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.

arXiv comment4 pages with supplemental materials, 9 figures

References in corpus (128)

• The density-matrix renormalization group in the age of matrix product states
• Entanglement Entropy and Quantum Field Theory
• A Practical Introduction to Tensor Networks: Matrix Product States and Projected Entangled Pair States
• Entanglement Spectrum as a Generalization of Entanglement Entropy: Identification of Topological Order in Non-Abelian Fractional Quantum Hall Effect States
• Entanglement entropy and conformal field theory
• "Deconfined" quantum critical points
• Entanglement spectrum of a topological phase in one dimension
• Continuous Quantum Phase Transitions
• The ITensor Software Library for Tensor Network Calculations
• 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
• Studying Two Dimensional Systems With the Density Matrix Renormalization Group
• Theory of finite-entanglement scaling at one-dimensional quantum critical points
• Deconfined quantum critical points: symmetries and dualities
• Scaling of entanglement support for Matrix Product States
• Quantum criticality with two length scales
• Competing orders, non-linear sigma models, and topological terms in quantum magnets
• Scaling in the Fan of an Unconventional Quantum Critical Point
• Antiferromagnetic to valence-bond-soild transitions in two-dimensional SU(N) Heisenberg models with multi-spin interactions
• Particle-vortex duality of 2d Dirac fermion from electric-magnetic duality of 3d topological insulators
• Continuous quantum phase transition between an antiferromagnet and a valence-bond-solid in two dimensions; evidence for logarithmic corrections to scaling
• Majorana Zero Modes in 1D Quantum Wires Without Long-Ranged Superconducting Order
• Emergent $SO(5)$ Symmetry at the Néel to Valence-Bond-Solid Transition
• Deconfined Quantum Criticality, Scaling Violations, and Classical Loop Models
• Gapless topological phases and symmetry-enriched quantum criticality
• Topology and edge modes in quantum critical chains
• Intrinsically Gapless Topological Phases
• Gapless Symmetry Protected Topological Order
• Deconfined quantum criticality and Neel order via dimer disorder
• Many-body spin Berry phases emerging from the $\pi$-flux state: antiferromagnetic/valence-bond-solid competition
• A Gapless Symmetry-Protected Topological Phase of Fermions in One Dimension
• Matrix product states for critical spin chains: finite size scaling versus finite entanglement scaling
• A lattice model for the SU(N) Neel-VBS quantum phase transition at large N
• Duality between the deconfined quantum-critical point and the bosonic topological transition
• Fate of CP(N-1) fixed points with q-monopoles
• Unifying Description of Competing Orders in Two Dimensional Quantum Magnets
• Topological spin Hall states, charged skyrmions, and superconductivity in two dimensions
• Duality between $(2+1)d$ Quantum Critical Points
• Quantum phases of SrCu2(BO3)2 from high-pressure thermodynamics
• Dynamical Signature of Fractionalization at the Deconfined Quantum Critical Point
• Majorana Edge States in Interacting Two-chain Ladders of Fermions
• Confinement transition of ${\mathbb{Z}}_2$ gauge theories coupled to massless fermions: emergent QCD${}_3$ and $SO(5)$ symmetry
• A theory of deconfined pseudo-criticality
• Topological Luttinger Liquids from Decorated Domain Walls
• Superconductivity from the Condensation of Topological Defects in a Quantum Spin-Hall Insulator
• Scaling of entanglement entropy at deconfined quantum criticality
• Ising ferromagnet to valence bond solid transition in a one-dimensional spin chain: Analogies to deconfined quantum critical points
• Deconfined quantum critical point in one dimension
• Note on Wess-Zumino-Witten models and quasiuniversality in 2+1 dimensions
• The Prediction of a Gapless Topological "Haldane Liquid" Phase in a One-Dimensional Cold Polar Molecular Lattice
• An Adventure in Topological Phase Transitions in 3 + 1-D: Non-abelian Deconfined Quantum Criticalities and a Possible Duality
• Proximate deconfined quantum critical point in SrCu2(BO3)2
• Signatures of a Deconfined Phase Transition on the Shastry-Sutherland Lattice: Applications to Quantum Critical SrCu${}_2$(BO${}_3$)${}_2$
• 3D loop models and the CP^{n-1} sigma model
• Symmetric Fermion Mass Generation as Deconfined Quantum Criticality
• From spinon band topology to the symmetry quantum numbers of monopoles in Dirac spin liquids
• Topological degeneracy and pairing in a one-dimensional gas of spinless Fermions
• Symmetry enhanced first-order phase transition in a two-dimensional quantum magnet
• Conformal Boundary Conditions of Symmetry-Enriched Quantum Critical Spin Chains
