Deconfined criticality and gapless topological states have recently attracted growing attention as they lie beyond the traditional Landau paradigm. However, the deep connection between these critical states, particularly in lattice realizations, remains underexplored. In this Letter, we demonstrate that specific deconfined critical points can be regarded as intrinsically gapless topological states, using a one-dimensional lattice model. Combining field-theoretic arguments with large-scale numerical simulations, we establish the global phase diagram, revealing deconfined critical lines that separate two distinct spontaneous symmetry-breaking ordered phases. Crucially, we unambiguously demonstrate that the emergent anomaly inherent in deconfined criticality enforces robust topological edge modes near the boundary. This provides a general mechanism for realizing intrinsically gapless topological states by utilizing the inherent emergent anomaly at deconfined criticality. Our findings offer alternative perspective on deconfined criticality and advance the understanding of gapless topological phases of matter.

Close

PrevNext

View figure in article

• Density matrix renormalization group
• Edge states
• Quantum phase transitions
• 1-dimensional systems
• Topological materials