Deconfined Quantum Critical Point with Non-locality

Abstract

The deconfined quantum critical point (DQCP) between the Néel and valence bond solid (VBS) order was originally proposed in quantum spin systems with a local Hamiltonian. In the last few years analogues of DQCPs with nonlocal interactions have been explored, which can lead to rich possibilities. The nonlocal interactions can either arise from an instantaneous long range interaction in the Hamiltonian, or from gapless modes that reside in one higher spatial dimension. Here we consider another mechanism of generating nonlocal interactions by coupling the DQCP to the "hot spots" of a Fermi surface. We demonstrate that at least within a substantial energy window, the physics of the DQCP is controlled by a new fixed point with dynamical exponent $z>1$

References in corpus (56)

• Generalized Global Symmetries
• "Deconfined" quantum critical points
• Quantum criticality beyond the Landau-Ginzburg-Wilson paradigm
• Evidence for deconfined quantum criticality in a two-dimensional Heisenberg model with four-spin interactions
• Coupling a QFT to a TQFT and Duality
• Reading between the lines of four-dimensional gauge theories
• Physics of three dimensional bosonic topological insulators: Surface Deconfined Criticality and Quantized Magnetoelectric Effect
• Quantum phase transitions of metals in two spatial dimensions: II. Spin density wave order
• Deconfined quantum critical points: symmetries and dualities
• Generalized Symmetries in Condensed Matter
• Level/rank Duality and Chern-Simons-Matter Theories
• A symmetry principle for Topological Quantum Order
• Emergent Photons and New Transitions in the O(3) Sigma Model with Hedgehog Suppression
• Quantum criticality with two length scales
• Competing orders, non-linear sigma models, and topological terms in quantum magnets
• Comments on One-Form Global Symmetries and Their Gauging in 3d and 4d
• Scaling in the Fan of an Unconventional Quantum Critical Point
• Theory of a continuous Mott transition in two dimensions
• Continuous quantum phase transition between an antiferromagnet and a valence-bond-solid in two dimensions; evidence for logarithmic corrections to scaling
• Emergent $SO(5)$ Symmetry at the Néel to Valence-Bond-Solid Transition
• Bootstrapping the O(N) Archipelago
• Deconfined Quantum Criticality, Scaling Violations, and Classical Loop Models
• Field Theories With a Vector Global Symmetry
• Explicit derivation of duality between a free Dirac cone and quantum electrodynamics in (2+1) dimensions
• Quantum criticality of U(1) gauge theories with fermionic and bosonic matter in two spatial dimensions
• Duality between the deconfined quantum-critical point and the bosonic topological transition
• Duality between $(2+1)d$ Quantum Critical Points
• Conformal Bootstrap Dashing Hopes of Emergent Symmetry
• A theory of deconfined pseudo-criticality
• Ground states of a frustrated quantum spin chain with long-range interactions
• Scaling of entanglement entropy at deconfined quantum criticality
• Self-dual Quantum Electrodynamics as Boundary State of the three dimensional Bosonic Topological Insulator
• Unconventional Surface Critical Behaviors Induced by Quantum Phase Transition from Two-Dimensional Affleck-Kennedy-Lieb-Tasaki Phase to Néel Order
• Note on Wess-Zumino-Witten models and quasiuniversality in 2+1 dimensions
• Phases of the (2+1) dimensional SO(5) non-linear sigma model with topological term
• Boundary critical behavior of the three-dimensional Heisenberg universality class
• Exact critical exponents for the antiferromagnetic quantum critical metal in two dimensions
• Stiefel Liquids: Possible Non-Lagrangian Quantum Criticality from Intertwined Orders
• Boundary Criticality of the 3D O($N$) Model: From Normal to Extraordinary
• Engineering Surface Critical Behavior of (2+1)-Dimensional O(3) Quantum Critical Points
• Nonordinary criticality at the edges of planar spin-1 Heisenberg antiferromagnets
• Deconfined Quantum Critical Point on the Triangular Lattice
• Nonordinary edge criticaliy of two-dimensional quantum critical magnets
• Superfluid-Insulator Transitions on the Triangular Lattice
• Realizing topological surface states in a lower-dimensional flat band
• Easy-plane QED${}_3$'s in the large $N_f$ limit
• Continuous Néel-VBS Quantum Phase Transition in Non-Local one-dimensional systems with SO(3) Symmetry
• Edge physics at the deconfined transition between a quantum spin Hall insulator and a superconductor
• Magnetic impurities at quantum critical points: large-$N$ expansion and SPT connections
• Deconfined quantum criticality in spin-1/2 chains with long-range interactions
• Competing Orders and non-Landau-Ginzburg-Wilson Criticality in (Bose) Mott transitions
• Theory of a continuous bandwidth-tuned Wigner-Mott transition
• Metal-Insulator Transition with Charge Fractionalization
• Topological Edge and Interface states at Bulk disorder-to-order Quantum Critical Points
• Geodesically Complete Metrics Induce Boundary Non-locality in Holography: Consequences for the Entanglement Entropy
• Stable Interacting (2 + 1)d Conformal Field Theories at the Boundary of a class of (3 + 1)d Symmetry Protected Topological Phases

Cited by in corpus (1)

• Bipartite Fluctuations of Critical Fermi Surfaces