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 (16)

• 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
• 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
• Generalized Symmetries in Condensed Matter
• Level/rank Duality and Chern-Simons-Matter Theories
• 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
• 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
• Unconventional Surface Critical Behaviors Induced by Quantum Phase Transition from Two-Dimensional Affleck-Kennedy-Lieb-Tasaki Phase to Néel Order
• Easy-plane QED${}_3$'s in the large $N_f$ limit
• Deconfined quantum criticality in spin-1/2 chains with long-range interactions

Cited by in corpus (1)

• Bipartite Fluctuations of Critical Fermi Surfaces