Deconfined criticality as intrinsically gapless topological state in one dimension

Abstract

Deconfined criticality and gapless topological states have recently attracted growing attention, as both phenomena go beyond the traditional Landau paradigm. However, the deep connection between these two critical states, particularly in lattice realization, remains insufficiently explored. In this Letter, we reveal that certain deconfined criticality can be regarded as an intrinsically gapless topological state without gapped counterparts in a one dimensional lattice model. Using a combination of field-theoretic arguments and large-scale numerical simulations, we establish the global phase diagram of the model, which features deconfined critical lines separating two distinct spontaneous symmetry breaking ordered phases. More importantly, we unambiguously demonstrate that the mixed anomaly inherent to deconfined criticality enforces topologically robust edge modes near the boundary, providing a general mechanism by which deconfined criticality manifests as a gapless topological state. Our findings not only offer a new perspective on deconfined criticality but also deepen our understanding of gapless topological phases of matter.

4 pages with supplemental materials, 9 figures

References in corpus (56)

• The density-matrix renormalization group in the age of matrix product states
• Entanglement Spectrum as a Generalization of Entanglement Entropy: Identification of Topological Order in Non-Abelian Fractional Quantum Hall Effect States
• "Deconfined" quantum critical points
• Quantum criticality beyond the Landau-Ginzburg-Wilson paradigm
• Matrix product states represent ground states faithfully
• Evidence for deconfined quantum criticality in a two-dimensional Heisenberg model with four-spin interactions
• A Duality Web in 2+1 Dimensions and Condensed Matter Physics
• Scaling of entanglement support for Matrix Product States
• Scaling in the Fan of an Unconventional Quantum Critical Point
• Many-body spin Berry phases emerging from the $\pi$-flux state: antiferromagnetic/valence-bond-solid competition
• Matrix product states for critical spin chains: finite size scaling versus finite entanglement scaling
• A Gapless Symmetry-Protected Topological Phase of Fermions in One Dimension
• Duality between the deconfined quantum-critical point and the bosonic topological transition
• Deconfined quantum critical point in one dimension
• The Prediction of a Gapless Topological "Haldane Liquid" Phase in a One-Dimensional Cold Polar Molecular Lattice
• Proximate deconfined quantum critical point in SrCu2(BO3)2
• Conformal Boundary Conditions of Symmetry-Enriched Quantum Critical Spin Chains
• Monopoles in CP(N-1) model via the state-operator correspondence
• Bulk-boundary correspondence for intrinsically-gapless SPTs from group cohomology
• The $\mathrm{SO}(5)$ Deconfined Phase Transition under the Fuzzy Sphere Microscope: Approximate Conformal Symmetry, Pseudo-Criticality, and Operator Spectrum
• Exactly solvable model for a deconfined quantum critical point in 1D
• Level spectroscopy in a two-dimensional quantum magnet: Linearly dispersing spinons at the deconfined quantum critical point
• Decorated Defect Construction of Gapless-SPT States
• Topological holography, quantum criticality, and boundary states
• Universal entanglement spectrum in gapless symmetry protected topological states
• Unconventional Superconducting Quantum Criticality in Monolayer WTe2
• Phases of (2+1)D SO(5) non-linear sigma model with a topological term on a sphere: multicritical point and disorder phase
• Large-N estimates of universal amplitudes of the CP^{N-1} theory and comparison with the JQ model
• Landau-Forbidden Quantum Criticality in Rydberg Quantum Simulators
• Intrinsically/Purely Gapless-SPT from Non-Invertible Duality Transformations
• Edge physics at the deconfined transition between a quantum spin Hall insulator and a superconductor
• Diagnosing $SO(5)$ Symmetry and First-Order Transition in the $J-Q_3$ Model via Entanglement Entropy
• Signatures of topological phase transition on a quantum critical line
• Evolution of entanglement entropy at SU($N$) deconfined quantum critical points
• Lattice T-duality from non-invertible symmetries in quantum spin chains
• Quantum phase transition and critical behavior between the gapless topological phases
• Gapless symmetry-protected topological phases and generalized deconfined critical points from gauging a finite subgroup
• Gifts from long-range interaction: Emergent gapless topological behaviors in quantum spin chain
• Frustrated extended Bose-Hubbard model and deconfined quantum critical points with optical lattices at the anti-magic wavelength
• Quantum phase transition between topologically distinct quantum critical points
• Entanglement entropy and deconfined criticality: emergent SO(5) symmetry and proper lattice bipartition
• Topological edge modes and phase transition in the critical fermionic chain with long-range interaction
• Quantum criticality with emergent symmetry in the extended Shastry-Sutherland model
• Emergent Symmetry in Quantum Phase Transitions: From Deconfined Quantum Critical Point to Gapless Quantum Spin Liquid
• Boundary deconfined quantum criticality at transitions between symmetry-protected topological chains
• Topological edge states at Floquet quantum criticality
• Topological phase transition between non-high symmetry critical phases and curvature function renormalization group
• Emergent self-duality in long range critical spin chain: from deconfined criticality to first order transition
• Quantum entanglement of fermionic symmetry-enriched quantum critical points in one dimension
• Gapless Symmetry-Protected Topological States in Measurement-Only Circuits
• Deconfined quantum criticality of nodal $d$-wave superconductivity, Néel order, and charge order on the square lattice at half-filling
• Deconfined quantum critical point lost in pressurized SrCu2(BO3)2
• Gauge theory and mixed state criticality
• Topological physics in quantum critical systems
• Dirac spin liquid as an "unnecessary" quantum critical point on square lattice antiferromagnets
• Incommensurate gapless ferromagnetism connecting competing symmetry-enriched deconfined quantum phase transitions

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• Generalized Li-Haldane Correspondence in Critical Dirac-Fermion Systems
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• Topologically nontrivial multicritical points