A technique extracts k-local conserved operators from iPEPS by identifying vanishing fidelity susceptibility in a quantum geometry of parameter-deformed states, yielding improved parent Hamiltonians for RVB and deformed toric code states.
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Interactions in the generalized SSH model produce interacting SPT phases, a sublattice-density-breaking phase, CDW phases, Luttinger liquids, and a gapless SPT phase with protected edge states.
Derives exact bulk-boundary correspondence allowing extraction of edge-mode degeneracy from bulk entanglement spectrum in critical free-fermion systems of arbitrary dimensions.
Deconfined criticality in a 1D lattice model is shown to be an intrinsically gapless topological state whose mixed anomaly enforces robust edge modes without gapped counterparts.
Measurement-only circuits realize gapless SPT phases with nontrivial edge states at criticality, including symmetry-enriched percolation in Ising models and persistent Z4 gSPT phases mapped to Majorana loop models.
Numerical examples show that the tensor network loop cluster expansion yields approximately exponential convergence of contraction error with cluster size for ground-state observables in high-bond-dimension tensor networks across 2D/3D spin and fermion systems.
citing papers explorer
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Extracting conserved operators from a projected entangled pair state
A technique extracts k-local conserved operators from iPEPS by identifying vanishing fidelity susceptibility in a quantum geometry of parameter-deformed states, yielding improved parent Hamiltonians for RVB and deformed toric code states.
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Quantum phases in the interacting generalized Su-Schrieffer-Heeger model
Interactions in the generalized SSH model produce interacting SPT phases, a sublattice-density-breaking phase, CDW phases, Luttinger liquids, and a gapless SPT phase with protected edge states.
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Generalized Li-Haldane Correspondence in Critical Dirac-Fermion Systems
Derives exact bulk-boundary correspondence allowing extraction of edge-mode degeneracy from bulk entanglement spectrum in critical free-fermion systems of arbitrary dimensions.
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Deconfined criticality as intrinsically gapless topological state in one dimension
Deconfined criticality in a 1D lattice model is shown to be an intrinsically gapless topological state whose mixed anomaly enforces robust edge modes without gapped counterparts.
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Gapless Symmetry-Protected Topological States in Measurement-Only Circuits
Measurement-only circuits realize gapless SPT phases with nontrivial edge states at criticality, including symmetry-enriched percolation in Ising models and persistent Z4 gSPT phases mapped to Majorana loop models.
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Tensor Network Loop Cluster Expansions for Quantum Many-Body Problems
Numerical examples show that the tensor network loop cluster expansion yields approximately exponential convergence of contraction error with cluster size for ground-state observables in high-bond-dimension tensor networks across 2D/3D spin and fermion systems.