Emergent Gauge Fields in Band Insulators

Abstract

By explicit microscopic construction involving a mapping to a quantum vertex model subject to the `ice rule,' we show that an electronically `trivial' band insulator with suitable vibrational (phonon) degrees of freedom can host a ``resonating valence-bond'' state - a quantum phase with emergent gauge fields. This novel type of band insulator is identifiable by the existence of emergent gapless `photon' modes and deconfined excitations, the latter of which carry non-quantized mobile charges. We suggest that such phases may exist in the quantum regimes of various nearly ferroelectric materials.

References in corpus (44)

• Topological insulators and superconductors
• Anyons in an exactly solved model and beyond
• Quantum Spin Liquids
• Quantum Spin Liquid States
• Magnetic Monopoles in Spin Ice
• Quantum Spin Liquids
• Zoo of quantum-topological phases of matter
• Probing Topological Spin Liquids on a Programmable Quantum Simulator
• Lieb-Schultz-Mattis in Higher Dimensions
• Pyrochlore Photons: The U(1) Spin Liquid in a S=1/2 Three-Dimensional Frustrated Magnet
• A Field Guide to Spin Liquids
• Quantum Spin Ice: A Search for Gapless Quantum Spin Liquids in Pyrochlore Magnets
• The "Coulomb phase" in frustrated systems
• Floquet approach to ${\mathbb{Z}}_2$ lattice gauge theories with ultracold atoms in optical lattices
• Topological Order and Conformal Quantum Critical Points
• Spin Ice, Fractionalization and Topological Order
• Short-ranged RVB physics, quantum dimer models and Ising gauge theories
• Coulomb and Liquid Dimer Models in Three Dimensions
• Topological order, emergent gauge fields, and Fermi surface reconstruction
• Topologically protected quantum bits from Josephson junction arrays
• Fermions, strings, and gauge fields in lattice spin models
• The Chemistry of Quantum Spin Liquids
• Quantum spin ices and topological phases from dipolar-octupolar doublets on the pyrochlore lattice
• Quantum Ice : a quantum Monte Carlo study
• Three dimensional resonating valence bond liquids and their excitations
• Exotic order in simple models of bosonic systems
• Quantum Criticality and Deconfinement in Phase Transitions Between Valence Bond Solids
• Sign-Problem-Free Fermionic Quantum Monte Carlo: Developments and Applications
• Half-filled Landau level, topological insulator surfaces, and three dimensional quantum spin liquids
• Ice: a strongly correlated proton system
• Artificial light and quantum order in systems of screened dipoles
• Emergent ${\mathbb{Z}}_2$ gauge theories and topological excitations in Rydberg atom arrays
• Extended quantum U(1)-liquid phase in a three-dimensional quantum dimer model
• Emergent gauge fields and the high temperature superconductors
• Classical and quantum theories of proton disorder in hexagonal water ice
• Emergent Gauge Theory in Rydberg Atom Arrays
• Proposal for the Detection of Magnetic Monopoles in Spin Ice via Nanoscale Magnetometry
• Irrational charge from topological order
• Quantum spin ice in three-dimensional Rydberg atom arrays
• Resonating Valence Bond States in an Electron-Phonon System
• Synthetic ${\mathbb{Z}}_2$ gauge theories based on parametric excitations of trapped ions
• Classical vertex model dualities in a family of 2D frustrated quantum antiferromagnets
• Polarization Plateaus in Hexagonal Water Ice $I_h$
• Hybrid Dyons, inverted Lorentz force and magnetic Nernst effect in quantum spin ice

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• Models of interacting bosons with exact ground states: a unified approach
• Can electronic quantum criticality drive phonon-induced linear-in-temperature resistivity?