• Emergence and spontaneous breaking of approximate O(4) symmetry at a weakly first-order deconfined phase transition
• Emergent Symmetry and Conserved Current at a One Dimensional Incarnation of Deconfined Quantum Critical Point
• Monopoles in CP(N-1) model via the state-operator correspondence
• Multicritical deconfined quantum-criticality and Lifshitz point of a helical valence-bond phase
• Emmy Noether looks at the deconfined quantum critical point
• Scaling of disorder operator at deconfined quantum criticality
• Duality and bosonization of (2+1)d Majorana fermions
• Half-filled Landau levels: a continuum and sign-free regularization for 3D quantum critical points
• Bulk-boundary correspondence for intrinsically-gapless SPTs from group cohomology
• Phase transitions in 3D loop models and the $C{P}^{n-1}$ $\sigma$ model
• Emergent SO(5) symmetry at the columnar ordering transition in the classical cubic dimer model
• Gauging the Kitaev chain
• The $\mathrm{SO}(5)$ Deconfined Phase Transition under the Fuzzy Sphere Microscope: Approximate Conformal Symmetry, Pseudo-Criticality, and Operator Spectrum
• Consistent scaling exponents at the deconfined quantum-critical point
• Exactly solvable model for a deconfined quantum critical point in 1D
• Deconfined Quantum Critical Point on the Triangular Lattice
• Topological and symmetry-enriched random quantum critical points
• Level spectroscopy in a two-dimensional quantum magnet: Linearly dispersing spinons at the deconfined quantum critical point
• Unconventional Quantum Critical Points
• Decorated Defect Construction of Gapless-SPT States
• Topologically-Protected Long Edge Coherence Times in Symmetry-Broken Phases
• Topological holography, quantum criticality, and boundary states
• Universal entanglement spectrum in gapless symmetry protected topological states
• From one-dimensional charge conserving superconductors to the gapless Haldane phase
• Unconventional Superconducting Quantum Criticality in Monolayer WTe2
• Doubling of Entanglement Spectrum in Tensor Renormalization Group
• Valence-bond solids, vestigial order, and emergent SO(5) symmetry in a two-dimensional quantum magnet
• Phases of (2+1)D SO(5) non-linear sigma model with a topological term on a sphere: multicritical point and disorder phase
• Landau-Forbidden Quantum Criticality in Rydberg Quantum Simulators
• Large-N estimates of universal amplitudes of the CP^{N-1} theory and comparison with the JQ model
• Topological edge modes without symmetry in quasiperiodically driven spin chains
• Intrinsically/Purely Gapless-SPT from Non-Invertible Duality Transformations
• Edge physics at the deconfined transition between a quantum spin Hall insulator and a superconductor
• New easy-plane ${\mathbb{CP}}^{N-1}$ fixed points
• Entanglement Structure of Deconfined Quantum Critical Points
• Multi-critical topological transition at quantum criticality
• Landau ordering phase transitions beyond the Landau paradigm
• Diagnosing $SO(5)$ Symmetry and First-Order Transition in the $J-Q_3$ Model via Entanglement Entropy
• Exotic continuous quantum phase transition between Z2 topological spin liquid and Neel order
• Evolution of entanglement entropy at SU($N$) deconfined quantum critical points
• Signatures of topological phase transition on a quantum critical line
• Lattice T-duality from non-invertible symmetries in quantum spin chains
• Quantum phase transition and critical behavior between the gapless topological phases
• One-dimensional model for deconfined criticality with ${\mathbb{Z}}_3\times {\mathbb{Z}}_3$ symmetry
• 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
• Continuous phase transition between Neel and valence bond solid phases in a J-Q-like spin ladder system
• 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
• Emergent Symmetry in Quantum Phase Transitions: From Deconfined Quantum Critical Point to Gapless Quantum Spin Liquid
• Quantum criticality with emergent symmetry in the extended Shastry-Sutherland model
• Quantum Phase Transition between Z2 spin liquid and columnar Valence Bond Crystals on a Triangular lattice
• 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
• Symmetry-protected topological phases and competing orders in a spin-1/2 XXZ ladder with a four-spin interaction
• 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
• Dirac spin liquid as an "unnecessary" quantum critical point on square lattice antiferromagnets
• Gauge theory and mixed state criticality
• Topological physics in quantum critical systems
• Incommensurate gapless ferromagnetism connecting competing symmetry-enriched deconfined quantum phase transitions

Cited by in corpus (3)

• Generalized Li-Haldane Correspondence in Critical Dirac-Fermion Systems
• Anomalous Dynamical Scaling at Topological Quantum Criticality
• Topologically nontrivial multicritical points