• Incommensurate gapless ferromagnetism connecting competing symmetry-enriched deconfined quantum phase transitions
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• Exploring nontrivial topology at quantum criticality in a superconducting processor
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• Generalized Li-Haldane Correspondence in Critical Dirac-Fermion Systems
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• Anomalous Dynamical Scaling at Topological Quantum Criticality
• Topologically nontrivial multicritical points