Critical Behavior and Duality in Dimensionally Reduced Planar Chern-Simons Superconductors
arXiv:2305.10295 · doi:10.1103/PhysRevB.108.L220504
Abstract
Tha quantum electrodynamics of particles constrained to move on a plane is not a fully dimensionally reduced theory because the gauge fields through which they interact live in higher dimensions. By constraining the gauge field to the surface of the bulk, we obtain a fully reduced planar Abelian Chern-Simons Higgs model that can describe the vortex dynamics and second-order superconducting-normal phase transitions in planar Chern-Simons superconductors. Dual analyses performed before and after dimensional reduction yield the same Lagrangian for describing the vortex dynamics, indicating the self-consistency of our reduced theory. Compared to ordinary (2+1)-dimensional electrodynamics, we obtain anomalous fermion statistical vortices, consistent with results considering boundary effects. An additional electric charge constraint and different Chern-Simons parameter constraints are also found, which may help define a self-dual conformal field theory. Our renormalization group analysis shows that the quantized critical exponent depends on the Chern-Simons parameter. Quench disorder can bring more stable fixed points with different dynamical critical exponents. If we dimensionally reduce to a curved surface, our theory can also be extended to curved spacetimes, where geometric flow will be introduced and compete with vortex flow.
17 pages, 8 figures
References in corpus (45)
- The electronic properties of graphene
- Topological Insulators
- Experimental Observation of Quantum Hall Effect and Berry's Phase in Graphene
- Quantum Spin Hall Effect in Graphene
- Topological Order and the Quantum Spin Hall Effect
- Topological Field Theory of Time-Reversal Invariant Insulators
- Classification of topological quantum matter with symmetries
- "Deconfined" quantum critical points
- A Duality Web in 2+1 Dimensions and Condensed Matter Physics
- Quantum critical transport, duality, and M-theory
- Bosonic topological insulator in three dimensions and the statistical Witten effect
- What Maxwell Theory in D<>4 teaches us about scale and conformal invariance
- Large theory of critical Fermi surfaces
- Particle-Vortex Duality and the Modular Group: Applications to the Quantum Hall Effect and Other 2-D Systems
- Discovery of a pair density wave state in a monolayer high-Tc iron-based superconductor
- Quantum superconducting criticality in graphene and topological insulators
- Large theory of critical Fermi surfaces II: conductivity
- Brillouin Klein Bottle From Artificial Gauge Fields
- Many-body Chern number without integration
- 3d Abelian Gauge Theories at the Boundary
- Symmetry-protected topological phases with charge and spin symmetries: response theory and dynamical gauge theory in 2D, 3D and the surface of 3D
- Critical behavior of the QED-Gross-Neveu model: Duality and deconfined criticality
- Unitarity of theories containing fractional powers of the d'Alembertian operator
- Coulomb instabilities of 3D higher-order topological insulators
- Non-Abelian Majorana modes protected by an emergent second Chern number
- QED with quenched disorder: quantum critical states with interactions and disorder
- New Universality Class of Quantum Criticality in Ce- and Yb-based Heavy Fermions
- Two dimensional metallic phases from disordered QED
- Topological Quantum Phase Transition in Synthetic Non-Abelian Gauge Potential
- Geometric Induction in Chiral Superconductors
- Interlayer Pairing Symmetry of Composite Fermions in Quantum Hall Bilayers
- The fully frustrated XY model revisited: A new universality class
- Quantum magnetism of spinor bosons in optical lattices with synthetic non-Abelian gauge fields
- Non-Fermi-Liquid Behavior from Cavity Electromagnetic Vacuum Fluctuations at the Superradiant Transition
- QED-inspired three-dimensional conformal lattice gauge theory without fine-tuning
- Collective excitations in chiral Stoner magnets
- Deconfined criticality and bosonization duality in easy-plane Chern-Simons two-dimensional antiferromagnets
- Bounded particle interactions driven by a nonlocal dual Chern-Simons model
- Magnetic response of nematic superconductors: skyrmion stripes and their signatures in muon spin relaxation experiments
- Collisionless Transport Close to a Fermionic Quantum Critical Point in Dirac Materials
- Frozen deconfined quantum criticality
- Bosonization in 2+1 dimensions via Chern-Simons bosonic particle-vortex duality
- Influence of the four-fermion interactions in (2+1)D massive electrons system
- Effects of the Pseudo-Chern-Simons action for strongly correlated electrons in the plane
- Rotons in Anyon Superfluids